Stability of Uncertain Linear Systems with Multiple Time-Delays

A stability robustness criterionwas derived for uncertain linear systemswithmultiple time-delays by constructing a quadratic Lyapunov functional with an integral term. The robust stability bounds obtained are not necessarily symmetric to the origin in the parameter space, and can significantly enlarge the stability region for the uncertain parameters. A numerical example was given to demonstrate the results obtained and compare themwith those available in the current literatures