时变内耦合复杂网络的平衡态同步smart变结构控制(英文)

Smart variable structure control of complex network with time-varying inner-coupling matrix to its equilibrium

当前同步控制问题是复杂网络研究的热点之一.本文针对具有时变内耦合结构的复杂网络,利用结点混沌动态的各态历经性,通过构造合适的滑模面,提出了smart变结构控制器的设计策略.该策略可使复杂网络动态行为趋向于所构造的全局吸引区域,从而最终实现复杂网络在平衡态的渐近同步.最后,基于3种不同拓扑结构的Lorenz结点动态的复杂网络进行仿真实验表明该控制方案具有较好的鲁棒性和有效性.

The novelty in this paper lies in the establishment of smart controller and suitable multiple sliding mode manifolds according to node chaos dynamics of complex networks with time-varying inner-coupling configuration. The smart variable structure control for asymptotical synchronization to its equilibrium is developed based on the ergodicity characteristic of chaos nodes, without the involvement of linearization and other ideal assumptions. The scheme enables the behavior of complex networks to approach the desired manifolds, and eventually realizes the asymptotical synchronization. Finally, the simulations based on the Lorenz chaos complex network under three topological configurations further verify the robustness and effectiveness of the proposed scheme.