ROBUST STABILIZATION OF UNCERTAIN LINEAR DYNAMICAL-SYSTEMS WITH TIME-VARYING DELAY

In this paper, the problem of the robust stabilization for a class of uncertain linear dynamical systems with time-varying delay is consider ed. By making use of an algebraic Riccati equation, we derive some suf ficient conditions for robust stability of time-varying delay dynamica l systems with unstructured or structured uncertainties, In our approa ch, the only restriction on the delay function h(t) is the knowledge o f its upper bound Fi. Some analytical methods are employed to investig ate these stability conditions. Since these conditions are independent of the delay, our results are also applicable to systems with perturb ed time delay. Finally, a numerical example is given to illustrate the use of the sufficient conditions developed in this paper.