CAJ | 학술논문

在牵制控制的基础上，文章探讨了节点与耦合均含变时滞复杂网络的自适应同步问题。首先，利用非线性耦合常微分方程描述了一般复杂网络的动态模型，同时给出了必要的定义、假设和引理。然后，基于李雅普诺夫稳定性理论和自适应控制原理，设计了简单适当的自适应控制器，让其通过对部分节点进行牵制控制来实现整个网络的同步，并且给出网络渐近同步的充分条件。最后，通过数值实验结果很好地验证了理论的可行性与有效性。
재견제공제적기출상，문장탐토료절점여우합균함변시체복잡망락적자괄응동보문제。수선，이용비선성우합상미분방정묘술료일반복잡망락적동태모형，동시급출료필요적정의、가설화인리。연후，기우리아보낙부은정성이론화자괄응공제원리，설계료간단괄당적자괄응공제기，양기통과대부분절점진행견제공제래실현정개망락적동보，병차급출망락점근동보적충분조건。최후，통과수치실험결과흔호지험증료이론적가행성여유효성。
Based on the containment control theory, the pinning adaptive synchronization of a complex net-work with node-coupled time-varying is deliberated in this thesis.First, the general dynamic models of com-plex networks is described by nonlinear coupled ordinary differential equations.Besides, the necessary defini-tions, assumptions and lemma are given.And then, on the basis of Lyapunov stability and Pinning adaptive theo-ry, a simple and appropriate adaptive controller is designed, which allowed by some nodes contain controls to a-chieve all nodes of complex networks get to their harmonious states, and sufficient conditions is also given asymp-totic network synchronization.At last, numerical simulations are put forwarded to check the significance and ef-fectiveness of the theory.