研究了一类高阶随机系统,该系统有时变时滞,为系统设计了合适的状态反馈控制器。利用增加幂次积分,然后选择适当的Lyapunov函数,进而得到相应的状态反馈控制器。在此状态反馈控制器作用下,原系统依概率全局渐近稳定,系统状态均可调节到原点。文章在末尾处给出了数值实例。
State-feedback stabilization for stochastic high-order nonlinear systems with time-varying delay has been considered in this paper.By extending the adding a power integrator technique,then choosing an appropriate Lyapunov Krasoviskii functional,a state-feedback controller has been made,it makes the closed-loop system globally asymptotically stable in probability.A simulation example is given in the end.