The Fractional Representation Approach to Synthesis Problems: An Algebraic Analysis Viewpoint Part II: Internal Stabilization

DOI10.1137/S0363012902417139zbMath1035.93018OpenAlexW1975282328MaRDI QIDQ4442984

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Publication date: 8 January 2004

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0363012902417139

zbMATH Keywords

algebraic analysishomological algebrainternal stabilizationmodule theoryPrüfer domains(weakly) left/right/doubly coprime factorizations\(H_\infty(\mathbb C_+)\)coherent Sylvester domainsfractional representation approach to synthesis problemsYoula-Kučera parametrization of the stabilizing controllers

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Free, projective, and flat modules and ideals in associative algebras (16D40) Control/observation systems governed by functional-differential equations (93C23) Input-output approaches in control theory (93D25) Linear systems in control theory (93C05) Algebraic methods (93B25) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)

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