随机广义Sprott-C混沌系统的有限时间同步分析

摘要

研究了随机广义Sprott-C混沌系统的有限时间同步问题.首先构造了随机受扰的广义混沌Sprott-C驱动-响应系统模型, 接着基于有限时间稳定性定理、It^o公式和Lipschitz假设条件, 设计了合适的控制器, 证明了随机广义Sprott-C驱动-响应系统的有限时间稳定性结论, 并且分析讨论了控制增益系数k和参数γ与系统实现有限时间同步时间之间的关系.最后通过选取合适参数, 结合数值仿真, 验证了所给结论的正确性.%Finite-time synchronization of stochastic general Sprott-C chaotic system is investigated in the paper.Firstly, the drive-response chaotic Sprott-C system is constructed, then an effective controller is designed to guarantee the finite-time synchronization of the drive-response systems based on finite-time stochastic stability theory, It formula and Lipchitz assumptions.And the finite time stability of stochastic generalized Sprott-C drive-response systems is proved.Moreover, the relationships among the gain coefficient k, the parameter γ and the synchronization time are analyzed.Finally, numerical simulations are provided to illustrate the correctness of the theoretical results.