NEW SUFFICIENT CONDITIONS FOR ROBUST STABILITY OF DISCRETE-TIME SYSTEMS SUBJECT TO BOUNDED RATE PARAMETERS

摘要

In this paper we consider a linear, discrete-time system whose dynamic matrix depends multiaffinely on uncertain, real, time-varying parameters; a bound on the rate of variation of such parameters is assumed to be known. By using parameterdependent, piecewise constant Lyapunov functions, we can take into account the rate of variation of the parameters and obtain sufficient conditions for stability which are less restrictive than those imposed by the classical parameter independent Lyapunov functions used in the quadratic stability theory.