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采用Razumikhin方法研究一类随机时变时滞非线性系统的状态反馈镇定问题.利用随机系统的RazumikhinMao理论和反推设计方法,设计系统的状态反馈控制器,所设计的控制器能保证闭环系统的平衡点为依概率全局渐近稳定的.所提出的方法能够彻底地去掉关于随机时变时滞非线性系统传统结果中所要求的时滞导数的限制.仿真示例验证了所提出状态反馈控制器的有效性.
Razumikhin method is used to study the state feedback stabilization of a class of nonlinear systems with stochastic time-varying delays. The state feedback controller of the system is designed by using Razumikhinao theory and backstepping design of stochastic systems. The designed controller can guarantee the closed- The equilibrium point is global asymptotic stability in terms of probability.The proposed method can completely remove the restrictions on the time-delay derivatives required in the traditional results of stochastic systems with time-varying delay nonlinears.The simulation results demonstrate that the proposed state feedback controller Effectiveness.