Title :
A stability criterion for discrete nonlinear systems with time delayed feedback
Author :
Yang, Xueshan ; Stepanenko, Yury
Author_Institution :
Dept. of Mech. Eng., Victoria Univ., BC, Canada
fDate :
3/1/1994 12:00:00 AM
Abstract :
A new criterion on the non-Lyapunov method of stability analysis is developed for a large class of discrete time nonlinear systems. The amenable class is broad and includes systems mainly encountered in practice, for example, all plants described by functions of Lipschitz class, linear, bilinear, and polynomial functions, etc. Unlike other publications on the stability of discrete nonlinear systems, the authors consider the output feedback with time delays, and the control law from a broader class of functions. The derived sufficient criterion is simple and easily applicable
Keywords :
discrete time systems; feedback; nonlinear control systems; stability; Lipschitz class functions; bilinear functions; control law; discrete time nonlinear systems; linear functions; non-Lyapunov method; output feedback; polynomial functions; stability criterion; time delayed feedback; Circuit stability; Delay effects; Delay systems; Eigenvalues and eigenfunctions; Feedback; Nonlinear systems; Polynomials; Stability analysis; Stability criteria; Symmetric matrices;
Journal_Title :
Automatic Control, IEEE Transactions on
