Robust stability of uncertain time-varying state-delayed systems

Abstract

Robust stability for uncertain systems with time-varying delay is investigated. An improved linear matrix inequality-based robust delay-dependent stability test is introduced to ensure a larger upper bound for time-varying delays affecting the state vector of an uncertain continuous-time system with norm-bounded type uncertainties. A new class of Lyapunov-Krasovskii functionals combined with the descriptor model transformation is constructed to derive some delay-dependent stability criteria. The proposed method gives sufficient conditions for the robust stability of the system with time-varying delay under norm-bounded uncertainty. Numerical examples indicate that the proposed stability criteria effectively improve the existing results.