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.
XIA Biao (夏彪), LIAN Jie* (连捷), YUAN Xue-hai (袁学海)
. Stability of Switched Positive Descriptor Systems with Average Dwell Time Switching[J]. Journal of Shanghai Jiaotong University(Science), 2015
, 20(2)
: 177
-184
.
DOI: 10.1007/s12204-015-1607-x
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