Lur'e Equations and Even Matrix Pencils
Please always quote using this URN:urn:nbn:de:0296-matheon-6677
- In this work we consider the so-called Lur'e matrix equations that arise e.g. in model reduction and linear-quadratic infinite time horizon optimal control. We characterize the set of solutions in terms of deflating subspaces of even matrix pencils. In particular, it is shown that there exist solutions which are extremal in terms of definiteness. It is shown how these special solutions can be constructed deflating subspaces of even matrix pencils.
Author: | Timo Reis |
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URN: | urn:nbn:de:0296-matheon-6677 |
Referee: | Volker Mehrmann |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2009/05/11 |
Release Date: | 2009/05/11 |
Tag: | |
Institute: | Technische Universität Berlin |
MSC-Classification: | 15-XX LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY / 15Axx Basic linear algebra / 15A22 Matrix pencils [See also 47A56] |
15-XX LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY / 15Axx Basic linear algebra / 15A24 Matrix equations and identities | |
47-XX OPERATOR THEORY / 47Axx General theory of linear operators / 47A15 Invariant subspaces [See also 47A46] | |
49-XX CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX] / 49Nxx Miscellaneous topics / 49N05 Linear optimal control problems [See also 93C05] | |
Preprint Number: | 672 |