Pinning bipartite synchronization for coupled nonlinear systems with antagonistic interactions and switching topologies

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• 作者：Shidong Zhai ^{zhaisd@cqupt.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Qingdu Li ; ^{liqd@cqupt.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Signed graph ; Structural balance ; Nonlinear systems ; Pinning control
• 刊名：Systems & Control Letters
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：94
• 期：Complete
• 页码：127-132
• 全文大小：467 K

文摘

This paper studies the bipartite synchronization in a network of nonlinear systems with antagonistic interactions and switching topologies. In order to obtain some conditions such that the network achieves bipartite synchronization for any initial conditions, we design a pinning scheme to pin a part of agents. Under the assumptions that all signed graphs are structurally balanced and the nonlinear system satisfies a one-sided Lipschitz condition, we derive conditions under which the network reaches bipartite synchronization for any initial conditions and arbitrary switching signals. For a general switching signal (especially the periodic switching signal), some conditions related to switching signal are obtained. Finally, we present two numerical examples to illustrate the effectiveness of the obtained results.