TY - JOUR

T1 - Conic S-procedure and constrained dissipativity for linear systems

AU - Fradkov, A. L.

PY - 2007/3/25

Y1 - 2007/3/25

N2 - 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.

AB - 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.

KW - dissipativity

KW - Frequency domain inequality

KW - Kalman-Yakubovich-Popov (KYP) lemma

KW - Linear matrix inequality

KW - S-procedure

UR - http://www.scopus.com/inward/record.url?scp=33947420934&partnerID=8YFLogxK

U2 - 10.1002/rnc.1090

DO - 10.1002/rnc.1090

M3 - Article

AN - SCOPUS:33947420934

VL - 17

SP - 405

EP - 413

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

SN - 1049-8923

IS - 5-6

ER -