基于多切换传输的复变量混沌系统的有限时组合同步控制

Finite-Time Combination Synchronization Control of Complex-Variable Chaotic Systems With Multi-Switching Transmission

针对一类复变量混沌系统,研究了基于多切换传输的有限时同步控制问题.首先,针对网络信号在传输过程中的同步模式,分析了多个混沌系统之间的多切换同步行为.其次,基于预设的切换传输规则,给出了有限时组合同步的定义.进而,依据有限时稳定性理论,设计了一类实现快速同步的控制器,并给出了有限时组合同步的充分条件.最后,通过数值仿真和分析,验证了所设计控制方案的有效性.

The problem of finite-time combination synchronization for a class of complex-variable chaotic systems was investigated.Firstly,for the synchronization mode in signal transmission,the multi-switching synchronization behavior among multiple chaotic systems was analyzed.Secondly,based on the preset switching rules,the definition of finite-time combination synchronization was given.Then,according to the theory of finite-time stability,a kind of controller was designed to realize fast synchronization,and the sufficient conditions were given.Finally,results of numerical simulation and analysis verify the effectiveness of the proposed control scheme.