论文部分内容阅读
利用耗散不等式研究了切换多项式非线性系统的输入-状态稳定性分析问题,在任意切换信号下,给出了使得切换多项式非线性系统输入-状态稳定的充分条件.采用平方和分解方法来寻找切换多项式非线性系统的输入-状态稳定共同Lyapunov函数.数值算例验证了所提方法的可行性.
Using the dissipative inequality, the input-state stability analysis of switched polynomial nonlinear systems is studied. Under arbitrary switching signals, sufficient conditions for the input-state stability of the switched polynomial nonlinear systems are given. The square sum decomposition method is used to find the Switching the input-state stable common Lyapunov function of the nonlinear polynomial system. Numerical examples demonstrate the feasibility of the proposed method.