Algorithmic issues in the synthesis of dissipative systems

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Abstract

In this paper we discuss algorithmic issues that arise in the problem of synthesis of dissipative systems. We deal with linear differential systems that can be controlled only through a restricted set of variables called the control variables. The main feature of this paper is that we assume the system dynamics to be specified in the most general form: a latent variable representation. Starting from such a representation, we provide concrete algorithms that finally fetch a controller to implement the desired behavior. Many other peripheral algorithmic issues that crop up are also studied.

Original languageEnglish
Pages (from-to)407-428
Number of pages22
JournalMathematical and computer modelling of dynamical systems
Volume8
Issue number4
Publication statusPublished - Dec-2002

Keywords

  • behaviors
  • dissipativity
  • strict dissipativity
  • quadratic differential forms
  • algorithms
  • storage function
  • linear matrix inequalities
  • QUADRATIC DIFFERENTIAL FORMS
  • H-INFINITY CONTROL
  • J-SPECTRAL FACTORIZATION

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