Electronic Journal of Differential Equations,
Vol. 2000(2000), No. 11, pp. 1-17.

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

Authors: P. Niamsup (Chiangmai National Univ., Thailand)
         V. N. Phat (National Center for Sciences and Tech., Hanoi, Vietnam)

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.


Submitted October 19, 1999. Published February 1, 2000.
Math Subject Classifications: 93D20, 34K20, 49M70.
Key Words: Stability; difference equations; nonlinear control systems;
           Gronwall inequality; Holder condition; multiple delay.