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IMA Journal of Mathematical Control and Information 1999 16(3):261-274; doi:10.1093/imamci/16.3.261
© 1999 by Institute of Mathematics and its Applications
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Lyapunov stability of discontinuous dynamic systems

Z. LI and C. B. SOH{dagger}

{dagger}School of Electrical and Electronic Engineering, Nanyang Technological University Nanyang Avenue, Singapore 639798

This paper derives necessary and sufficient conditions for the stability of dynamic systems in the sense of Lyapunov. These conditions are used to study the stability of discontinuous dynamic systems, which include fuzzy systems, hybrid systems, and impulsive differentia! systems.

Keywords: Keywords: Discontinuous dynamic systems;; stability;; Lyapunov.


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