Technical communique: Input-output finite time stabilization of linear systems

Authors:
F. Amato;R. Ambrosino;C. Cosentino;G. De Tommasi
Affiliations:
School of Computer and Biomedical Engineering, Universití degli Studi Magna Græcia di Catanzaro, Catanzaro, Italy;Dipartimento per le Tecnologie, Universití degli Studi di Napoli Parthenope, Napoli, Italy;School of Computer and Biomedical Engineering, Universití degli Studi Magna Græcia di Catanzaro, Catanzaro, Italy;Dipartimento di Informatica e Sistemistica, Universití degli Studi di Napoli Federico II, Napoli, Italy
Venue:
Automatica (Journal of IFAC)
Year:
2010

Citing 3
Cited 2

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Technical communique: Finite-time stability of linear time-varying systems with jumps

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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"~ 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.