Necessary and sufficient conditions for Input-Output Finite-Time stability of linear time-varying systems

Author

Amato, F. ; Carannante, G. ; De Tommasi, G. ; Pironti, A.

Author_Institution

Sch. of Comput. Sci. & Biomed. Eng., Univ. degli Studi Magna Graecia di Catanzaro, Catanzaro, Italy

fYear

2011

fDate

12-15 Dec. 2011

Firstpage

1933

Lastpage

1937

Abstract

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 ℒ₂. A numerical example illustrates the proposed technique.

Keywords

linear matrix inequalities; linear systems; stability; time-varying systems; IO-FTS; Reachability Gramian theory; differential linear matrix inequalities; feasibility problem; input-output finite time stability; linear time-varying system; necessary and sufficient condition; numerical example; Differential equations; Equations; Linear matrix inequalities; Linear systems; Numerical stability; Stability analysis; Time varying systems; DLMIs; IO-FTS; Linear systems; Reachability Gramian; time-varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on

Conference_Location

Orlando, FL

ISSN

0743-1546

Print_ISBN

978-1-61284-800-6

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2011.6160246

Filename

6160246