Harish K. Pillai

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All published works

Action	Title	Year	Authors
+ PDF Chat	Optimal Moments on Redundancies in Noisy Parallel Computing Setup	2024	Sahasrajit Sarmasarkar Harish K. Pillai
+	Analysis of atypical orbits in one-dimensional piecewise-linear discontinuous maps	2023	Rajanikant A. Metri Bhooshan Rajpathak Harish K. Pillai
+	Unified framework for Fiedler-like strong linearizations of polynomial and rational matrices	2023	Ranjan Kumar Das Harish K. Pillai
+ PDF Chat	Analysis of atypical orbits in one dimensional linear piecewise-smooth discontinuous map	2022	Rajanikant A. Metri Bhooshan Rajpathak Harish K. Pillai
+	Permutation Polynomials of $\mathbb{F}_{q^2}$ : A Linear Algebraic Approach	2022	Megha Kolhekar Harish K. Pillai
+	A study of third order bimodal switched system	2021	Keyur K. Mistry Harish K. Pillai
+	Comparison Between Different Notions of Stability for Laurent Systems	2020	Chirayu D. Athalye Debasattam Pal Harish K. Pillai
+	A Classification of Permutation Polynomials through Some Linear Maps	2019	Megha Kolhekar Harish K. Pillai
+	Behavior of $n$ Infinite Chains of Kinematic Points With the Immediate-Neighbors Interaction Dynamics	2019	Chirayu D. Athalye Debasattam Pal Harish K. Pillai
+	Yet another approach to the Algebraic Riccati Inequality	2019	A. Sanand Amita Dilip Harish K. Pillai
+	A Classification of Permutation Polynomials through Some Linear Maps	2019	Megha Kolhekar Harish K. Pillai
+	A complete characterization of determinantal quadratic polynomials	2017	Papri Dey Harish K. Pillai
+	ℓ<sup>∞</sup>-Stability of n infinite chains of kinematic points	2017	Chirayu D. Athalye Debasattam Pal Harish K. Pillai
+	Characterization of solutions of non-symmetric algebraic Riccati equations	2016	A. Sanand Amita Dilip Harish K. Pillai
+	A Complete Characterization of Quadratic Polynomials that are determinants of Linear Matrix Polynomials	2016	Papri Dey Harish K. Pillai
+	A Complete Characterization of Determinantal Quadratic Polynomials	2016	Papri Dey Harish K. Pillai
+	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msup></mml:math>-stability analysis of discrete autonomous systems described by Laurent polynomial matrix operators	2016	Chirayu D. Athalye Debasattam Pal Harish K. Pillai
+	A Complete Characterization of Determinantal Quadratic Polynomials	2016	Papri Dey Harish K. Pillai
+	Stability analysis of discrete 2-D autonomous systems	2015	Chirayu D. Athalye Debasattam Pal Harish K. Pillai
+	Characterization of solutions of non-square algebraic Riccati equations	2015	A. Sanand Amita Dilip Harish K. Pillai
+	Analysis of unstable periodic orbits and chaotic orbits in the one-dimensional linear piecewise-smooth discontinuous map	2015	Bhooshan Rajpathak Harish K. Pillai Santanu Bandyopadhyay
+	Novel representation of discrete n-D autonomous systems	2015	Debasattam Pal Harish K. Pillai
+	A Characterization of Solutions of the ARE and ARI	2015	A. Sanand Amita Dilip Harish K. Pillai
+	Novel representation formulae for discrete 2D autonomous systems	2014	Debasattam Pal Harish K. Pillai
+	Necessary condition on Lyapunov functions corresponding to the globally asymptotically stable equilibrium point	2014	Chirayu D. Athalye Harish K. Pillai Debasattam Pal
+	Algorithms for the theory of restrictions of scalar $$n$$ n -D systems to proper subspaces of $$\mathbb {R}^n$$ R n	2014	Debasattam Pal Harish K. Pillai
+	Necessary condition on Lyapunov functions corresponding to the globally asymptotically stable equilibrium point	2014	Chirayu D. Athalye Harish K. Pillai Debasattam Pal
+	Representation Formulae for Discrete 2D Autonomous Systems	2013	Debasattam Pal Harish K. Pillai
+ PDF Chat	Weight Spectrum of Codes Associated With the Grassmannian <formula formulatype="inline"><tex Notation="TeX">$G(3,7)$</tex></formula>	2012	Krishna Kaipa Harish K. Pillai
+ PDF Chat	Analysis of stable periodic orbits in the one dimensional linear piecewise-smooth discontinuous map	2012	Bhooshan Rajpathak Harish K. Pillai Santanu Bandyopadhyay
+	On restrictions of n-d systems to 1-d subspaces	2012	Debasattam Pal Harish K. Pillai
+	Computing the radius of controllability for state space systems	2012	Swanand Khare Harish K. Pillai Madhu N. Belur
+	On “P” property and the column-W property	2012	H. Priyadarshan Harish K. Pillai
+	On Multisequences and their extensions	2012	Srinivasan Krishnaswamy Harish K. Pillai
+	Weight spectrum of codes associated with the Grassmannian G(3,7)	2012	Krishna Kaipa Harish K. Pillai
+	On restrictions of n-D systems to 1-D subspaces	2011	Debasattam Pal Harish K. Pillai
+	Analysis of Stable Periodic Orbits in 1-D Linear Piecewise Smooth Maps	2011	Bhooshan Rajpathak Harish K. Pillai Santanu Bandopadhyay
+	Higher weights of Grassmann codes in terms of properties of Schubert unions	2011	Sudhir R. Ghorpade Trygve Johnsen Arunkumar R. Patil Harish K. Pillai
+	Computing approximate GCD of univariate polynomials	2010	Swanand Khare Harish K. Pillai Madhu N. Belur
+ PDF Chat	Subclose families, threshold graphs, and the weight hierarchy of Grassmann and Schubert codes	2009	Sudhir R. Ghorpade Arunkumar R. Patil Harish K. Pillai
+	Decomposable subspaces, linear sections of Grassmann varieties, and higher weights of Grassmann codes	2008	Sudhir R. Ghorpade Arunkumar R. Patil Harish K. Pillai
+	Subclose Families, Threshold Graphs, and the Weight Hierarchy of Grassmann and Schubert Codes	2008	Sudhir R. Ghorpade Arunkumar R. Patil Harish K. Pillai
+ PDF Chat	A behavioral view of Nevanlinna-Pick interpolation	2006	Ishan Pendharkar Harish K. Pillai Paolo Rapisarda
+ PDF Chat	Vector-exponential time-series modeling for polynomial J-spectral factorization	2006	Ishan Pendharkar Harish K. Pillai Paolo Rapisarda
+	Constructive multidimensional systems theory with applications	2006	Harish K. Pillai Jeffrey J. Wood Eric Rogers
+ PDF Chat	On invariant zeros of linear systems of PDEs	2005	P. Zaris Jeffrey J. Wood Harish K. Pillai Eric Rogers
+	The sum-of-squares problem and dissipative systems	2005	Jan C. Willems Harish K. Pillai
+	The behavioural approach to distributed systems	2003	Harish K. Pillai Jan C. Willems
+	Linear variational behaviors	2003	Tommaso Cotroneo Harish K. Pillai
+	None	2002	Harish K. Pillai H. Narayanan
+	Lossless and Dissipative Distributed Systems	2002	Harish K. Pillai Jan C. Willems
+	A Behavioral Approach to Control of Distributed Systems	1999	Harish K. Pillai Shiva Shankar

Common Coauthors

Coauthor	Papers Together
Debasattam Pal	13
Chirayu D. Athalye	7
Bhooshan Rajpathak	5
Sudhir R. Ghorpade	4
A. Sanand Amita Dilip	4
Papri Dey	4
Arunkumar R. Patil	4
Jan C. Willems	3
Megha Kolhekar	3
Swanand Khare	2
Madhu N. Belur	2
Jeffrey J. Wood	2
Santanu Bandyopadhyay	2
Krishna Kaipa	2
Ishan Pendharkar	2
Rajanikant A. Metri	2
Eric Rogers	2
Paolo Rapisarda	2
Trygve Johnsen	1
Sahasrajit Sarmasarkar	1
Tommaso Cotroneo	1
Ranjan Kumar Das	1
Shiva Shankar	1
P. Zaris	1
Srinivasan Krishnaswamy	1
Santanu Bandopadhyay	1
Keyur K. Mistry	1
H. Priyadarshan	1
H. Narayanan	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Multidimensional constant linear systems	1990	Ulrich Oberst	12
+	A Behavioral Approach to Control of Distributed Systems	1999	Harish K. Pillai Shiva Shankar	9
+	On Quadratic Differential Forms	1998	Jan C. Willems Harry L. Trentelman	8
+	Characteristic cones and stability properties of two-dimensional autonomous behaviors	2000	Maria Elena Valcher	8
+ PDF Chat	Time-relevant stability of 2D systems	2011	Diego Napp Paolo Rapisarda Paula Rocha	6
+ PDF Chat	Infinite chains of kinematic points	2012	Avraham Feintuch Bruce A. Francis	5
+	Representation Formulae for Discrete 2D Autonomous Systems	2013	Debasattam Pal Harish K. Pillai	5
+	The canonical Cauchy problem for linear systems of partial difference equations with constant coefficients over the completer-dimensional integral lattice ?2r	1993	Eva Zerz Ulrich Oberst	4
+ PDF Chat	Solving Systems of Polynomial Equations	2002	Bernd Sturmfels	4
+	Lossless and Dissipative Distributed Systems	2002	Harish K. Pillai Jan C. Willems	4
+	Introductory functional analysis with applications	1978	Erwin Kreyszig	4
+ PDF Chat	Commutative algebra with a view toward algebraic geometry	1996	David Eisenbud	4
+ PDF Chat	Least squares stationary optimal control and the algebraic Riccati equation	1971	Jan C. Willems	3
+	Optimization and Dynamical Systems	1994	Uwe Helmke J.B. Moore	3
+ PDF Chat	Schubert unions in Grassmann varieties	2007	Johan P. Hansen Trygve Johnsen Kristian Ranestad	3
+	Symbolic computation and signal processing	2003	Hyungju Park	3
+ PDF Chat	Lyapunov stability analysis of higher-order 2-D systems	2010	Chiaki Kojima Paolo Rapisarda Kiyofumi Takaba	3
+	An Introduction to Infinite-Dimensional Linear Systems Theory	1995	Ruth F. Curtain Hans Zwart	3
+	Decomposable subspaces, linear sections of Grassmann varieties, and higher weights of Grassmann codes	2008	Sudhir R. Ghorpade Arunkumar R. Patil Harish K. Pillai	3
+	The analysis of linear partial differential operators	1990	Lars Hörmander	3
+	Algebraic Riccati Equations	2006	Peter Lancaster Leiba Rodman	3
+ PDF Chat	BORDER-COLLISION BIFURCATIONS IN ONE-DIMENSIONAL DISCONTINUOUS MAPS	2003	Parag Jain Soumitro Banerjee	3
+	None	2001	Ulrich Oberst Franz Pauer	3
+	On the existence of low-period orbits in n-dimensional piecewise linear discontinuous maps	2007	Partha Sharathi Dutta Bitihotra Routroy Soumitro Banerjee Shariful Alam	3
+	Border-collision bifurcations including “period two to period three” for piecewise smooth systems	1992	Helena E. Nusse James A. Yorke	3
+	Border-collision bifurcations in a generalized piecewise linear-power map	2011	Zhiying Qin Jichen Yang Soumitro Banerjee Guirong Jiang	3
+	Autonomous multidimensional systems and their implementation by behavioral control	2010	Diego Napp Paula Rocha	3
+	Algebraic analysis of linear multidimensional control systems	1999	J.-F. Pommaret	3
+	Time-autonomy versus time-controllability	2002	Amol Sasane Erik G. F. Thomas Jan C. Willems	3
+	The Matrix Equation $AZ + B - ZCZ - ZD = 0$	1976	Hans-Bernhard Meyer	2
+	Occurrence of multiple attractor bifurcations in the two-dimensional piecewise linear normal form map	2011	Виктор Аврутин Michael Schanz Soumitro Banerjee	2
+	Analysis of unstable periodic orbits and chaotic orbits in the one-dimensional linear piecewise-smooth discontinuous map	2015	Bhooshan Rajpathak Harish K. Pillai Santanu Bandyopadhyay	2
+ PDF Chat	Analysis of stable periodic orbits in the one dimensional linear piecewise-smooth discontinuous map	2012	Bhooshan Rajpathak Harish K. Pillai Santanu Bandyopadhyay	2
+	Bistability and border-collision bifurcations for a family of unimodal piecewise smooth maps	2005	Iryna Sushko Anna Agliari Laura Gardini	2
+	Polynomial Factorization via the Riccati Equation	1976	D.J. Clements Brian D. O. Anderson	2
+ PDF Chat	LMI Representations of Convex Semialgebraic Sets and Determinantal Representations of Algebraic Hypersurfaces: Past, Present, and Future	2012	Victor Vinnikov	2
+	Some geometric results in semidefinite programming	1995	Motakuri V. Ramana A. J. Goldman	2
+ PDF Chat	Trilinear alternating forms on a vector space of dimension 7	1988	Arjeh M. Cohen Aloysius G. Helminck	2
+	Schubert varieties, linear codes and enumerative combinatorics	2005	Sudhir R. Ghorpade M. A. Tsfasman	2
+ PDF Chat	Factorization of Matrix Polynomials with Symmetries	1994	André C. M. Ran Leiba Rodman	2
+	Total linear least squares and the algebraic Riccati equation	1992	Bart De Moor Johan David	2
+	On the fully developed bandcount adding scenario	2008	Виктор Аврутин Michael Schanz	2
+	Doubling of the oscillation period with C-bifurcations in piecewise-continuous systems	1970	M.I. Feigin	2
+	Codimension-2 Border Collision, Bifurcations in One-Dimensional, Discontinuous Piecewise Smooth Maps	2014	Laura Gardini Виктор Аврутин Iryna Sushko	2
+ PDF Chat	Linear matrix inequality representation of sets	2006	J. William Helton Victor Vinnikov	2
+	Nonsymmetric Algebraic Riccati Equations and Hamiltonian-like Matrices	1998	Jonq Juang Wen‐Wei Lin	2
+	Polynomial J-spectral factorization	1994	H. Kwakernaak Michael Šebek	2
+ PDF Chat	Stable and real-zero polynomials in two variables	2014	Anatolii Grinshpan Dmitry S. Kaliuzhnyi-Verbovetskyi Victor Vinnikov Hugo J. Woerdeman	2
+	Primeness of multivariate polynomial matrices	1996	Eva Zerz	2
+ PDF Chat	Normal form maps for grazing bifurcations in n-dimensional piecewise-smooth dynamical systems	2001	Mario di Bernardo Chris Budd Alan R. Champneys	2