非线性系统加积分器全局镇定

Global stabilization of nonlinear systems by adding an integrator

本文研究了非线性系统加积分器全局镇定问题 .主要结论是 :如果一非线性系统能用连续反馈律全局镇定 ,则加积分器的增广系统能用除原点外解析的反馈律镇定 .此外 。

In the paper,global stabilization of nonlinear systems by adding an integrator is considered.The main result is that if a nonlinear system is globally stabilizable with a continuous feedback,then the system added by an integrator is globally stabilizable with an anatytic feedback except the origin.In addition,the problem that feedback is continuous at the origin is considered.