A.N. Michel

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All published works

Action	Title	Year	Authors
+	On Periodic Solutions in Systems of High Order Differential Equations	2023	S. Skar Richard K. Miller A.N. Michel
+	Preface: Special issue dedicated to honoring the memory of Professor Dr. A.V. Balakrishnan	2016	A.N. Michel Štefan Bálint Seenith Sivasundaram
+	Fundamental Theory: Specialized Stability and Boundedness Results on Metric Spaces	2015	A.N. Michel Ling Hou Derong Liu
+	Infinite-Dimensional Dynamical Systems	2015	A.N. Michel Ling Hou Derong Liu
+	Stability of Dynamical Systems	2015	A.N. Michel Ling Hou Derong Liu
+	Ordinary Differential Equations	2014	Richard K. Miller A.N. Michel
+	Stability theory of discrete-time dynamical systems involving non-monotonic Lyapunov functions	2014	A.N. Michel Ling Hou
+	Applied Algebra and Functional Analysis	2011	A.N. Michel Charles J. Herget
+	Invariance results for linear, time-invariant, discrete-time systems	2011	A.N. Michel Ling Hou
+	Floquet theory for linear periodic differential equations with discontinuous right-hand side	2009	A.N. Michel Ling Hou
+	Stability results involving time-averaged Lyapunov function derivatives	2008	A.N. Michel Ling Hou
+	System Models, Differential Equations, and Initial-Value Problems	2007	Panos J. Antsaklis A.N. Michel
+ PDF Chat	Stability of Dynamical Systems	2007	A.N. Michel Ling Hou Derong Liu
+	Fundamental Theory:Specialized Stability and Boundedness Results on Metric Spaces	2007	A.N. Michel Ling Hou Derong Liu
+	Introduction	2007	A.N. Michel Ling Hou Derong Liu
+	Finite-Dimensional Dynamical Systems: Specialized Results	2007	A.N. Michel Ling Hou Derong Liu
+	Converse stability theorems for discontinuous dynamical systems: Improved results	2007	Ling Hou A.N. Michel
+	Normed Spaces and Inner Product Spaces	2007	A.N. Michel Charles J. Herget
+	Vector Spaces and Linear Transformations	2007	A.N. Michel Charles J. Herget
+	Fundamental Concepts	2007	A.N. Michel Charles J. Herget
+	Algebra and Analysis for Engineers and Scientists	2007	A.N. Michel Charles J. Herget
+	Stability analysis for switched systems with continuous-time and discrete-time subsystems	2004	Guisheng Zhai Hai Lin A.N. Michel Kazunori Yasuda
+	Converse theorems of the principal Lyapunov results for partial stability of general dynamical systems on metric spaces	2004	A. P. Molchanov A.N. Michel Yan Sun
+	Stability analysis for switched systems with continuous-time and discrete-time subsystems	2004	G. Zhai Hai Lin A.N. Michel K. Yasuda
+	Partial stability of discontinuous dynamical systems under arbitrary initial z-perturbations	2003	Ye Sun A.N. Michel
+	Partial stability of discontinuous dynamical systems	2003	A.N. Michel A. P. Molchanov Yuangong Sun
+	Stability analysis for a class of nonlinear switched systems	2003	Bo Hu Xuping Xu A.N. Michel Panos J. Antsaklis
+	Simultaneous Pole Placement of Discrete-Time Plants Using a -Periodic Controller	2003	Guisheng Zhai B. Hu Kazunori Yasuda A.N. Michel
+	Stability analysis of switched systems	2002	Ling Hou A.N. Michel Hui Ye
+	Some qualitative properties of sampled-data control systems	2002	Ling Hou A.N. Michel Hui Ye
+	Stability analysis of systems with impulse effects	2002	Huacheng Ye A.N. Michel Linlin Hou
+	A comparison theory for stability analysis of discontinuous dynamical systems. I. Results involving stability preserving mappings	2002	A.N. Michel Bo Hu
+	Common quadratic Lyapunov-like function with associated switching regions for two unstable second-order LTI systems	2002	Bo Hu Guisheng Zhai A.N. Michel
+	Partial Stability and Boundedness of Discontinuous Dynamical Systems	2002	A.N. Michel A. P. Molchanov Yibing Sun
+	Stabilizing a Class of Two-Dimensional Bilinear Systems with Finite-State Hybrid Constant Feedback	2002	Bo Hu Guisheng Zhai A.N. Michel
+	Stability analysis of switched systems with stable and unstable subsystems: an average dwell time approach	2001	Guisheng Zhai Bo Hu Kazunori Yasuda A.N. Michel
+	Stability analysis of switched systems with stable and unstable subsystems: An average dwell time approach	2001	Guisheng Zhai Bo Hu Kazunori Yasuda A.N. Michel
+	Stability analysis of discontinuous dynamical systems using vector Lyapunov functions	2000	A.N. Michel Bo Hu
+	Stability analysis of switched systems with stable and unstable subsystems: an average dwell time approach	2000	Guisheng Zhai Bo Hu Kazunori Yasuda A.N. Michel
+	Moment stability of discontinuous stochastic dynamical systems	2000	Ling Hou A.N. Michel
+	Robust stabilizing control laws for a class of second-order switched systems	1999	Bo Hu Xuping Xu Panos J. Antsaklis A.N. Michel
+	A comparison theory for the stability analysis of general hybrid systems	1999	A.N. Michel Bo Hu
+	Towards a stability theory of general hybrid dynamical systems	1999	A.N. Michel Bo Hu
+	Recent trends in the stability analysis of hybrid dynamical systems	1999	A.N. Michel
+	Robust stabilizing control laws for a class of second-order switched systems	1999	Bo Hu Xuping Xu A.N. Michel Panos J. Antsaklis
+	Stability Analysis of Interconnected Hybrid Dynamical Systems	1998	A.N. Michel Bo Hu
+	Stability analysis of systems with impulse effects	1998	H. Ye A.N. Michel Linlin Hou
+	DYNAMICAL SYSTEMS - PART I : RESULTS INVOLVING	1998	Stability Preserving Mappings A.N. Michel Bo Hu
+	Stability analysis of uncertain systems with saturation constraints	1997	A.N. Michel Ling Hou
+	Modeling and Qualitative Theory for General Hybrid Dynamical and Control Systems	1997	A.N. Michel Ling Hou
+	Qualitative Theory of Dynamical Systems: The Role of Stability Preserving Mappings	1997	A.N. Michel Kaining Wang
+	Stability analysis of a general class of hybrid dynamical systems	1997	Ling Hou A.N. Michel
+	Stability Analysis of Discontinuous Dynamical Systems with Applications	1996	Hui Ye A.N. Michel Ling Hau
+	Correction to "Necessary and Sufficient Conditions for the Hurwitz and Schur Stability of Interval M	1996	Kaining Wang A.N. Michel Derong Liu
+	Qualitative analysis of dynamical systems determined by differential inequalities with applications to robust stability	1994	K. Wang A.N. Michel
+	Stability of viscoelastic control systems	1988	Steven B. Skaar A.N. Michel Richard K. Miller
+	Analysis of transient oscillations in a nonlinear feedback system	1986	Richard K. Miller A.N. Michel
+	On Limit Cycles of Feedback Systems which Contain a Hysteresis Nonlinearity	1986	Richard K. Miller A.N. Michel Gary S. Krenz
+	On limit cycles of feedback systems which contain a hysteresis nonlinearity	1984	Richard K. Miller A.N. Michel Gary S. Krenz
+	Stability Analysis of Limit Cycles in Non Linear Feedback Systems Using Describing Functions: Improved Results	1984	Richard K. Miller A.N. Michel Gary S. Krenz
+	Stability analysis of limit cycles in nonlinear feedback systems using describing functions: Improved results	1984	Richard K. Miller A.N. Michel Gary S. Krenz
+	Power system transient stability analysis: Formulation as nearly Hamiltonian systems	1984	Vijay Vittal A.N. Michel A. A. Fouad
+	On the stability of limit cycles in nonlinear feedback systems: Analysis using describing functions	1983	Richard K. Miller A.N. Michel Gary S. Krenz
+	Power System Transient Stability Analysis: Formulation as Nearly Hamiltonian Systems	1983	Vijay Vittal A.N. Michel A. A. Fouad
+	On the stability of limit cycles in nonlinear feedback systems: Analysis using describing functions	1982	Richard K. Miller A.N. Michel Gary S. Krenz
+	PERIODIC SOLUTIONS OF TWO-DIMENSIONAL SYSTEMS	1982	Richard K. Miller A.N. Michel
+	Stability analysis of complex dynamical systems: Some computational methods	1981	A.N. Michel Narotham Reddy Sarabudla Richard K. Miller
+	On existence and nonexistence of limit cycles in interconnected systems	1981	S. Skar Richard K. Miller A.N. Michel
+	On nonexistence of limit cycles in interconnected systems	1981	S. Skar Richard K. Miller A.N. Michel
+	STABILITY THEORY FOR COUNTABLY INFINITE SYSTEMS	1981	Richard K. Miller A.N. Michel
+	On existence of limit cycles in interconnected systems	1980	S. Skar Richard K. Miller A.N. Michel
+	On the response of nonlinear multivariable interconnected feedback systems to periodic input signals	1980	Richard K. Miller A.N. Michel
+	On Existence of Periodic Motions in Nonlinear Control Systems with Periodic Inputs	1980	Richard K. Miller A.N. Michel
+	PERIODIC SOLUTIONS OF SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS**This research was supported by the National Science Foundation under grant ENG77-28446.	1980	S. Skar Richard K. Miller A.N. Michel
+	Stability of Linear Volterra Integrodifferential Equations of Order <i>n</i>	1979	Richard K. Miller A.N. Michel
+	Lyapunov stability of interconnected systems: Decomposition into strongly connected subsystems	1978	A.N. Michel Richard K. Miller Wang Tang
+	Qualitative Analysis of Interconnected Systems Described on Banach Spaces: Well Posedness, Instability and Lagrange Stability	1978	A.N. Michel Richard K. Miller
+	Qualitative analysis of interconnected dynamical systems with algebraic loops: Well-posedness and stability	1977	William Robert Vitacco A.N. Michel
+	$L_2 $-Stability and -Instability of Large-Scale Systems Described by Integrodifferential Equations	1977	Richard K. Miller A.N. Michel
+	Stability Analysis of Interconnected Systems	1974	A.N. Michel
+	Numerical optimization of distributed parameter systems by the conjugate gradient method	1972	D. E. Cornick A.N. Michel
+	Practical Stability and Finite-Time Stability of Discontinuous Systems	1972	A.N. Michel David W. Porter
+	Comparison theorems for set stability of differential equations	1971	J.A. Heinen A.N. Michel
+	Analysis of discontinuous large-scale systems: stability, transient behaviour and trajectory bounds	1971	A.N. Michel David W. Porter
+	Numerical optimization of distributed parameter systems	1971	A.N. Michel D. E. Cornick
+	On the bounds of the trajectories of differential systems†	1969	A.N. Michel

Common Coauthors

Coauthor	Papers Together
Richard K. Miller	22
Ling Hou	15
Bo Hu	13
Derong Liu	8
Gary S. Krenz	6
Guisheng Zhai	6
Charles J. Herget	5
Kazunori Yasuda	5
S. Skar	5
Panos J. Antsaklis	4
A. P. Molchanov	3
Xuping Xu	3
David W. Porter	2
Hai Lin	2
Linlin Hou	2
Kaining Wang	2
D. E. Cornick	2
A. A. Fouad	2
Vijay Vittal	2
Hui Ye	2
Ling Hou	2
K. Wang	1
B. Hu	1
Narotham Reddy Sarabudla	1
Seenith Sivasundaram	1
Steven B. Skaar	1
Wang Tang	1
Ye Sun	1
G. Zhai	1
J.A. Heinen	1
Yibing Sun	1
Yuangong Sun	1
Yan Sun	1
Bo Hu	1
K. Yasuda	1
H. Ye	1
Ling Hou	1
Hui Ye	1
Guisheng Zhai	1
Huacheng Ye	1
Richard K. Miller	1
William Robert Vitacco	1
Štefan Bálint	1
Stability Preserving Mappings	1
Ling Hau	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Differential and Integral Inequalities	2019	Dorin Andrica Themistocles M. Rassias	9
+	Ordinary Differential Equations	2017	John M. Stewart	9
+ PDF Chat	Stability of switched and hybrid systems	2002	Michael S. Branicky	8
+	Stability Analysis of Discontinuous Dynamical Systems with Applications	1996	Hui Ye A.N. Michel Ling Hau	8
+	Basic problems in stability and design of switched systems	1999	Daniel Liberzon A. Stephen Morse	8
+	Modeling and Qualitative Theory for General Hybrid Dynamical and Control Systems	1997	A.N. Michel Ling Hou	7
+	Differential and Integral Inequalities	1970	Wolfgang Walter	7
+	Stability analysis of a general class of hybrid dynamical systems	1997	Ling Hou A.N. Michel	7
+	Functional Differential Equations	1971	Jack K. Hale	7
+	Stability analysis of systems with impulse effects	2002	Huacheng Ye A.N. Michel Linlin Hou	7
+	Multiple Lyapunov functions and other analysis tools for switched and hybrid systems	1998	Michael S. Branicky	7
+	Towards a stability theory of general hybrid dynamical systems	1999	A.N. Michel Bo Hu	5
+	Linear Differential Equations in Banach Space	2011	S. G. Kreĭn	5
+	Oscillations in nonlinear systems	1963	Jack K. Hale	5
+	Some qualitative properties of sampled-data control systems	2002	Ling Hou A.N. Michel Hui Ye	5
+	Dynamical systems and stability	1969	Jack K. Hale	5
+	On the stability of limit cycles in nonlinear feedback systems: Analysis using describing functions	1983	Richard K. Miller A.N. Michel Gary S. Krenz	5
+	Stabilization of second-order LTI switched systems	2000	Xuping Xu Panos J. Antsaklis	4
+	Über die Invarianz der Stabilität bei einem Phasenraum-Homöomorphismus.	1964	Johannes Thomas	4
+	Perturbation theorems for periodic surfaces I—Definitions and main theorems	1960	Stephen P. Diliberto	4
+	Some Results on the Theory of Physical Systems Governed Nonlinear Functional Equations	1965	Irwin W. Sandberg	4
+	ORDINARY DIFFERENTIAL EQUATIONS	1982	R. L. E. Schwarzenberger	4
+	Recent trends in the stability analysis of hybrid dynamical systems	1999	A.N. Michel	3
+	Ordinary Differential Equations.	1971	Ray Redheffer Jack K. Hale	3
+	Qualitative theory of dynamical systems	2002	Antonio Lorı́a	3
+	Nonlinear Volterra Integral Equations	2015	Richard K. Miller	3
+	Contraction Maps and Equivalent Linearization*	1967	J.M. Holtzman	3
+	Ordinary Differential Equations	1970	Wolfgang Walter	3
+	Algebra and Analysis for Engineers and Scientists	2007	A.N. Michel Charles J. Herget	3
+	Differential Equations: Stability, Oscillations, Time Lags	1967	H. A. Antosiewicz A. Halanay	3
+	Semigroups of Linear Operators and Applications to Partial Differential Equations	1983	A. Pazy	3
+	Stability of Dynamical Systems	2015	A.N. Michel Ling Hou Derong Liu	3
+	On Existence of Periodic Motions in Nonlinear Control Systems with Periodic Inputs	1980	Richard K. Miller A.N. Michel	3
+	Stability analysis of limit cycles in nonlinear feedback systems using describing functions: Improved results	1984	Richard K. Miller A.N. Michel Gary S. Krenz	3
+	Lyapunov stability of interconnected systems: Decomposition into strongly connected subsystems	1978	A.N. Michel Richard K. Miller Wang Tang	3
+	Fourier Transforms in the Complex Domain	1934	N. Wiener R. E. A. C. Paley	2
+	A comparison theory for stability analysis of discontinuous dynamical systems. I. Results involving stability preserving mappings	2002	A.N. Michel Bo Hu	2
+	On the response of nonlinear multivariable interconnected feedback systems to periodic input signals	1980	Richard K. Miller A.N. Michel	2
+	On nonexistence of limit cycles in interconnected systems	1981	S. Skar Richard K. Miller A.N. Michel	2
+	Stability analysis for a class of nonlinear switched systems	2003	Bo Hu Xuping Xu A.N. Michel Panos J. Antsaklis	2
+	Nonlinear Volterra integrodifferential systems with L1-kernels	1973	Stanley I. Grossman Richard K. Miller	2
+ PDF Chat	Periods of periodic solutions and the Lipschitz constant	1969	James A. Yorke	2
+	Theory of Functional Differential Equations	1977	Jack K. Hale	2
+	Stability of switched systems: a Lie-algebraic condition	1999	Daniel Liberzon João P. Hespanha A. Stephen Morse	2
+	Nonlinear Volterra Integral Equations	2011	Abdul‐Majid Wazwaz	2
+	Structure of solutions of unstable linear Volterra integrodifferential equations	1974	Richard K. Miller	2
+	Qualitative Theory of Dynamical Systems: The Role of Stability Preserving Mappings	1997	A.N. Michel Kaining Wang	2
+ PDF Chat	Stability of measure differential equations	1974	S. Leela	2
+ PDF Chat	Zur Theorie der Systeme gewöhnlicher Differentialgleichungen. II.	1932	E. Kamke	2
+	Structure of Resolvents of Volterra Integral and Integro-Differential Systems	1980	G. S. Jordan Robert L. Wheeler	2