Weak Converse Lyapunov Theorems and Control-Lyapunov Functions
From MaRDI portal
Publication:4652504
DOI10.1137/S0363012901398186zbMath1151.34307MaRDI QIDQ4652504
Christopher M. Kellett, Andrew R. Teel
Publication date: 28 February 2005
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
differential inclusionsconverse Lyapunov theoremasymptotic controllabilitycontrol-Lyapunov functionweak set stability
Controllability (93B05) Stabilization of systems by feedback (93D15) Sampled-data control/observation systems (93C57) Ordinary differential inclusions (34A60) Stability of solutions to ordinary differential equations (34D20)
Related Items
Stabilization by means of time-varying hybrid feedback, Sampled-data extremum-seeking framework for constrained optimization of nonlinear dynamical systems, Solutions to hybrid inclusions via set and graphical convergence with stability theory applications, Global stabilization for systems evolving on manifolds, On Feedback Stabilization of Linear Switched Systems via Switching Signal Control, A compendium of comparison function results, Uniform exponential stability criteria with verification for nonautonomous switched nonlinear systems with uncertainty, Geometric control theory and linear switched systems, Discrete-time asymptotic controllability implies smooth control-Lyapunov function, Links between asymptotic controllability and persistence of excitation for a class of time-varying systems, Sufficient conditions for robustness of \({\mathcal{KL}}\)-stability for difference inclusions, Converse Lyapunov theorems for control systems with unbounded controls, Necessary and sufficient conditions for robust global asymptotic stabilization of discrete-time systems, Sampled-data feedback practical semi-global controllability and stabilization for time-varying systems, Stability in part of the variables of ``partial equilibria of systems with aftereffect, Classical converse theorems in Lyapunov's second method
