A New Result on the Robust Stability of Uncertain Systems with Time-Varying Delay

A stability criterion for uncertain systems with time-varying delay is derived via the Lyapunov functional approach. By checking the Hamiltonian matrix and solving an algebraic Riccati equation, a new bound on allowable stability preserving nonlinear perturbations is presented. The result obtained here is shown to be less conservative than others reported in the literature. Index Terms--Robust stability, time-delay systems, uncertain systems.