TY - GEN
T1 - Qualitative analysis for a class of switched systems
AU - Zhai, Guisheng
AU - Yasuda, Kazunori
PY - 2000/12/1
Y1 - 2000/12/1
N2 - In this paper, we study several qualitative properties for a class of switched systems composed of several subsystems, where each subsystem's vector field is composed of a linear time-invariant part and a nonlinear norm-bounded perturbation part. It is assumed that the linear subsystem matrices are commutative pairwise, and there exists a linear convex stable combination of unstable linear subsystem matrices. First, in the case of no perturbations, we propose a switching law under which the entire switched system is globally exponentially stable. In the switching law, Hurwitz stable sub-systems (if exist) are activated arbitrarily while unstable ones are activated in sequence with their duration time periods satisfying a specified ratio. Secondly, under the same switching law, we analyze qualitative property of the switched system in the case where nonlinear norm-bounded perturbations exist. Some numerical examples are given in the paper to demonstrate the results.
AB - In this paper, we study several qualitative properties for a class of switched systems composed of several subsystems, where each subsystem's vector field is composed of a linear time-invariant part and a nonlinear norm-bounded perturbation part. It is assumed that the linear subsystem matrices are commutative pairwise, and there exists a linear convex stable combination of unstable linear subsystem matrices. First, in the case of no perturbations, we propose a switching law under which the entire switched system is globally exponentially stable. In the switching law, Hurwitz stable sub-systems (if exist) are activated arbitrarily while unstable ones are activated in sequence with their duration time periods satisfying a specified ratio. Secondly, under the same switching law, we analyze qualitative property of the switched system in the case where nonlinear norm-bounded perturbations exist. Some numerical examples are given in the paper to demonstrate the results.
KW - Commutative pairwise
KW - Exponential stability
KW - Nonlinear perturbations
KW - Switched system
KW - Switching law
UR - http://www.scopus.com/inward/record.url?scp=0034590285&partnerID=8YFLogxK
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M3 - Conference contribution
AN - SCOPUS:0034590285
SN - 7801346955
T3 - Proceedings of the 4th Asia-Pacific Conference on Control and Measurement
SP - 139
EP - 144
BT - Proceedings of the 4th Asia-Pacific Conference on Control and Measurement
A2 - Chunlin, S.
A2 - Chunlin, S.
T2 - Proceedings of the 4th Asia-Pacific Conference on Control and Measurement
Y2 - 9 July 2000 through 12 July 2000
ER -