Necessary and Sufficient Conditions for Input-Output Finite-Time Stability of Impulsive Dynamical Systems

被引：0

作者：

Amato, F. ^{[1
]}

De Tommasi, G. ^{[2
]}

Pironti, A. ^{[2
]}

机构：

[1] Magna Graecia Univ Catanzaro, Sch Comp Sci & Biomed Engn, Expt Clin Med Dept, Campus Germaneto Salvatore Venuta, I-88100 Catanzaro, Italy

[2] Univ Naples Federico II, Dipartimento Ingn Elettr & Tecnol Informaz, I-80125 Naples, Italy

来源：

2015 AMERICAN CONTROL CONFERENCE (ACC) | 2015年

关键词：

Impulsive Dynamical Linear Systems; Reachability Gramian; IO-FTS; D/DLMIs; ROBUST STABILITY; LINEAR-SYSTEMS; STABILIZATION;

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 [6] a sufficient condition for the input-output finite-time stability (IO-FTS) of time-dependent impulsive dynamical linear systems has been provided in terms of a feasibility problem involving a coupled difference/differential LMI (D/DLMI). In this paper we show that such condition is also necessary; moreover an alternative necessary and sufficient condition for IO-FTS is proved. The latter condition requires the solution of a coupled difference/differential Lyapunov equation (D/DLE) and is shown to be more efficient, from the computational point of view, than the D/DLMI based condition. In order to prove the main result, we exploit the definition of controllability Gramian extended to impulsive systems. An example illustrates the benefits of the proposed technique.

引用

页码：5998 / 6003

页数：6

共 23 条

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