Asymptotic stability of nonlinear control systems described by difference equations with multiple delays

Asymptotic stability of nonlinear control systems described by difference equations with multiple delays

In this paper we study nonlinear control systems with multiple delays on controls and states. To obtain asymptotic stability, we impose Holder-type assumptions on the perturbing function, and show a Gronwall-type inequality for difference equations with delay. We prove that a nonlinear control syste...

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Bibliographic Details
Main Authors: P. Niamsup, Vu Ngoc Phat
Format: Article
Language:English
Published: Texas State University 2000-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Stability
difference equations
nonlinear control systems
Gronwall inequality
Holder condition
multiple delay.
Online Access:http://ejde.math.txstate.edu/Volumes/2000/11/abstr.html
Description
Summary:In this paper we study nonlinear control systems with multiple delays on controls and states. To obtain asymptotic stability, we impose Holder-type assumptions on the perturbing function, and show a Gronwall-type inequality for difference equations with delay. We prove that a nonlinear control system can be stabilized if its linear control system can be stabilized. Some examples are included in the last part of this paper.
ISSN:1072-6691

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