A STABILITY-CRITERION FOR DISCRETE NONLINEAR-SYSTEMS WITH TIME-DELAYED FEEDBACK

Citation
Xs. Yang et Y. Stepanenko, A STABILITY-CRITERION FOR DISCRETE NONLINEAR-SYSTEMS WITH TIME-DELAYED FEEDBACK, IEEE transactions on automatic control, 39(3), 1994, pp. 585-589
Citations number
5
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
ISSN journal
00189286
Volume
39
Issue
3
Year of publication
1994
Pages
585 - 589
Database
ISI
SICI code
0018-9286(1994)39:3<585:ASFDNW>2.0.ZU;2-H
Abstract
A new criterion on the non-Lyapunov method of stability analysis is de veloped for a large class of discrete time nonlinear systems. The amen able class is broad and includes systems mainly encountered in practic e, for example, all plants described by functions of Lipschitz class, linear, bilinear, and polynomial functions, etc. Unlike other publicat ions on the stability of discrete nonlinear systems, we consider the o utput feedback with time delays, and the control law from a broader cl ass of functions. The derived sufficient criterion is simple and easil y applicable.