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Semiglobal finite‐time synchronization of complex networks with stochastic disturbance via intermittent control
Author(s) -
Jiang Wenlin,
Li Liangliang,
Tu Zhengwen,
Feng Yuming
Publication year - 2019
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4496
Subject(s) - synchronization (alternating current) , control theory (sociology) , controller (irrigation) , computer science , simple (philosophy) , regular polygon , control (management) , disturbance (geology) , operator (biology) , mathematical optimization , mathematics , computer network , paleontology , channel (broadcasting) , philosophy , geometry , epistemology , artificial intelligence , agronomy , biology , biochemistry , chemistry , repressor , transcription factor , gene
Summary This paper focuses on the problem of semiglobal finite‐time synchronization of stochastic complex networks via an intermittent control strategy. By establishing a finite‐time criterion condition and a novel finite‐time ℒ ‐operator differential inequality, combined with convex techniques, some sufficient conditions are obtained to ensure finite‐time synchronization for stochastic complex networks with time delays. An effective controller is given to guarantee inner finite‐time synchronization, especially for a nondelayed dynamic system. This paper provides a simple controller. Finally, a numerical simulation is given to demonstrate the effectiveness of our results.