Paper Info
Title
Input-output finite-time stability of linear systems
Abstract
When only the input-output behavior of a dynamical system is of concern, usually Bounded-Input Bounded-Output (BIBO) stability is studied, for which several results exist in literature. The present paper investigates the analogous concept in the framework of Finite Time Stability (FTS), namely the Input-Output FTS. A system is said to be IO finite time stable if, assigned a bounded input class and some boundaries in the output signal space, the output never exceeds such boundaries over a prespecified (finite) interval of time. FTS has been already investigated in several papers in terms of state boundedness, whereas this is the first work dealing with the characterization of the input-output behavior. Sufficient conditions are given, concerning the class of L2 and Linfin input signals, for the analysis of IO-FTS and for the design of a static state feedback controller, guaranteeing IO-FTS of the closed loop system. Finally, the applicability of the results is illustrated by means of two numerical examples.
Year
DOI
Venue
2010
10.1109/MED.2009.5164564
Automatica
Keywords
DocType
Volume
asymptotic stability,data mining,dynamical system,input output,linear system,signal analysis,dynamic system,stability,stability analysis,linear systems,probability density function,control systems,numerical stability,automation,automatic control
Journal
46
Issue
ISSN
ISBN
9
2325-369X
978-1-4244-4685-8
Citations 
PageRank 
References 
9
0.64
1
Authors
5
Name
Order
Citations
PageRank
F. Amato1496.37
R. Ambrosino2172.37
Carlo Cosentino338439.33
G. De Tommasi4576.19
F. Montefusco5163.05