Uniform asymptotic stability of hybrid dynamical systems with delay |
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Authors: | Rong Yuan Zhujun Jing Luonan Chen |
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Affiliation: | Dept. of Math., Beijing Normal Univ., China; |
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Abstract: | We formulate a model for hybrid dynamical systems with delay, which covers a large class of delay systems. Under several mild assumptions, we establish sufficient conditions for uniform asymptotic stability of hybrid dynamical systems with delay via a Lyapunov-Razumikhin technique. To demonstrate the developed theory, we conduct stability analyses for delay sampled-data feedback control systems including a nonlinear continuous-time plant and a linear discrete-time controller. |
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