CONIC S-PROCEDURE AND CONSTRAINED DISSIPATIVITY FOR LINEAR SYSTEMS 1

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 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 V.A. Yakubovich in 1992.