Stability of Switched Positive Descriptor Systems with Average Dwell Time Switching

In this paper, the problems of stability for a class of switched positive descriptor systems（SPDSs）with average dwell time（ADT） switching are investigated. First, based on the equivalent switched system and the properties of the projector matrix, sufficient stabilities are given for the underlying systems in both continuoustime and discrete-time contexts. Then, a sufficient stability condition for the SPDS with both stable and unstable subsystems is obtained. The stability results for the SPDSs are represented in terms of a set of linear programmings（LPs） by the multiple linear co-positive Lyapunov function（MLCLF） approach. Finally, three numerical examples are given to illustrate the effectiveness of the obtained theoretical results.