Synchronization Stability and Control for Neutral Complex Dynamical Network with Interval Time-Varying Coupling Delay

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• 作者：Jian-an Wang ; Chan Zeng ; Xinyu Wen
• 关键词：Complex dynamical network ; Synchronization ; Neutral delay ; Stability criterion ; Linear feedback controller
• 刊名：Circuits, Systems, and Signal Processing
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：36
• 期：2
• 页码：559-576
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Circuits and Systems; Electrical Engineering; Signal,Image and Speech Processing; Electronics and Microelectronics, Instrumentation;
• 出版者：Springer US
• ISSN：1531-5878
• 卷排序：36

文摘

This paper deals with the synchronization stability and control problems for neutral-type complex dynamical network with interval time-varying coupling delay. By dividing the delay interval into two equidistant subintervals and constructing two appropriate Lyapunov–Krasovskii functionals, several less conservative delay-dependent synchronization stability criteria are proposed in terms of linear matrix inequalities. Furthermore, a simple linear state feedback controller is introduced to force the network to synchronize, while the whole network cannot achieve synchronization by itself. Some sufficient synchronization conditions for the controlled network are derived. The minimum feedback gain can be determined based on the proposed conditions. Numerical examples are given to demonstrate the effectiveness and less conservatism of the proposed method.