2005/09/30 by Аlexander L. Fradkov, Alexander L. Fradkov, Fradkov, Alexander L.
Computer Science · Engineering · Mathematics · #49N15 (Secondary) #93C05(Primary) 49N10 #Elasticity and Wave Propagation #FOS: Mathematics #Matrix Theory and Algorithms #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems #math.OC #msc:49N10 #msc:49N15
paper · pdf · doi:10.48550/arxiv.math/0509718
arxiv created 2005/09/30 · openalex publication_date 2005/09/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.