Chinese Quarterly Journal of Mathematics ›› 2007, Vol. 22 ›› Issue (4): 586-591.

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Nonsmooth Control-Lyapunov Function and Stabilization of Nonlinear Switching Systems

  

  1. Department of Mathematics,Zhongyuan Institute of Technology,Zhengzhou 450007,China
  • Received:2005-09-26 Online:2007-12-30 Published:2023-10-23
  • About author: CHEN Jin-huan(1964-), female, native of Lankao, Henan, an associate professor of Zhongyuan Institute of Technology, engages in nonlinear systems.
  • Supported by:
     Supported by the NSF of Commission of Education of Henan Province(200510459002);

Abstract: In this paper we consider general nonlinear switching systems.Under an addi- tional assumption,we prove that there exists a state space depending switching rule which stabilizes the system in a very general sense.

Key words: stabilization, switched systems, nonlinear systems, krasowski solutions, control Lyapunov function

CLC Number: