IMPULSIVE SYNCHRONIZATION OF TIME-VARYING DYNAMICAL NETWORK | Zendy

Zhaoyan Wu | Zendy; Xiaoli Gong | Zendy

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IMPULSIVE SYNCHRONIZATION OF TIME-VARYING DYNAMICAL NETWORK

Author(s) -

Zhaoyan Wu,

Xiaoli Gong

Publication year - 2016

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2016008

Subject(s) - control theory (sociology) , synchronization (alternating current) , lyapunov function , mathematics , adaptive control , lyapunov stability , impulse (physics) , computer science , control (management) , topology (electrical circuits) , nonlinear system , physics , combinatorics , artificial intelligence , quantum mechanics

Synchronization of time-varying dynamical network is investigated via impulsive control. Based on the Lyapunov function method and stabili- ty theory of impulsive differential equation, a synchronization criterion with respect to the system parameters and the impulsive gains and intervals is an- alytically derived. Further, an adaptive strategy is introduced for designing unified impulsive controllers, with a corresponding synchronization criterion derived. In this proposed adaptive control scheme, the impulsive instants ad- just themselves to the needed values as time goes on, and an algorithm for determining the impulsive instants is provided and evaluated. The derived theoretical results are illustrated to be effective by several numerical exam- ples.

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