Absolute Stability for a Class of Switched Delay System with Stable and Unstable Subsystems

The problem of absolute exponential stability of a class of switched delay system with stable and unstable subsystems is studied. Consideration is given to two cases of time-varying delays, one being continuous and uniformly bounded and the other being differential and the derivative of the delay bounded. A less conservative Lypunov function with the integral of state differential and a switching law are designed to obtain some new delay-dependent criteria in LMIs. Besides, an example is given to show the effectiveness of the proposed results.