Practical bipartite synchronization via pinning control on a network of nonlinear agents with antagonistic interactions
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- 作者：Shidong Zhai ; Qingdu Li
- 关键词：Bipartite synchronization ; Heterogeneous nonlinear systems ; Pinning control
- 刊名：Nonlinear Dynamics
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：87
- 期：1
- 页码：207-218
- 全文大小：
- 刊物类别：Engineering
- 刊物主题：Vibration, Dynamical Systems, Control; Classical Mechanics; Mechanical Engineering; Automotive Engineering;
- 出版者：Springer Netherlands
- ISSN：1573-269X
- 卷排序：87
文摘
This paper studies the synchronization phenomena in a network of heterogeneous nonlinear systems over signed graph, which can be considered as the perturbation of a network of homogeneous nonlinear systems. Assume that the signed graph is structurally balanced, the nonlinear system satisfies one-sided Lipschitz condition, and a leader pins a subset of agents. Under some proper initial conditions of the leader, we derive some conditions under which bipartite synchronization error can be kept arbitrary small by choosing a proper pining scheme. This property is called practical pinning bipartite synchronization as an alternative synchronization notion for network of heterogeneous nonlinear systems over signed graph. Finally, we present a numerical example to illustrate the effectiveness of the obtained results.