On the stability of nonlinear systems with leakage delay |
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| Authors: | Chuandong Li |
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| Institution: | a School of Computer, Hangzhou Dianzi University, Hangzhou 310018, China
b Texas A&M University at Qatar, Doha, P.O. Box 23874, Qatar |
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| Abstract: | This paper studies uniqueness and stability of the equilibrium points of nonlinear time-delay systems with leakage delay by using the appropriate model transformation that shifts the considered systems into the neutral-type time-delay systems. Delay-independent sufficient conditions for uniqueness and delay-dependent sufficient conditions for stability are derived, respectively, by using contraction mapping theorem and suitable degenerate Lyapuniv-Krasvovskii functional together with some differential inequalities and LMI technique. |
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| Keywords: | Nonlinear delay differential equation Leakage delay Asymptotical stability Exponential stability |
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