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.
Author: | Tobias Brüll |
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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 |