Finite-Time Control of Linear Systems: A Survey

  • Francesco Amato
  • Marco Ariola
  • Marco Carbone
  • Carlo Cosentino
Part of the Systems and Control: Foundations & Applications book series (SCFA)


This chapter illustrates various finite-time analysis and design problems for linear systems. Most of this work deals with continuous-time systems. First, some conditions for finite-time stability and boundedness are presented; then we turn to the design problem. In this context, we consider both the state feedback and the output feedback synthesis. For both cases, we end up with some sufficient conditions involving linear matrix inequalities (both algebraic and differential). The last section of the chapter extends the previous results to discrete-time systems.


State Feedback Linear Matrix Inequality Feedback Controller Output Feedback State Feedback Controller 
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Copyright information

© Birkhäuser Boston 2006

Authors and Affiliations

  • Francesco Amato
    • 1
  • Marco Ariola
    • 2
  • Marco Carbone
    • 3
  • Carlo Cosentino
    • 2
  1. 1.Corso di Laurea in Ingegneria Informatica e Biomedica, Dip. di Medicina Sperimentale e ClinicaUniversitá Magna GræciaCatanzaroItalia
  2. 2.Dipartimento di Informatica e SistemisticaUniversitá degli Studi di Napoli Federico IINapoliItalia
  3. 3.Dipartimento di Informatica, Matematica, Elettronica e TrasportiUniversitá degli Studi Mediterranea di Reggio CalabriaReggio CalabriaItalia

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