Finite-Time Stability of Linear Time-Varying Systems: Analysis and Controller Design

被引:253
|
作者
Amato, Francesco [1 ]
Ariola, Marco [2 ]
Cosentino, Carlo [1 ]
机构
[1] Magna Graecia Univ Catanzaro, Sch Comp & Biomed Engn, I-88100 Catanzaro, Italy
[2] Univ Napoli Parthenope, Dipartimento Tecnol, Ctr Direz Napoli, I-80143 Naples, Italy
关键词
Dynamic output feedback; finite-time stability; linear time-varying systems; OUTPUT-FEEDBACK; STABILIZATION;
D O I
10.1109/TAC.2010.2041680
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The note deals with the finite-time analysis and design problems for continuous-time, time-varying linear systems. Necessary and sufficient conditions and a sufficient condition for finite-time stability are devised. Moreover, sufficient conditions for the solvability of both the state and the output feedback problems are stated. Such results require the feasibility of optimization problems involving Differential Linear Matrix Inequalities. Some numerical examples illustrate the effectiveness of the proposed approach.
引用
收藏
页码:1003 / 1008
页数:6
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