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On the solvability of the positive real lemma equations

โœ Scribed by Augusto Ferrante; Luciano Pandolfi

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
143 KB
Volume
47
Category
Article
ISSN
0167-6911

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โœฆ Synopsis

In this paper, we consider the classical equations of the positive real lemma under the sole assumption that the state matrix A has unmixed spectrum: (A) โˆฉ (-A) = โˆ…. Without any other system-theoretic assumption (observability, reachability, stability, etc.), we derive a necessary and su cient condition for the solvability of the positive real lemma equations.

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