Synchronization of uncertain hybrid switching and impulsive complex networks

This paper considers the asymptotic synchronization problem for a class of uncertain complex networks (CNs) with hybrid switching and impulsive effects. The switches and impulses occur by following a time sequence which is characterized by dwell-time constraint. By designing Lyapunov function with t...

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Bibliographic Details
Published in:Applied Mathematical Modelling Vol. 59; p. 379
Main Authors: Yang, Xinsong, Lu, Jianquan, Ho, Daniel WC, Song, Qiang
Format: Journal Article
Language:English
Published: New York Elsevier BV 01.07.2018
Subjects:
Algorithms
Complexity theory
Computational physics
Dwell time
Impulses
Impulsivity
Liapunov functions
Linear matrix inequalities
Mathematical models
Matrix methods
Switches
Switching theory
Time synchronization
ISSN:1088-8691, 0307-904X
Online Access:Get full text
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Summary:This paper considers the asymptotic synchronization problem for a class of uncertain complex networks (CNs) with hybrid switching and impulsive effects. The switches and impulses occur by following a time sequence which is characterized by dwell-time constraint. By designing Lyapunov function with time-varying matrix parameter, two general synchronization criteria formulated by matrix inequalities are first given, which unify synchronizing and desynchronizing impulses. Then specific conditions in terms of linear matrix inequalities (LMIs) are given by partitioning the dwell time and using convex combination technique. Compared with those criteria which are only applicable to pure synchronizing impulses or pure desynchronizing impulses, our results are more practical. It is shown that the switched impulsive CNs (SICNs) can be synchronized by desynchronizing impulses even though CNs without impulse are unsynchronized. Numerical examples are given to show the effectiveness of our new results.
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ISSN:1088-8691
0307-904X
DOI:10.1016/j.apm.2018.01.046