Finite-time and fixed-time synchronization of discontinuous complex networks: A unified control framework design
Finite-time and fixed-time synchronization of discontinuous complex networks: A unified control framework design
复制标题
不连续复杂网络的有限时间和固定时间同步：统一控制框架设计
DOI：
10.1016/j.jfranklin.2018.04.026
复制
发表时间：
2018-07-01
影响因子：
4.1
通讯作者：
Jiang, Haijun
中科院分区：
文献类型：
--
作者：
Ji, Gaojian;Hu, Cheng;Jiang, Haijun
研究了具有不连续节点动态的复杂网络的有限时间和固定时间同步问题。首先，在Filippov解的框架下，主要利用反证法，建立了非线性系统的有限时间和固定时间稳定性的一个新定理.此外，针对一类不连续复杂网络，首次设计了一种通用的控制律。在统一的控制框架下，在相同的条件下，只需调整一个关键控制参数的值，就可以保证网络实现有限时间或固定时间同步。在此基础上，提出了一种统一的控制策略，分别实现了网络的渐近同步、指数同步和有限时间同步。最后，通过数值模拟的例子，支持推导的理论结果。(C)2018年富兰克林研究所。由爱思唯尔有限公司出版。保留所有权利。
This paper is concerned with the finite-time and fixed-time synchronization of complex networks with discontinuous nodes dynamics. Firstly, under the framework of Filippov solution, a new theorem of finite-time and fixed-time stability is established for nonlinear systems with discontinuous right-hand sides by using mainly reduction to absurdity. Furthermore, for a class of discontinuous complex networks, a general control law is firstly designed. Under the unified control framework and the same conditions, the considered networks are ensured to achieve finite-time or fixed-time synchronization by only adjusting the value of a key control parameter. Based on the similar discussion, a unified control strategy is also provided to realize respectively asymptotical, exponential and finite-time synchronization of the addressed networks. Finally, the derived theoretical results are supported by an example with numerical simulations. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.