Necessary and Sufficient Conditions for Input-Output Finite-Time Stability of Linear Time-Varying Systems

被引：0
|
作者：
Amato, F. [1 ]
Carannante, G. [2 ]
De Tommasi, G. [2 ]
Pironti, A. [2 ]
机构：
[1] Magna Graecia Univ Catanzaro, Sch Comp Sci & Biomed Engn, Via Tommaso Campanella 115, I-88100 Catanzaro, Italy
[2] Univ Naples Federico II, Dipartimento Informat & Sistemist, I-80125 Naples, Italy
来源：
2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC) | 2011年
关键词：
Linear systems; time-varying systems; Reachability Gramian; IO-FTS; DLMIs;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In the recent paper [3] a sufficient condition for Input-Output Finite-Time stability (IO-FTS) has been provided by the authors. By using an approach based on Reachability Gramian theory, in this paper we show that such condition, which requires the solution of a feasibility problem involving differential linear matrix inequalities (DLMIs), is also necessary for IO-FTS when the class of system inputs belong to L-2. A numerical example illustrates the proposed technique.
引用
收藏
页码：1933 / 1937
页数：5
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