Integral partitioning approach to robust stabilization for uncertain distributed time-delay systems

Abstract

In this paper, the problems of robust delay-dependent stability analysis and stabilization are investigated for distributed delay systems with linear fractional uncertainties. By introducing an integral partitioning technique, a new form of Lyapunov functional is constructed and improved distributed delay-dependent stability conditions are established in terms of linear matrix inequalities. Based on the criterion, a design algorithm for a state-feedback controller is proposed. Following similar lines, we extend these results to uncertain distributed delay systems. The results developed in this paper can tolerate larger allowable delay than existing ones in the literature, which is illustrated by several examples. © 2011 John Wiley & Sons, Ltd.