Robust stability and robust Stabilization for Uncertain Singular Linear Systems with Time-Varying Delays

摘要

This paper considers the robust stability and robust stabilization for uncertain singular linear systems with time-varying delay. The uncertainties are assumed to be of norm bounded type. A delay-dependent stability criterion is given to ensure the nominal system is admissible. Prom the criterion, the robust stabilization problem is solved by state feedback controller which guarantees that the resulting closed-loop system is admissible, and a delaydependent robust stabilization criterion and a delayindependent stabilization criterion are respectively investigated. Some numerical examples are provided to illustrate the effectiveness of the proposed method.