A quadratic stability solution for switched singular linear systems

Quadratic stability for a class of switched singular linear systems is investigated. The convex combination technique of standard switched linear systems is extended to switched singular systems and a sufficient condition for quadratic stability derived. A stabilizing switching law is also designed. For a switched singular system with two subsystems this appears a necessary and sufficient condition for quadratic stability. Also, the switching law realization is discussed relative to avoiding zeno behavior. An illustrative example is given to demonstrate the validity of these new results.