Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay

الملخص EN

This paper deals with the problem of delay-dependent stability criterion of arbitrary switched linear systems with time-varying delay.

Based on switched quadratic Lyapunov functional approach and free-weighting matrix approach, some linear matrix inequality criterions are found to guarantee delay-dependent asymptotically stability of these systems.

Simultaneously, arbitrary switched linear system can be expressed as a problem of uncertain liner system, so some delay-dependent stability criterions are obtained with the result of uncertain liner system.

Two examples illustrate the exactness of the proposed criterions.