Conic S-Procedure And Constrained Dissipativity
Optimization and Control
2007-05-23 v1
Abstract
A new version of classical S-procedure in system theory is proposed based on duality in the space of positive definite matrices and introduction of matrix Lagrange multipliers. A new proof and extension of the recent results of T.Iwasaki, S. Hara, A. Fradkov ( Systems & Control Letters, 2005. Vol 54 (7), pp 681-691) concerning equivalence between frequency domain inequality on finite frequency range and constrained dissipativity property for linear systems is given. The results of this paper extend S-procedure to allow for analysis and design of systems with matrix inequalities constraints.
Cite
@article{arxiv.math/0509718,
title = {Conic S-Procedure And Constrained Dissipativity},
author = {Alexander L. Fradkov},
journal= {arXiv preprint arXiv:math/0509718},
year = {2007}
}