Andrei Agrachev

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All published works

Action	Title	Year	Authors
+	Generic controllability of equivariant systems and applications to particle systems and neural networks	2025	Andrei Agrachev Cyril Letrouit
+ PDF Chat	Relative heat content asymptotics for sub-Riemannian manifolds	2024	Andrei Agrachev Luca Rizzi Tommaso Rossi
+ PDF Chat	Quantitative tightness for three-dimensional contact manifolds: a sub-Riemannian approach	2024	Andrei Agrachev Stefano Baranzini Eugenio Bellini Luca Rizzi
+ PDF Chat	Generic controllability of equivariant systems and applications to particle systems and neural networks	2024	Andrei Agrachev Cyril Letrouit
+ PDF Chat	Optimal Control for Linear Systems with $L^1$-norm Cost	2024	Andrei Agrachev Bettina Kazandjian
+ PDF Chat	“Good Lie Brackets” for Control Affine Systems	2024	Andrei Agrachev
+ PDF Chat	Index theorems for graph-parametrized optimal control problems	2023	Andrei Agrachev Stefano Baranzini Ivan Beschastnyi
+	"Good Lie Brackets" for Control Affine Systems	2023	Andrei Agrachev
+	Lyapunov Exponents of Linear Switched Systems	2023	Andrei Agrachev M. Motta
+ PDF Chat	Ants and bracket generating distributions in dimensions 5 and 6	2022	Andrei Agrachev Paweł Nurowski
+	Index theorems for graph-parametrized optimal control problems	2022	Andrei Agrachev Stefano Baranzini Ivan Beschastnyi
+ PDF Chat	Jacobi fields in optimal control: Morse and Maslov indices	2021	Andrei Agrachev Ivan Beschastnyi
+ PDF Chat	Control on the Manifolds of Mappings with a View to the Deep Learning	2021	Andrei Agrachev Andrey Sarychev
+	Ants and bracket generating distributions in dimension 5 and 6	2021	Andrei Agrachev Paweł Nurowski
+	Relative heat content asymptotics for sub-Riemannian manifolds	2021	Andrei Agrachev Luca Rizzi Tommaso Rossi
+ PDF Chat	Normal forms for the endpoint map near nice singular curves for rank-two distributions	2020	Andrei Agrachev Francesco Boarotto
+	Control On the Manifolds Of Mappings As a Setting For Deep Learning.	2020	Andrei Agrachev Andrey Sarychev
+	Control on the Manifolds of Mappings with a View to the Deep Learning	2020	Andrei Agrachev Andrey Sarychev
+	Jacobi Fields in Optimal Control: One-dimensional Variations	2020	Andrei Agrachev Ivan Beschastnyi
+	Soft construction of Floer-type homologies	2020	Andrei Agrachev
+ PDF Chat	Chebyshev Polynomials and Best Rank-one Approximation Ratio	2020	Andrei Agrachev Khazhgali Kozhasov André Uschmajew
+ PDF Chat	Control in the Spaces of Ensembles of Points	2020	Andrei Agrachev Andrey Sarychev
+	Control on the Manifolds of Mappings with a View to the Deep Learning	2020	Andrei Agrachev Andrey K. Sarychev
+	Geometry of Surfaces in R3	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Nonholonomic Tangent Space	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Regularity of the Sub-Riemannian Distance	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Volumes in Sub-Riemannian Geometry	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Geometry of Parametrized Curves in Lagrangian Grassmannians Igor Zelenko	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Sub-Riemannian Structures	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Curves in the Lagrange Grassmannian	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	First Integrals and Integrable Systems	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Asymptotic Expansion of the 3D Contact Exponential Map	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Endpoint Map and Exponential Map	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Vector Fields	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Lie Groups and Left-Invariant Sub-Riemannian Structures	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Introduction	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Some Model Spaces	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Preface	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Riemannian Curvature	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Curvature in 3D Contact Sub-Riemannian Geometry	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Jacobi Curves	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Integrability of the Sub-Riemannian Geodesic Flow on 3D Lie Groups	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	2D Almost-Riemannian Structures	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Pontryagin Extremals: Characterization and Local Minimality	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	The Sub-Riemannian Heat Equation	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Index	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+ PDF Chat	A Comprehensive Introduction to Sub-Riemannian Geometry	2019	Andrei Agrachev Davide Barilari Ugo Boscain
+	Control in the spaces of ensembles of points	2019	Andrei Agrachev Andrey Sarychev
+ PDF Chat	Volume geodesic distortion and Ricci curvature for Hamiltonian dynamics	2019	Andrei Agrachev Davide Barilari Elisa Paoli
+	Chebyshev polynomials and best rank-one approximation ratio	2019	Andrei Agrachev Khazhgali Kozhasov André Uschmajew
+	Оптимальное управление и дифференциальные уравнения	2019	Andrei Agrachev
+ PDF Chat	Spectrum of the Second Variation	2019	Andrei Agrachev
+	Control in the spaces of ensembles of points	2019	Andrei Agrachev Andrey K. Sarychev
+	Chebyshev polynomials and best rank-one approximation ratio	2019	Andrei Agrachev Khazhgali Kozhasov André Uschmajew
+	Jacobi Fields in Optimal Control II: One-dimensional Variations	2018	Andrei Agrachev Ivan Beschastnyi
+	Curvature: A Variational Approach	2018	Andrei Agrachev Davide Barilari Luca Rizzi
+ PDF Chat	Optimality of Broken Extremals	2018	Andrei Agrachev Carolina Biolo
+ PDF Chat	Curvature: A Variational Approach	2018	Andrei Agrachev Davide Barilari Luca Rizzi
+	Spectrum of the second variation	2018	Andrei Agrachev
+	Jacobi Fields in Optimal Control I: Morse and Maslov Indices	2018	Andrei Agrachev Ivan Beschastnyi
+	Structure of the endpoint map near nice singular curves	2018	Andrei Agrachev Francesco Boarotto
+	Homotopically visible and invisible singular trajectories	2018	Andrei Agrachev
+ PDF Chat	Switching in Time-Optimal Problem with Control in a Ball	2018	Andrei Agrachev Carolina Biolo
+	Jacobi Fields in Optimal Control II: One-dimensional Variations	2018	Andrei Agrachev Ivan Beschastnyi
+	Spectrum of the second variation	2018	Andrei Agrachev
+	Optimality of broken extremals	2017	Andrei Agrachev Carolina Biolo
+ PDF Chat	Homotopically invisible singular curves	2017	Andrei Agrachev Francesco Boarotto Antonio Lerario
+	Intrinsic random walks in Riemannian and sub-Riemannian geometry <i>via</i> volume sampling	2017	Andrei Agrachev Ugo Boscain Robert W. Neel Luca Rizzi
+	Optimality of broken extremals	2017	Andrei Agrachev Carolina Biolo
+	Topics in sub-Riemannian geometry	2016	Andrei Agrachev
+	Switching in time-optimal problem with co-dimension 1 control	2016	Andrei Agrachev Carolina Biolo
+	Switching in time-optimal problem with control in a ball	2016	Andrei Agrachev Carolina Biolo
+	Introduction to geodesics in sub-Riemannian geometry	2016	Andrei Agrachev Davide Barilari Ugo Boscain
+ PDF Chat	Switching in Time-Optimal Problem: the 3D Case with 2D Control	2016	Andrei Agrachev Carolina Biolo
+ PDF Chat	Ensemble controllability by Lie algebraic methods	2016	Andrei Agrachev Yuliy Baryshnikov Andrey Sarychev
+	Switching in time-optimal problem. The 3-D case with 2-D control	2016	Andrei Agrachev Carolina Biolo
+	Homotopically Invisible Singular Curves	2016	Andrei Agrachev Francesco Boarotto Antonio Lerario
+ PDF Chat	Sub-Riemannian Curvature in Contact Geometry	2016	Andrei Agrachev Davide Barilari Luca Rizzi
+	Некоторые вопросы субримановой геометрии	2016	Andrei Agrachev
+	Ensemble controllability by Lie algebraic methods	2016	Andrei Agrachev Yuliy Baryshnikov Andrey Sarychev
+	Switching in time-optimal problem. The 3-D case with 2-D control	2016	Andrei Agrachev Carolina Biolo
+	Homotopically Invisible Singular Curves	2016	Andrei Agrachev Francesco Boarotto Antonio Lerario
+	Switching in time-optimal problem with control in a ball	2016	Andrei Agrachev Carolina Biolo
+ PDF Chat	Tangent Hyperplanes to Subriemannian Balls	2015	Andrei Agrachev
+ PDF Chat	Geodesics and horizontal-path spaces in Carnot groups	2015	Andrei Agrachev Alessandro Gentile Antonio Lerario
+	Tangent hyperplanes to subriemannian balls	2015	Andrei Agrachev
+	Tangent hyperplanes to subriemannian balls	2015	Andrei Agrachev
+ PDF Chat	Quadratic Cohomology	2014	Andrei Agrachev
+ PDF Chat	On Conjugate Times of LQ Optimal Control Problems	2014	Andrei Agrachev Luca Rizzi Pavel Silveira
+ PDF Chat	Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds	2014	Andrei Agrachev Paul W. Y. Lee
+	Some open problems	2014	Andrei Agrachev
+ PDF Chat	Bishop and Laplacian Comparison Theorems on Three-Dimensional Contact Sub-Riemannian Manifolds with Symmetry	2013	Andrei Agrachev Paul W. Y. Lee
+	The curvature: a variational approach	2013	Andrei Agrachev Davide Barilari Luca Rizzi
+	Quadratic cohomology	2013	Andrei Agrachev
+	Vladimir Mikhailovich Zakalyukin (obituary)	2012	Andrei Agrachev D. V. Anosov I. A. Bogaevskii A. S. Bortakovskii Ali Budak V. A. Vassiliev Viktor Vladimirovich Goryunov S. M. Gusein‐Zade А. А. Давыдов V R Zarodov
+ PDF Chat	Systems of quadratic inequalities	2012	Andrei Agrachev Antonio Lerario
+	Introduction to Riemannian and Sub-Riemannian geometry	2012	Andrei Agrachev Davide Barilari Ugo Boscain
+	On robust Lie-algebraic stability conditions for switched linear systems	2012	Andrei Agrachev Yuliy Baryshnikov Daniel Liberzon
+ PDF Chat	Sub-Riemannian structures on 3D lie groups	2012	Andrei Agrachev Davide Barilari
+ PDF Chat	On the space of symmetric operators with multiple ground states	2011	Andrei Agrachev
+	Invariants, volumes and heat kernels in sub-Riemannian geometry	2011	Andrei Agrachev Davide Barilari
+	On the Space of Symmetric Operators with Multiple Ground States	2011	Andrei Agrachev
+	Bishop and Laplacian Comparison Theorems on Three Dimensional Contact Subriemannian Manifolds with Symmetry	2011	Andrei Agrachev Paul W. Y. Lee
+ PDF Chat	On the Hausdorff volume in sub-Riemannian geometry	2011	Andrei Agrachev Davide Barilari Ugo Boscain
+ PDF Chat	Invariant Lagrangian submanifolds of dissipative systems	2011	Andrei Agrachev
+	On the Space of Symmetric Operators with Multiple Ground States	2011	Andrei Agrachev
+	Bishop and Laplacian Comparison Theorems on Three Dimensional Contact Subriemannian Manifolds with Symmetry	2011	Andrei Agrachev Paul W. Y. Lee
+	Sub-Riemannian structures on 3D Lie groups	2010	Andrei Agrachev Davide Barilari
+ PDF Chat	Well-posed infinite horizon variational problems on a compact manifold	2010	Andrei Agrachev
+ PDF Chat	Dynamics control by a time-varying feedback	2010	Andrei Agrachev Marco Caponigro
+ PDF Chat	Continuity of optimal control costs and its application to weak KAM theory	2010	Andrei Agrachev Paul W. Y. Lee
+	Invariant Lagrange submanifolds of dissipative systems	2010	Andrei Agrachev
+	SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI INTERNATIONAL SCHOOL FOR ADVANCED STUDIES Almost-Riemannian Geometry from a Control Theoretical Viewpoint	2010	Andrei Agrachev Roberta Ghezzi Ugo Boscain
+	Sub-Riemannian structures on 3D Lie groups	2010	Andrei Agrachev Davide Barilari
+ PDF Chat	Two-dimensional almost-Riemannian structures with tangency points	2009	Andrei Agrachev Ugo Boscain G. Charlot Roberta Ghezzi Mario Sigalotti
+	Two-dimensional almost-Riemannian structures with tangency points	2009	Andrei Agrachev Ugo Boscain G. Charlot Roberta Ghezzi Mario Sigalotti
+ PDF Chat	Controllability on the group of diffeomorphisms	2009	Andrei Agrachev Marco Caponigro
+ PDF Chat	Optimal transportation under nonholonomic constraints	2009	Andrei Agrachev Paul Lee
+	Generalized Ricci Curvature Bounds for Three Dimensional Contact Subriemannian manifolds	2009	Andrei Agrachev Paul Lee
+ PDF Chat	Any sub-Riemannian metric has points of smoothness	2009	Andrei Agrachev
+ PDF Chat	The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups	2009	Andrei Agrachev Ugo Boscain Jean-Paul Gauthier Francesco Rossi
+	Continuity of Optimal Control Costs and its application to Weak KAM Theory	2009	Andrei Agrachev P. Lee
+	Well-posed infinite horizon variational problems on a compact manifold	2009	Andrei Agrachev
+	Generalized Ricci Curvature Bounds for Three Dimensional Contact Subriemannian manifolds	2009	Andrei Agrachev Paul Lee
+ PDF Chat	Smooth optimal synthesis for infinite horizon variational problems	2008	Andrei Agrachev Francesca Chittaro
+	Nonlinear and Optimal Control Theory: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-29, 2004	2008	Andrei Agrachev Paolo Nistri Gianna Stefani
+	Hamiltonian systems and optimal control	2008	Andrei Agrachev
+	Extremals Flows and Infinite Horizon Optimization	2008	Andrei Agrachev Francesca Chittaro
+ PDF Chat	Geometry of Optimal Control Problems and Hamiltonian Systems	2008	Andrei Agrachev
+	A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds	2008	Andrei Agrachev Ugo Boscain Mario Sigalotti
+	Any sub-Riemannian Metric has Points of Smoothness	2008	Andrei Agrachev
+	The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups	2008	Andrei Agrachev Ugo Boscain Jean-Paul Gauthier Francesco Rossi
+	Families of vector fields which generate the group of diffeomorphisms	2008	Andrei Agrachev Marco Caponigro
+	Subanalyticity of distance and spheres in sub-riemannian geometry	2007	Andrei Agrachev Jean-Paul Gauthier
+	Hyperbolicity and Curvature in Dynamics and Control.	2007	Francesca Chittaro Andrei Agrachev
+	Control Theory and Optimal Mass Transport	2007	Andrei Agrachev Paul Lee
+ PDF Chat	Rolling balls and octonions	2007	Andrei Agrachev
+ PDF Chat	On finite-dimensional projections of distributions for solutions of randomly forced PDE's	2007	Andrei Agrachev Sergei Kuksin Andrey Sarychev Armen Shirikyan
+ PDF Chat	On Feedback Classification of Control-Affine Systems with One- and Two-Dimensional Inputs	2007	Andrei Agrachev Igor Zelenko
+	Two-dimensional almost-Riemannian manifolds	2007	Andrei Agrachev Ugo Boscain Mario Sigalotti
+	Optimal Transportation under Nonholonomic Constraints	2007	Andrei Agrachev Paul C. Lee
+ PDF Chat	On finite-dimensional projections of distributions for solutions of randomly forced 2D Navier–Stokes equations	2006	Andrei Agrachev Sergei Kuksin Andrey Sarychev Armen Shirikyan
+	NUROWSKI'S CONFORMAL STRUCTURES FOR (2,5)-DISTRIBUTIONS VIA DYNAMICS OF ABNORMAL EXTREMALS(Developments of Cartan Geometry and Related Mathematical Problems)	2006	Andrei Agrachev Igor Zelenko
+	Nurowski's conformal structures for (2,5)-distributions via dynamics of abnormal extremals	2006	Andrei Agrachev Igor Zelenko
+	A Gauss-Bonnet-like Formula on Two-Dimensional Almost-Riemannian Manifolds	2006	Andrei Agrachev Ugo Boscain Mario Sigalotti
+	Rolling balls and Octonions	2006	Andrei Agrachev
+ PDF Chat	Rigid Carnot Algebras: A Classification	2005	Andrei Agrachev A. Marigo
+	On Curvatures and Focal Points of Distributions of Dynamical Lagrangian Distributions and their Reductions by First Integrals	2005	Andrei Agrachev N. N. Chtcherbakova Igor Zelenko
+	Geometry of optimal control problems and Hamiltonian systems	2005	Andrei Agrachev
+	On feedback classification of control-affine systems with one and two-dimensional inputs	2005	Andrei Agrachev Igor Zelenko
+	Hamiltonian systems of negative curvature are hyperbolic	2005	Andrei Agrachev N. N. Shcherbakova
+	Controllability by low modes forcing of the navier-stokes equation with periodic data	2004	Andrei Agrachev Andrey Sarychev
+	Navier-Stokes equation controlled by degenerate forcing: controllability of finite-dimensional approximations	2004	Andrei Agrachev Andrey Sarychev
+	Elements of Exterior Calculus and Symplectic Geometry	2004	Andrei Agrachev Yuri L. Sachkov
+	Examples of Optimal Control Problems on Compact Lie Groups	2004	Andrei Agrachev Yuri L. Sachkov
+	Vector Fields and Control Systems on Smooth Manifolds	2004	Andrei Agrachev Yuri L. Sachkov
+	Control Theory from the Geometric Viewpoint	2004	Andrei Agrachev Yuri L. Sachkov
+	The Orbit Theorem and its Applications	2004	Andrei Agrachev Yuri L. Sachkov
+	Linear Time-Optimal Problem	2004	Andrei Agrachev Yuri L. Sachkov
+	Feedback and State Equivalence of Control Systems	2004	Andrei Agrachev Yuri L. Sachkov
+	Hamiltonian Systems for Geometric Optimal Control Problems	2004	Andrei Agrachev Yuri L. Sachkov
+	State Linearizability of Nonlinear Systems	2004	Andrei Agrachev Yuri L. Sachkov
+	Pontryagin Maximum Principle	2004	Andrei Agrachev Yuri L. Sachkov
+	Rolling Bodies	2004	Andrei Agrachev Yuri L. Sachkov
+	Curvature	2004	Andrei Agrachev Yuri L. Sachkov
+	Hamiltonian systems of negative curvature are hyperbolic	2004	N. N. Chtcherbakova Andrei Agrachev
+	Second Order Optimality Conditions	2004	Andrei Agrachev Yuri L. Sachkov
+	Elements of Chronological Calculus	2004	Andrei Agrachev Yuri L. Sachkov
+	Nonholonomic tangent spaces: intrinsic construction and rigid dimensions	2003	Andrei Agrachev A. Marigo
+	An intrinsic approach to the control of rolling bodies	2003	Andrei Agrachev Yu. L. Sachkov
+	Lie-algebraic conditions for exponential stability of switched systems	2003	Andrei Agrachev Daniel Liberzon
+	On the Local Structure of Optimal Trajectories in <i>R</i><sup>3</sup>	2003	Andrei Agrachev Mario Sigalotti
+	On the equivalence of different types of local minima in sub-Riemannian problems	2002	Andrei Agrachev
+ PDF Chat	Strong Optimality for a Bang-Bang Trajectory	2002	Andrei Agrachev Gianna Stefani Pierluigi Zezza
+	SYMPLECTIC METHODS FOR STRONG LOCAL OPTIMALITY IN THE BANG-BANG CASE	2002	Andrei Agrachev Gianna Stefani Pierluigi Zezza
+	Optimal Control Problem for a Nonlinear Driftless 5-Dimensional System with 2 Inputs	2001	Andrei Agrachev Yuri L. Sachkov
+ PDF Chat	On the subanalyticity of Carnot–Caratheodory distances	2001	Andrei Agrachev Jean-Paul Gauthier
+	Principal invariants of Jacobi curves	2001	Andrei Agrachev Igor Zelenko
+	Lie-Algebraic Stability Criteria for Switched Systems	2001	Andrei Agrachev Daniel Liberzon
+	None	2001	Andrei Agrachev Jean-Paul Gauthier
+	On stability of generic subriemannian caustic in the three-space	2000	Andrei Agrachev G. Charlot Jean-Paul André Gauthier V. M. Zakalyukin
+	On subriemannian caustics and wave fronts, for contact distributions in the three-space	2000	Andrei Agrachev G. Charlot Jean-Paul Gauthier V. M. Zakalyukin
+	None	1999	Andrei Agrachev Jean-Paul André Gauthier
+	Is it possible to recognize local controllability in a finite number of differentiations?	1999	Andrei Agrachev
+ PDF Chat	Sub-Riemannian Metrics: Minimality of Abnormal Geodesics versus Subanalyticity	1999	Andrei Agrachev Andrei V. Sarychev
+	An invariant second variation in optimal control	1998	Andrei Agrachev Gianna Stefani P. Zezza§
+	On morse theory for piecewise smooth functions	1997	Andrei Agrachev Diethard Pallaschke Stefan Scholtes
+	Feedback-invariant optimal control theory and differential geometry—I. Regular extremals	1997	Andrei Agrachev Р. В. Гамкрелидзе
+ PDF Chat	Sub-Riemannian sphere in Martinet flat case	1997	Andrei Agrachev Bernard Bonnard Monique Chyba Ivan Kupka
+	None	1997	Andrei Agrachev Diethard Pallaschke Stefan Scholtes
+ PDF Chat	Abnormal sub-Riemannian geodesics: Morse index and rigidity	1996	Andrei Agrachev Andrey Sarychev
+	Exponential mappings for contact sub-Riemannian structures	1996	Andrei Agrachev
+	On regularity properties of extremal controls	1995	Andrei Agrachev
+	Strong minimality of abnormal geodesics for 2-distributions	1995	Andrei Agrachev Andrey Sarychev
+	Commutative Harmonic Analysis III	1995	Andrei Agrachev Anna Gonchar Elena Mishchenko N. M. Ostianu V Sakharova A Zhishchenko V. P. Khavin N. K. Nikol’skij
+ PDF Chat	Volterra series and permutation groups	1994	Andrei Agrachev Р. В. Гамкрелидзе
+	Local controllability and semigroups of diffeomorphisms	1993	Andrei Agrachev Р. В. Гамкрелидзе
+	Local controllability for families of diffeomorphisms	1993	Andrei Agrachev Р. В. Гамкрелидзе
+	SYMPLECTIC GEOMETRY AND NECESSARY CONDITIONS FOR OPTIMALITY	1992	Andrei Agrachev Р. В. Гамкрелидзе
+	Ordinary differential equations on vector bundles and chronological calculus	1991	R. V. Gamrelidze Andrei Agrachev S. A. Vakhrameev
+	Quasi-extremality for control systems	1991	Andrei Agrachev Р. В. Гамкрелидзе
+	Quadratic maps and smooth vector-valued functions: Euler characteristics of level sets	1991	Andrei Agrachev Р. В. Гамкрелидзе
+	Newton Diagrams and Tangent Cones to Attainable Sets	1991	Andrei Agrachev
+	Morse Theory and Optimal Control Problems	1991	Andrei Agrachev S. A. Vakhrameev
+	THE LEVEL SET OF A SMOOTH MAPPING IN A NEIGHBOURHOOD OF A SINGULAR POINT AND THE ZEROS OF A QUADRATIC MAPPING	1991	E. R. Avakov Andrei Agrachev A. V. Arutyunov
+ PDF Chat	Quadratic mappings in geometric control theory	1990	Andrei Agrachev
+	Topology of quadratic maps and hessians of smooth maps	1990	Andrei Agrachev
+	Local invariants of smooth control systems	1989	Andrei Agrachev Р. В. Гамкрелидзе Andrey Sarychev
+	Differential-geometric and group-theoretical methods in optimal control theory	1985	Andrei Agrachev S. A. Vakhrameev Р. В. Гамкрелидзе
+ PDF Chat	Chronological series and the Cauchy-Kowalevski theorem	1983	Andrei Agrachev S. A. Vakhrameev
+	On superpositions of continuous functions	1974	Andrei Agrachev

Common Coauthors

Coauthor	Papers Together
Davide Barilari	36
Ugo Boscain	36
Yuri L. Sachkov	15
Andrey Sarychev	14
Carolina Biolo	10
Luca Rizzi	9
Р. В. Гамкрелидзе	9
Ivan Beschastnyi	7
Jean-Paul Gauthier	6
Igor Zelenko	6
Mario Sigalotti	6
Antonio Lerario	5
Francesco Boarotto	5
Paul W. Y. Lee	5
G. Charlot	4
S. A. Vakhrameev	4
Gianna Stefani	4
André Uschmajew	3
Stefano Baranzini	3
Khazhgali Kozhasov	3
Yuliy Baryshnikov	3
Paul Lee	3
Daniel Liberzon	3
Roberta Ghezzi	3
Francesca Chittaro	3
Marco Caponigro	3
Jean-Paul André Gauthier	2
A. Marigo	2
V. M. Zakalyukin	2
Stefan Scholtes	2
Cyril Letrouit	2
Armen Shirikyan	2
Sergei Kuksin	2
Diethard Pallaschke	2
Paweł Nurowski	2
Andrey K. Sarychev	2
Francesco Rossi	2
Natalia N. Chtcherbakova	2
Tommaso Rossi	2
Pierluigi Zezza	2
Paolo Nistri	1
N. N. Shcherbakova	1
R. V. Gamrelidze	1
V. A. Vassiliev	1
В. Н. Чубариков	1
V. D. Sedykh	1
Viktor Vladimirovich Goryunov	1
E. R. Avakov	1
Monique Chyba	1
Andrei V. Sarychev	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Control Theory from the Geometric Viewpoint	2004	Andrei Agrachev Yuri L. Sachkov	71
+	A Tour of Subriemannian Geometries, Their Geodesics and Applications	2006	Richard Montgomery	48
+	Local invariants of smooth control systems	1989	Andrei Agrachev Р. В. Гамкрелидзе Andrey Sarychev	47
+	Feedback-invariant optimal control theory and differential geometry—I. Regular extremals	1997	Andrei Agrachev Р. В. Гамкрелидзе	44
+	Exponential mappings for contact sub-Riemannian structures	1996	Andrei Agrachev	42
+ PDF Chat	Sub-Riemannian geometry	1986	Robert S. Strichartz	38
+	Shortest paths for sub-Riemannian metrics on rank-two distributions	1996	Wensheng Liu Héctor J. Sussman	35
+ PDF Chat	Sub-Riemannian sphere in Martinet flat case	1997	Andrei Agrachev Bernard Bonnard Monique Chyba Ivan Kupka	35
+	Sub-Riemannian Geometry and Optimal Transport	2014	Ludovic Rifford	34
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	34
+ PDF Chat	On the subanalyticity of Carnot–Caratheodory distances	2001	Andrei Agrachev Jean-Paul Gauthier	33
+	Differential geometry of curves in Lagrange Grassmannians with given Young diagram	2009	Igor Zelenko Chengbo Li	33
+ PDF Chat	Carnot-Carathéodory spaces seen from within	1996	Mikhael Gromov	33
+ PDF Chat	Any sub-Riemannian metric has points of smoothness	2009	Andrei Agrachev	32
+	Abnormal Minimizers	1994	Richard Montgomery	32
+	Sub-Riemannian Geometry	1996	A. Bellaïche Jean-Jacques Risler	32
+	Strong minimality of abnormal geodesics for 2-distributions	1995	Andrei Agrachev Andrey Sarychev	32
+ PDF Chat	Orbits of families of vector fields and integrability of distributions	1973	Héctor J. Sussmann	32
+	Small sub-Riemannian balls onR 3	1996	El-H. Ch. El-Alaoui Jean-Yves Gauthier Ivan Kupka	32
+ PDF Chat	On Carnot-Carathéodory metrics	1985	John W. Mitchell	32
+	Linear differential systems with singularities and an application to transitive Lie algebras	1966	Tadashi Nagano	31
+ PDF Chat	Morse-Sard type results in sub-Riemannian geometry	2005	Ludovic Rifford E. Tr�lat	31
+ PDF Chat	Invariant Carnot–Caratheodory Metrics on $S^3$, $SO(3)$, $SL(2)$, and Lens Spaces	2008	Ugo Boscain Francesco Rossi	31
+	Sub-Riemannian homogeneous spaces in dimensions 3 and 4	1996	Elisha Falbel Cláudio Gorodski	30
+ PDF Chat	The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups	2009	Andrei Agrachev Ugo Boscain Jean-Paul Gauthier Francesco Rossi	30
+ PDF Chat	Genericity results for singular curves	2006	Yacine Chitour Frédéric Jean Emmanuel Trélat	30
+ PDF Chat	On variational approach to differential invariants of rank two distributions	2005	Igor Zelenko	29
+ PDF Chat	Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds	2014	Andrei Agrachev Paul W. Y. Lee	29
+ PDF Chat	Hypoelliptic differential operators and nilpotent groups	1976	Linda Preiss Rothschild E. M. Stein	29
+ PDF Chat	A Formula for Popp’s Volume in Sub-Riemannian Geometry	2013	Davide Barilari Luca Rizzi	29
+	A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds	2008	Andrei Agrachev Ugo Boscain Mario Sigalotti	29
+	Nonholonomic manifolds and nilpotent analysis	1988	V. Gershkovich A. M. Vershik	29
+ PDF Chat	Maxwell strata in sub-Riemannian problem on the group of motions of a plane	2009	Игорь Анатольевич Моисеев Yuri L. Sachkov	29
+ PDF Chat	An extension of a theorem of Nagano on transitive Lie algebras	1974	Héctor J. Sussmann	28
+ PDF Chat	Parametrized curves in Lagrange Grassmannians	2007	Igor Zelenko Chengbo Li	28
+ PDF Chat	Nonisotropic 3-level quantum systems: complete solutions for minimum time and minimum energy	2005	Ugo Boscain Thomas Chambrion G. Charlot	28
+ PDF Chat	Sub-Riemannian structures on 3D lie groups	2012	Andrei Agrachev Davide Barilari	28
+	Control Theory and Singular Riemannian Geometry	1982	R. W. Brockett	28
+	Optimization and Nonsmooth Analysis	1990	Frank H. Clarke	28
+ PDF Chat	Principe de moindre action, propagation de la chaleur et estimees sous elliptiques sur certains groupes nilpotents	1977	Bernard Gaveau	27
+	Stratified Lie Groups and Potential Theory for their Sub-Laplacians	2007	Andrea Bonfiglioli Ermanno Lanconelli Francesco Uguzzoni	27
+	On subriemannian caustics and wave fronts, for contact distributions in the three-space	2000	Andrei Agrachev G. Charlot Jean-Paul Gauthier V. M. Zakalyukin	27
+	Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group	1974	Gerald B. Folland E. M. Stein	27
+	A cornucopia of four-dimensional abnormal sub-Riemannian minimizers	1996	Héctor J. Sussmann	27
+	Sur la géométrie pseudo-conforme des hypersurfaces de l'espace de deux variables complexes	1933	Élie Cartan	27
+ PDF Chat	Corrections to: ``Sub-Riemannian geometry''	1989	Robert S. Strichartz	27
+	3 Singular Extremals	1967	HenryJ. Kelley R. E. Kopp H. GARDNER MOYER	27
+ PDF Chat	Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane	2009	Yuri L. Sachkov	27
+ PDF Chat	Hypoelliptic second order differential equations	1967	Lars Hörmander	27
+	Metriques de Carnot-Caratheodory et Quasiisometries des Espaces Symetriques de rang un	1989	Pierre Pansu	27