Finite‐time synchronisation control of complex networks via non‐smooth analysis. Issue 8 (1st May 2015)

• Record Type: Journal Article
• Authors: Liu, Xiaoyang; Yu, Wenwu; Cao, Jinde; Alsaadi, Fuad
• Is Part Of: IET control theory & applications. Volume 9:Issue 8(2015)
• Page Start: 1245
• Page End: 1253
• Publication Date: 2015-05-01
• Subjects: complex networks -- stability -- continuous systems -- sampled data systems -- synchronisation; finite‐time synchronisation control -- FTSC -- complex networks -- nonsmooth analysis -- discontinuous node dynamics -- continuous node dynamics -- finite‐time stability theorem -- settling time upper bound estimation; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2014.0995
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : This study is concerned with the finite‐time synchronisation control (FTSC) of complex networks with discontinuous and continuous node dynamics. Two types of controllers (including continuous and discontinuous ones) are designed to ensure synchronisation of networks based on non‐smooth analysis. Many sufficient criteria are given to guarantee FTSC by utilising the famous finite‐time stability theorem. Compared the new obtained results with the previous literatures, the FTSC is discussed firstly when the node dynamics as well as the controllers are both discontinuous. Meanwhile, the upper bound of the settling time for synchronisation can be estimated. Finally, numerical examples are given to illustrate the effectiveness of the theoretical results.