Impulsive Exponential Stabilization of Functional Differential Systems with Infinite Delay | Zendy

Xiaoli Sun | Zendy; Xiaodi Li | Zendy

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Impulsive Exponential Stabilization of Functional Differential Systems with Infinite Delay

Author(s) -

Xiaoli Sun,

Xiaodi Li

Publication year - 2009

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2009/289480

Subject(s) - exponential function , exponential stability , lyapunov function , control theory (sociology) , mathematics , differential (mechanical device) , exponential growth , differential equation , computer science , mathematical analysis , physics , nonlinear system , control (management) , artificial intelligence , quantum mechanics , thermodynamics

By using the Razumikhin technique and Lyapunov functions, we investigated the impulsive exponential stabilization of functional differential systems with infinite delay. A new result on the exponential stabilization by impulses is gained. Our result shows that impulses can make unstable systems stable. A numerical example is given to illustrate the feasibility of the result

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