Stabilization of compact sets for passive affine nonlinear systems
Stabilization of compact sets for passive affine nonlinear systems
复制标题
被动仿射非线性系统紧集的稳定性
DOI：
10.1016/s0005-1098(00)00053-4
复制
发表时间：
2000
期刊：
影响因子：
--
通讯作者：
A. Shiriaev
中科院分区：
文献类型：
--
作者：
A. Shiriaev
研究了一类被动仿射非线性系统状态空间规定子集的全局（局部）镇定问题。假设期望的吸引集可以描述为某个光滑非负函数的零值的逆像，并且该函数不沿非强制系统的解增加。根据该函数，得到了一类状态反馈调节器和保证全局（局部）目标集稳定的新充分条件。
This paper is devoted to the problem of global (local) stabilization of a prescribed subset of the state space for a passive affine nonlinear system. It is assumed that the desired attractive set can be described as an inverse image of zero value of some smooth nonnegative function, and that this function does not increase along the solutions of the unforced system. In terms of this function, a class of state feedback regulators and new sufficient conditions guaranteeing global (local) goal set stabilization are obtained.