Outer synchronization of uncertain small-world networks via adaptive sliding mode control

doi:10.1007/s10483-015-1911-6

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (3): 319-328.doi: https://doi.org/10.1007/s10483-015-1911-6

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Outer synchronization of uncertain small-world networks via adaptive sliding mode control

Shuang LIU¹, Liqun CHEN^1,2,3

1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
2. Department of Mechanics, Shanghai University, Shanghai 200444, China;
3. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China

Received:2013-12-01 Revised:2014-07-16 Online:2015-03-01 Published:2015-03-01
Contact: Liqun CHEN E-mail:lqchen@staff.shu.edu.cn
Supported by:
Project supported by the State Key Program of the National Natural Science Foundation of China (No. 11232009) and the Shanghai Leading Academic Discipline Project (No. S30106)

Abstract

Abstract: The outer synchronization of irregular coupled complex networks is investigated with nonidentical topological structures. The switching gain is estimated by an adaptive technique, and a sliding mode controller is designed to satisfy the sliding condition. The outer synchronization between two irregular coupled complex networks with different initial conditions is implemented via the designed controllers with the corresponding parameter update laws. The chaos synchronization of two small-world networks consisting of N uncertain identical Lorenz systems is achieved to demonstrate the applications of the proposed approach.

Key words: adaptive synchronization, sliding mode control, smallworld network, Lyapunov stability

2010 MSC Number:

O415.5

Shuang LIU;Liqun CHEN. Outer synchronization of uncertain small-world networks via adaptive sliding mode control. Applied Mathematics and Mechanics (English Edition), 2015, 36(3): 319-328.

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Outer synchronization of uncertain small-world networks via adaptive sliding mode control

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