TY - JOUR
T1 - A limit inferior Φ-dependent average dwell time approach for stability analysis of switched systems
AU - Yu, Qiang
AU - Zhai, Guisheng
N1 - Funding Information:
This work is supported partially by the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (2017149).
Publisher Copyright:
© 2020 John Wiley & Sons Ltd
PY - 2021/1/25
Y1 - 2021/1/25
N2 - A novel concept of limit inferior (Formula presented.) -dependent average dwell time (L (Formula presented.) DADT) is first proposed, which is a generalization of various existing concepts of dwell time. Based on the L (Formula presented.) DADT scheme and the multiple Lyapunov function approach, some new sufficient conditions for stability and stabilization of switched systems are established by introducing some inequalities. Those criteria acquired contain most of the established ones based on ADT, limiting ADT, mode-dependent ADT, (Formula presented.) -dependent ADT, etc. Specifically, the stability and stabilization criteria for switched linear systems are listed as linear matrix inequalities that can be examined and calculated easily by the LMI toolbox in Matlab. At last, three typical numerical examples are presented for illustrating the effectiveness and validity of the L (Formula presented.) DADT scheme presented in this paper.
AB - A novel concept of limit inferior (Formula presented.) -dependent average dwell time (L (Formula presented.) DADT) is first proposed, which is a generalization of various existing concepts of dwell time. Based on the L (Formula presented.) DADT scheme and the multiple Lyapunov function approach, some new sufficient conditions for stability and stabilization of switched systems are established by introducing some inequalities. Those criteria acquired contain most of the established ones based on ADT, limiting ADT, mode-dependent ADT, (Formula presented.) -dependent ADT, etc. Specifically, the stability and stabilization criteria for switched linear systems are listed as linear matrix inequalities that can be examined and calculated easily by the LMI toolbox in Matlab. At last, three typical numerical examples are presented for illustrating the effectiveness and validity of the L (Formula presented.) DADT scheme presented in this paper.
KW - average dwell time
KW - multiple Lyapunov functions
KW - stability and stabilization
KW - switched systems
KW - Φ-dependent average dwell time
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U2 - 10.1002/rnc.5291
DO - 10.1002/rnc.5291
M3 - Article
AN - SCOPUS:85093679697
SN - 1049-8923
VL - 31
SP - 565
EP - 581
JO - International Journal of Robust and Nonlinear Control
JF - International Journal of Robust and Nonlinear Control
IS - 2
ER -