ROBUST STABILITY OF A CLASS OF UNCERTAIN NONLINEAR DYNAMICAL-SYSTEMS WITH TIME-VARYING DELAY

We consider the problem of robust stability of a class of uncertain no nlinear dynamical systems with time-varying delay. Based on the assump tion that the nominal system (i.e. the system in the absence of uncert ainty and delay) is stable, we derive some sufficient conditions on ro bust stability of uncertain nonlinear dynamical systems with time-vary ing delay. Some analytical methods and the Bellman-Gronwall inequality are used to investigate such sufficient conditions. The notable featu res of the results obtained in this paper are their simplicity in test ing the stability of uncertain dynamical systems with delay and their clarity in giving an insight into system analysis. Our results are als o applicable to perturbed time-delay dynamical systems without exact k nowledge of the delay. In addition, a numerical example is given to de monstrate the validity of our results.