CAJ | 학술논문

讨论具有相似节点的耦合时滞复杂网络的稳定和同步问题,且网络模型的外部耦合满足耗散条件.对于不同维数节点的复杂网络,根据节点之间相似参量的信息,利用线性矩阵不等式方法设计出含有相似参量的分散控制器,给出耦合复杂网络实现稳定的时滞独立判定准则.定义了含有相似参量的同步流形的概念,并设计了相应的分散控制器,给出了能使整个复杂网络同步的时滞独立判定条件.数值算例表明了所提出设计方法的有效性.
토론구유상사절점적우합시체복잡망락적은정화동보문제,차망락모형적외부우합만족모산조건.대우불동유수절점적복잡망락,근거절점지간상사삼량적신식,이용선성구진불등식방법설계출함유상사삼량적분산공제기,급출우합복잡망락실현은정적시체독립판정준칙.정의료함유상사삼량적동보류형적개념,병설계료상응적분산공제기,급출료능사정개복잡망락동보적시체독립판정조건.수치산례표명료소제출설계방법적유효성.
The stabilization and synchronization of complex dynamical networks with similar nodes and coupling time-delay are investigated, and the out-coupling satisfies the condition of the dissipation. For the complex dynamical network of different dimension node, the decentralized control strategies are designed in term of the information of the similar parameters in complex dynamical networks by using the method of linear matrix inequality. A synchronization criterion time delay independent of this model is given by the decentralized controller with similar parameters. The definition of the synchronization manifold is proposed, and the time delay independent criterion of the synchronization of the complex dynamical networks is derived. Finally, a numerical example is given to show the effectiveness of the designed method.