Title :
Uniform asymptotic stability of hybrid dynamical systems with delay
Author :
Yuan, Rong ; Jing, Zhujun ; Chen, Luonan
Author_Institution :
Dept. of Math., Beijing Normal Univ., China
Abstract :
We formulate a model for hybrid dynamical systems with delay, which covers a large class of delay systems. Under several mild assumptions, we establish sufficient conditions for uniform asymptotic stability of hybrid dynamical systems with delay via a Lyapunov-Razumikhin technique. To demonstrate the developed theory, we conduct stability analyses for delay sampled-data feedback control systems including a nonlinear continuous-time plant and a linear discrete-time controller.
Keywords :
Lyapunov methods; asymptotic stability; continuous time systems; delay systems; discrete time systems; feedback; nonlinear control systems; sampled data systems; Lyapunov-Razumikhin technique; delay systems; hybrid dynamical systems; linear discrete-time controller; nonlinear continuous-time plant; sampled-data feedback control systems; stability analyses; sufficient conditions; uniform asymptotic stability; Asymptotic stability; Delay effects; Delay systems; Feedback control; Linear feedback control systems; Lyapunov method; Mathematics; Stability analysis; State-space methods; Sufficient conditions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2002.808488
