Asymptotic Stability of Nonlinear Control Systems Described by Difference Equations with Multiple Delays
Date
2000-02-01
Authors
Niamsup, Piyapong
Phat, Vu Ngoc
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Stability, Difference equations, Nonlinear control systems, Gronwall inequality, Holder condition, Multiple delay
Citation
Niamsup, P., & Phat, V. N. (2000). Asymptotic stability of nonlinear control systems described by difference equations with multiple delays. <i>Electronic Journal of Differential Equations, 2000</i>(11), pp. 1-17.
Rights
Attribution 4.0 International