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Exponential stability of time-controlled switching systems with time delay
Authors:Chuandong Li  Tingwen Huang  Gang Feng  Guanrong Chen
Affiliation:1. Department of Applied Mechanics, Budapest University of Technology and Economics, Budapest H-1111, Hungary;7. Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109, USA
Abstract:This paper studies the exponential stability of the nonlinear time-controlled switching systems with delay. Two Lyapunov-type stability theorems for such systems with and without state jumps at switching instants are developed, and the corresponding exponential convergence rates are estimated. Numerical examples are given to show the validity of theoretical results.
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