复杂动态网络自适应有限时间同步控制  

Adaptive finite-time synchronization of complex dynamical networks

作　　者：石宇静[1] 李强[1] SHI Yu-jing;LI Qiang(Department of Applied Mathematics,Harbin University of Science and Technology,Harbin Heilongjiang 150080,China)

机构地区：[1]哈尔滨理工大学应用数学系

出　　处：《控制理论与应用》2020年第1期147-154,共8页Control Theory & Applications

基　　金：黑龙江省博士后科研启动金(LBH–Q16121);国家自然科学基金项目(61673141);黑龙江省自然科学基金项目(A2018007)资助~~

摘　　要：本文利用自适应控制的方法,研究了复杂动态网络有限时间同步控制问题.针对网络的耦合权重已知和耦合权重未知两种情况,分别设计了相应的自适应控制器和参数自适应律.利用有限时间稳定性定理和Lyapunov稳定性理论,证明了复杂动态网络的误差动态系统是有限时间稳定的,并给出了同步过渡时间上界的估计.最后,利用数值算例验证了本文结论的有效性.In this paper,the problem of finite-time synchronization of complex dynamical networks is studied by using adaptive control method.For the two cases of known and unknown coupling weights of complex dynamical networks,corresponding adaptive controllers and parameter adaptive laws are designed respectively.By using the finite-time stability theorem and the Lyapunov stability theory,the finite-time stability of error dynamic system is proved.Meanwhile,the upper bound of the settling time for synchronisation can be estimated.Finally,the numerical example is provided to illustrate the effectiveness of the proposed theoretical results.

关 键 词：复杂动态网络 自适应控制 有限时间同步 

分 类 号：O157.5[理学—数学] O231[理学—基础数学]