【摘要】 针对一类混合时滞系统的同步性问题,提出了这类系统混沌同步的一般化结果。利用Lyapunov函数,结合不等式技巧及驱动-响应方法,通过一个控制律来实现两个可辨识混合时滞系统的状态同步,并获得了实用的构造性代数条件,使得混沌同步的研究结果一般化,推广了已有结果。讨论了所获得的结果在生物学及神经网络中的应用,得到相应的同步控制充分性条件,进一步扩展了已有结果。更多还原

【Abstract】 To study the synchronization problem of a class of systems with mixed delays, some generalized results are proposed for chaotic synchronization of this class of systems. By constructing suitable Lyapunov functionals, using inequality technique and drive-response method, a control law is derived to achieve the state synchronization of two identical mixed delayed systems, and the derived banausic sufficient conditions generalize the results of chaos synchronization. In addition, the application of the results in biology and neural networks are discussed and the relevant chaos control sufficient conditions which expand some existing results are obtained.更多还原