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Conic S ‐procedure and constrained dissipativity for linear systems
Author(s) -
L. Fradkov A.
Publication year - 2006
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1090
Subject(s) - equivalence (formal languages) , mathematics , conic section , lagrange multiplier , positive definite matrix , extension (predicate logic) , property (philosophy) , duality (order theory) , pure mathematics , mathematical optimization , computer science , geometry , eigenvalues and eigenvectors , philosophy , physics , epistemology , quantum mechanics , programming language
A new proof and extension of the recent result of Iwasaki et al . ( Systems Control Lett . 2005; 54 (7):681–691) concerning equivalence of frequency domain inequality on finite frequency range and constrained dissipativity property for linear systems is given. The results of this paper employ an extended version of S ‐procedure based on duality in the space of positive definite matrices and introduction of matrix Lagrange multipliers, proposed by Yakubovich in 1992. Copyright © 2006 John Wiley & Sons, Ltd.