LMI Stability Criterion for Uncertain Systems with Multiple Time Delays

Abstract

Robust asymptotic stability for a class of uncertain systems with multiple time delays is considered. Lyapunov theory and linear matrix inequality (LMI) approach are applied to solve the stability problem for such systems. New delay dependent criterion is derived to guarantee stability for the systems. Some numerical examples are given to demonstrate that our robust stability condition is less conservative than those reported in the recent literature.