Input-output finite time stabilization of linear systems

Amato, F; Ambrosino, Roberto; Cosentino, C; De Tommasi, G.

doi:10.1016/j.automatica.2010.06.005

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Bounded Input Bounded Output (BIBO) stability is usually studied when only the input-output behavior of a dynamical system is of concern. The present paper investigates the analogous concept in the framework of Finite Time Stability (FTS), namely the Input-Output FTS (IO-FTS). FTS has been already investigated in several papers in terms of state boundedness, whereas in this work we deal with the characterization of the input-output behavior. Sufficient conditions are given, concerning the class of L(2) and L(infinity) 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. The effectiveness of the proposed results is eventually illustrated by means of some numerical examples. (c) 2010 Elsevier Ltd. All rights reserved.

Titolo:	Input-output finite time stabilization of linear systems
Autori:	Amato F AMBROSINO, ROBERTO Cosentino C De Tommasi G. mostra contributor esterni nascondi contributor esterni
Data di pubblicazione:	2010
Rivista:	AUTOMATICA
Abstract:	Bounded Input Bounded Output (BIBO) stability is usually studied when only the input-output behavior of a dynamical system is of concern. The present paper investigates the analogous concept in the framework of Finite Time Stability (FTS), namely the Input-Output FTS (IO-FTS). FTS has been already investigated in several papers in terms of state boundedness, whereas in this work we deal with the characterization of the input-output behavior. Sufficient conditions are given, concerning the class of L(2) and L(infinity) 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. The effectiveness of the proposed results is eventually illustrated by means of some numerical examples. (c) 2010 Elsevier Ltd. All rights reserved.
Handle:	http://hdl.handle.net/11367/19453
Appare nelle tipologie:	1.1 Articolo in rivista

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