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Finite-time synchronization of complex networks with non-identical nodes and impulsive disturbances

Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Beibei, Chongqing 400715, China

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Chuandong Li

http://orcid.org/0000-0002-5114-1212

Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Beibei, Chongqing 400715, China

E-mail Address: licdswu@163.com

Corresponding author.

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Xing He

Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Beibei, Chongqing 400715, China

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, and

Hongfei Li

Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Beibei, Chongqing 400715, China

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https://doi.org/10.1142/S0217984918500021Cited by:25 (Source: Crossref)

Abstract

This paper investigates the finite-time synchronization of complex networks (CNs) with non-identical nodes and impulsive disturbances. By utilizing stability theories, new 1-norm-based analytical techniques and suitable comparison, systems, several sufficient conditions are obtained to realize the synchronization goal in finite time. State feedback controllers with and without the sign function are designed. Results show that the controllers with sign function can reduce the conservativeness of control gains and the controllers without sign function can overcome the chattering phenomenon. Numerical simulations are offered to verify the effectiveness of the theoretical analysis.

Keywords:

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