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

  • Authors:

  • Francesco Amato;Roberto Ambrosino;Marco Ariola;Carlo Cosentino

  • Affiliations:

  • School of Computer and Biomedical Engineering, Universití degli Studi Magna Græcia di Catanzaro, Viale Europa, Campus di Germaneto, 88100 Catanzaro, Italy;Dipartimento per le Tecnologie, Universití degli Studi di Napoli Parthenope, Centro Direzionale, Isola C4, 80143, Napoli, Italy;Dipartimento per le Tecnologie, Universití degli Studi di Napoli Parthenope, Centro Direzionale, Isola C4, 80143, Napoli, Italy;School of Computer and Biomedical Engineering, Universití degli Studi Magna Græcia di Catanzaro, Viale Europa, Campus di Germaneto, 88100 Catanzaro, Italy

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2009

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Abstract

This paper deals with the finite-time stability problem for continuous-time linear time-varying systems with finite jumps. This class of systems arises in many practical applications and includes, as particular cases, impulsive systems and sampled-data control systems. The paper provides a necessary and sufficient condition for finite-time stability, requiring a test on the state transition matrix of the system under consideration, and a sufficient condition involving two coupled differential-difference linear matrix inequalities. The sufficient condition turns out to be more efficient from the computational point of view. Some examples illustrate the effectiveness of the proposed approach.