<p>This paper focuses on the leader-follower bipartite synchronization problem of coopetitive memristive neural networks subject to communication delays by designing a cooperative-competitive-dependent controller. Firstly, the mathematical model of coupled memristive neural networks with cooperative-competitive relationships is established in conjunction with the directed signed graph. Due to the presence of competition, an orthogonal transformation is introduced to construct the uniform error system. Then a dynamic switching event-triggered mechanism is proposed to acquire the most needed transmission signals, where the triggering threshold is adjusted dynamically based on the current state and the latest sampled state. Next, a coopetitive-dependent controller with sign function is designed. The designed controller not only incorporates cooperative-competitive relationships among the nodes, but also can deal with network-induced communication delays. To be specific, the designed controller contains linear and nonlinear parts: the linear part helps to realize bipartite synchronization and the nonlinear part with switching gains helps to eliminate the residual terms generated by heterogenous memristive neural networks. Then, by designing a Lyapunov functional and combining with inequality techniques, some bipartite synchronization criteria are obtained. Besides, linear/nonlinear control gains and trigger matrix are co-designed. Finally, an example is used to verify the validity of the obtained results, and a comparison is also given to show the advantages of the dynamic switching event-triggered mechanism.</p>

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Bipartite synchronization of coopetitive MNNs subject to communication delays via dynamic switching event-triggered control

  • Lisha Yan,
  • Xia Huang,
  • Zhen Wang,
  • Min Xiao

摘要

This paper focuses on the leader-follower bipartite synchronization problem of coopetitive memristive neural networks subject to communication delays by designing a cooperative-competitive-dependent controller. Firstly, the mathematical model of coupled memristive neural networks with cooperative-competitive relationships is established in conjunction with the directed signed graph. Due to the presence of competition, an orthogonal transformation is introduced to construct the uniform error system. Then a dynamic switching event-triggered mechanism is proposed to acquire the most needed transmission signals, where the triggering threshold is adjusted dynamically based on the current state and the latest sampled state. Next, a coopetitive-dependent controller with sign function is designed. The designed controller not only incorporates cooperative-competitive relationships among the nodes, but also can deal with network-induced communication delays. To be specific, the designed controller contains linear and nonlinear parts: the linear part helps to realize bipartite synchronization and the nonlinear part with switching gains helps to eliminate the residual terms generated by heterogenous memristive neural networks. Then, by designing a Lyapunov functional and combining with inequality techniques, some bipartite synchronization criteria are obtained. Besides, linear/nonlinear control gains and trigger matrix are co-designed. Finally, an example is used to verify the validity of the obtained results, and a comparison is also given to show the advantages of the dynamic switching event-triggered mechanism.