The sliding mode control method is used to study spatiotemporal chaos synchronization of an uncertain network. The method is extended from synchronization between two chaotic systems to the synchronization of complex network composed of N spatiotemporal chaotic systems. The sliding surface of the network and the control input are designed. Furthermore, the effectiveness of the method is analysed based on the stability theory. The Burgers equation with spatiotemporal chaos behavior is taken as an example to simulate the experiment. It is found that the synchronization performance of the network is very stable.
机构:
Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R ChinaShanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
Liu Shuang
Chen Li-Qun
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Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
Shanghai Univ, Dept Mech, Shanghai 200444, Peoples R China
Shanghai Univ, Shanghai Key Lab Mech Energy Engn, Shanghai 200072, Peoples R ChinaShanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
机构:
Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University
Department of Mechanics,Shanghai University
Shanghai Key Laboratory of Mechanics in Energy Engineering,Shanghai UniversityShanghai Institute of Applied Mathematics and Mechanics,Shanghai University
机构:
Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R ChinaShanghai Univ, Dept Mech, Shanghai 200444, Peoples R China
Chai, Yuan
Chen, Li-Qun
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机构:
Shanghai Univ, Dept Mech, Shanghai 200444, Peoples R China
Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
Shanghai Univ, Shanghai Key Lab Mech Energy Engn, Shanghai 200072, Peoples R ChinaShanghai Univ, Dept Mech, Shanghai 200444, Peoples R China