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Finite-time and fixed-time synchronization of discontinuous complex networks: A unified control framework design.

Authors :
Ji, Gaojian
Hu, Cheng
Yu, Juan
Jiang, Haijun
Source :
Journal of the Franklin Institute. Jul2018, Vol. 355 Issue 11, p4665-4685. 21p.
Publication Year :
2018

Abstract

This paper is concerned with the finite-time and fixed-time synchronization of complex networks with discontinuous nodes dynamics. Firstly, under the framework of Filippov solution, a new theorem of finite-time and fixed-time stability is established for nonlinear systems with discontinuous right-hand sides by using mainly reduction to absurdity. Furthermore, for a class of discontinuous complex networks, a general control law is firstly designed. Under the unified control framework and the same conditions, the considered networks are ensured to achieve finite-time or fixed-time synchronization by only adjusting the value of a key control parameter. Based on the similar discussion, a unified control strategy is also provided to realize respectively asymptotical, exponential and finite-time synchronization of the addressed networks. Finally, the derived theoretical results are supported by an example with numerical simulations. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00160032
Volume :
355
Issue :
11
Database :
Academic Search Index
Journal :
Journal of the Franklin Institute
Publication Type :
Periodical
Accession number :
130951947
Full Text :
https://doi.org/10.1016/j.jfranklin.2018.04.026