TY - GEN
T1 - Stability of switched linear discrete-time descriptor systems
T2 - 2011 American Control Conference, ACC 2011
AU - Zhai, Guisheng
AU - Xu, Xuping
AU - Ho, Daniel W.C.
PY - 2011/9/29
Y1 - 2011/9/29
N2 - In this paper, we study stability of switched linear discrete-time descriptor systems. Under the assumption that all subsystems are stable and there is no impulse occurring at the switching instants, we establish a new pairwise commutation condition under which the switched system is stable. We also show that when the proposed commutation condition holds, there exists a common quadratic Lyapunov function (CQLF) for the subsystems. These results are natural and important extensions to the existing results for switched systems in the state space representation.
AB - In this paper, we study stability of switched linear discrete-time descriptor systems. Under the assumption that all subsystems are stable and there is no impulse occurring at the switching instants, we establish a new pairwise commutation condition under which the switched system is stable. We also show that when the proposed commutation condition holds, there exists a common quadratic Lyapunov function (CQLF) for the subsystems. These results are natural and important extensions to the existing results for switched systems in the state space representation.
KW - Switched linear discrete-time descriptor systems
KW - common quadratic Lyapunov functions (CQLFs)
KW - impulse-free arbitrary switching
KW - matrix inequalities
KW - pairwise commutation
KW - stability
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M3 - Conference contribution
AN - SCOPUS:80053138021
SN - 9781457700804
T3 - Proceedings of the American Control Conference
SP - 2613
EP - 2618
BT - Proceedings of the 2011 American Control Conference, ACC 2011
Y2 - 29 June 2011 through 1 July 2011
ER -