论文标题
从本地到全球渐近稳定性，弱关同控制系统
From local to global asymptotic stabilizability for weakly contractive control systems
论文作者
论文摘要
如果某些固定的riemannian度量独立于对照，则据说非线性控制系统在控制中在控制中是弱关同的（从某种意义上说，两种轨迹之间的距离是时间的非进攻函数）。我们在本文中证明，对于此类系统，局部渐近稳定性意味着通过动态状态反馈通过动态状态反馈的全球渐近稳定性。我们将此结果与所谓的Jurdjevic和Quinn方法联系起来。
A nonlinear control system is said to be weakly contractive in the control if the flow that it generates is non-expanding (in the sense that the distance between two trajectories is a non-increasing function of time) for some fixed Riemannian metric independent of the control. We prove in this paper that for such systems, local asymptotic stabilizability implies global asymptotic stabilizability by means of a dynamic state feedback. We link this result and the so-called Jurdjevic and Quinn approach.
