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Dissipativity and linear matrix inequalities

Please always quote using this URN:urn:nbn:de:0296-matheon-7190
  • In this paper we will consider first-order linear systems with quadratic cost or energy functionals. For such systems we will show that (under some controllability assumptions) dissipativity is equivalent to the solvability of a certain linear matrix inequality.

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Metadaten
Author:Tobias Brüll
URN:urn:nbn:de:0296-matheon-7190
Referee:Volker Mehrmann
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2010/09/28
Release Date:2010/09/28
Tag:
Institute:Technische Universität Berlin
MSC-Classification:34-XX ORDINARY DIFFERENTIAL EQUATIONS / 34Axx General theory / 34A09 Implicit equations, differential-algebraic equations [See also 65L80]
49-XX CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX] / 49-02 Research exposition (monographs, survey articles)
93-XX SYSTEMS THEORY; CONTROL (For optimal control, see 49-XX) / 93Cxx Control systems / 93C05 Linear systems
93-XX SYSTEMS THEORY; CONTROL (For optimal control, see 49-XX) / 93Cxx Control systems / 93C35 Multivariable systems
Preprint Number:727
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