Finite-Time Stability and Control

  • Francesco Amato
  • Roberto Ambrosino
  • Marco Ariola
  • Carlo Cosentino
  • Gianmaria De Tommasi

Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 453)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Francesco Amato, Roberto Ambrosino, Marco Ariola, Carlo Cosentino, Gianmaria De Tommasi
    Pages 1-5
  3. Linear Systems

    1. Front Matter
      Pages 7-7
    2. Francesco Amato, Roberto Ambrosino, Marco Ariola, Carlo Cosentino, Gianmaria De Tommasi
      Pages 9-21
    3. Francesco Amato, Roberto Ambrosino, Marco Ariola, Carlo Cosentino, Gianmaria De Tommasi
      Pages 23-37
    4. Francesco Amato, Roberto Ambrosino, Marco Ariola, Carlo Cosentino, Gianmaria De Tommasi
      Pages 39-52
    5. Francesco Amato, Roberto Ambrosino, Marco Ariola, Carlo Cosentino, Gianmaria De Tommasi
      Pages 53-66
    6. Francesco Amato, Roberto Ambrosino, Marco Ariola, Carlo Cosentino, Gianmaria De Tommasi
      Pages 67-87
  4. Hybrid Systems

    1. Front Matter
      Pages 89-89
    2. Francesco Amato, Roberto Ambrosino, Marco Ariola, Carlo Cosentino, Gianmaria De Tommasi
      Pages 91-113
    3. Francesco Amato, Roberto Ambrosino, Marco Ariola, Carlo Cosentino, Gianmaria De Tommasi
      Pages 115-125
    4. Francesco Amato, Roberto Ambrosino, Marco Ariola, Carlo Cosentino, Gianmaria De Tommasi
      Pages 127-139
  5. Back Matter
    Pages 141-146

About this book

Introduction

Finite-time stability (FTS) is a more practical concept than classical Lyapunov stability, useful for checking whether the state trajectories of a system remain within pre-specified bounds over a finite time interval. In a linear systems framework, FTS problems can be cast as convex optimization problems and solved by the use of effective off-the-shelf computational tools such as LMI solvers. Finite-time Stability and Control exploits this benefit to present the practical applications of FTS and finite-time control-theoretical results to various engineering fields. The text is divided into two parts:

·         linear systems; and

·         hybrid systems.

The building of practical motivating examples helps the reader to understand the methods presented.

Finite-time Stability and Control is addressed to academic researchers and to engineers working in the field of robust process control. Instructors teaching graduate courses in advanced control will also find parts of this book useful for their courses.

Keywords

Continuous-Time Systems Discrete-Time Systems Finite-time Stability Hybrid Systems Linear Matrix Inequalities Linear Systems Lyapunov Functions Lyapunov Stability Nonlinear Quadratic Systems Uncertain Systems

Authors and affiliations

  • Francesco Amato
    • 1
  • Roberto Ambrosino
    • 2
  • Marco Ariola
    • 3
  • Carlo Cosentino
    • 4
  • Gianmaria De Tommasi
    • 5
  1. 1.Dipartimento di Medicina Sperimentale e ClinicaUniversità Magna Graecia di CatanzaroCatanzaroItaly
  2. 2.Dipartimento di IngegneriaUniversità degli Studi di Napoli ParthenopeNapoliItaly
  3. 3.Dipartimento di IngegneriaUniversità degli Studi di Napoli ParthenopeNapoliItaly
  4. 4.Dipartimento di Medicina Sperimentale e ClinicaUniversità Magna Graecia di CatanzaroCatanzaroItaly
  5. 5.Dipartimento di Ingegneria Elettrica e delle Tecnologie dell'InformazioneUniversità degli Studi di Napoli Federico IINapoliItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4471-5664-2
  • Copyright Information Springer-Verlag London 2014
  • Publisher Name Springer, London
  • eBook Packages Engineering
  • Print ISBN 978-1-4471-5663-5
  • Online ISBN 978-1-4471-5664-2
  • Series Print ISSN 0170-8643
  • Series Online ISSN 1610-7411
  • About this book
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