Finite-Time Stabilization of Linear Time-Varying Continuous Systems 论文

2009IEEE Transactions on Automatic Control引用 238
Stability and Control of Uncertain SystemsElasticity and Wave PropagationMatrix Theory and Algorithms

详细信息

发表期刊/会议
IEEE Transactions on Automatic Control
发表日期
2009-02-01
发表年份
2009

关键词

Stability and Control of Uncertain SystemsElasticity and Wave PropagationMatrix Theory and Algorithms

摘要

In this technical note, the problem of finite time stabilization of linear time-varying continuous systems is considered. Necessary and sufficient conditions, based upon the solution to some Lyapunov differential matrix equations, are proposed for particular cases of interest. From these conditions, the design of time-varying state feedback controller guaranteeing the finite time closed-loop stability is presented. Numerical experiments illustrate the potentialities of the approach.