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Bipartite containment control of fractional multi-agent systems with input delay on switching signed directed
Ran Yang1, Song Liu2, Xiaoyan Li2
1School of Mathematical Sciences, Anhui University, Hefei 230601, PR China.
Abstract:
The bipartite containment control of nonlinear fractional multi-agent systems (FMASs) on fixed and switching signed directed networks is addressed in this article. Delayed control protocols are put forward to provide several simple algebraic criteria by means of using signed graph theory, fractional Razumikhin technique and common Lyapunov function approach. The presented method can well overcome the difficulty resulting from fractional calculus, time delay and switchings. Two numerical examples are presented for further clarifying the theoretical conclusions.
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