【摘要】 探讨了随机受扰的广义Sprott-C混沌系统的有限时间同步问题.首先提出了含有未知参数的随机广义Sprott-C驱动-响应混沌系统模型,设计了合适的有限时间控制器和参数自适应更新率,接着基于有限时间稳定性定理、It?公式和随机系统理论,给出了随机扰动作用下,广义Sprott-C驱动-响应系统的有限时间稳定性的结论,并对系统的未知参数进行了辨识.利用数值仿真,验证了所给结论的正确性与有效性,并对参数的选取进行了比较分析.更多还原

【Abstract】 Finite-time stochastic synchronization of general Sprott-C chaotic system is investigated in the paper.Firstly,the general stochastic Sprott-C chaotic drive-response system with unknown parameters is constructed,then thefinite-time controller and papameter adaptive update rate are designed. The conclusion of finite-time stabilization ofthe general stochastic Sprott-C chaotic drive-response system under random perturbation is given based on finite-time stochastic stability theory,It? formula and the relative stochastic system theory,and the unknown parameters ofthe system are identified. Finally,numerical simulations are provided to illustrate the correctness of and effectivenssthe theoretical results,and the secelation of parameters is compared and analyzed in addition.更多还原