By extending the Lyapunov equation A∗Q+QA=−P to an arbitrary infinite-dimensional Banach space, we give stability conditions for a class of linear differential systems. Rela-tionship between stabilizability and exact null-controllability is established. The result is applied to obtain new sufficient conditions for the stabilizability of a class of nonlinear control systems in Banach spaces. 2000 Mathematics Subject Classification: 93D20, 34K20, 93B05. 1. Introduction. Conside
By means of examples, we study stability of infinite-dimensional linear and nonlinear systems. First...
The second edition of this textbook provides a single source for the analysis of system models repre...
Abstract. The necessary and sufficient conditions for accurate construction of a Lyapunov function a...
By extending the Lyapunov equation A∗Q+QA=−P to an arbitrary infinite-dimensional Banach space, we g...
By extending the Lyapunov equation A*Q+QA=−P to an arbitrary infinite-dimensional Banach space, we g...
This paper investigates the notion of practical feedback stabilization of evolution equations satisf...
This paper investigates the notion of practical feedback stabilization of evolution equations satisf...
The Lyapunov stability theory for nonlinear time-varying dynamic system in Banach space is given in ...
International audienceThis article deals with the stability analysis and the derivation of ISS-Lyapu...
International audienceThis paper concerns the relation between exact controllability and stabilizabi...
For finite-dimensional nonlinear control systems we study the relation between asymptotic null-contr...
Abstract. For finite dimensional nonlinear control systems we study the relation between asymptotic ...
The notion of stability allows to study the qualitative behavior of dynamical systems. In particular...
AbstractIt is given a simple and unified new proof for the following well-known stability condition:...
A new method of designing a robust control law is proposed for a general class of non-linear or line...
By means of examples, we study stability of infinite-dimensional linear and nonlinear systems. First...
The second edition of this textbook provides a single source for the analysis of system models repre...
Abstract. The necessary and sufficient conditions for accurate construction of a Lyapunov function a...
By extending the Lyapunov equation A∗Q+QA=−P to an arbitrary infinite-dimensional Banach space, we g...
By extending the Lyapunov equation A*Q+QA=−P to an arbitrary infinite-dimensional Banach space, we g...
This paper investigates the notion of practical feedback stabilization of evolution equations satisf...
This paper investigates the notion of practical feedback stabilization of evolution equations satisf...
The Lyapunov stability theory for nonlinear time-varying dynamic system in Banach space is given in ...
International audienceThis article deals with the stability analysis and the derivation of ISS-Lyapu...
International audienceThis paper concerns the relation between exact controllability and stabilizabi...
For finite-dimensional nonlinear control systems we study the relation between asymptotic null-contr...
Abstract. For finite dimensional nonlinear control systems we study the relation between asymptotic ...
The notion of stability allows to study the qualitative behavior of dynamical systems. In particular...
AbstractIt is given a simple and unified new proof for the following well-known stability condition:...
A new method of designing a robust control law is proposed for a general class of non-linear or line...
By means of examples, we study stability of infinite-dimensional linear and nonlinear systems. First...
The second edition of this textbook provides a single source for the analysis of system models repre...
Abstract. The necessary and sufficient conditions for accurate construction of a Lyapunov function a...