Exponential stabilization of hyperbolic systems with nonlinear, unbounded perturbations—riccati operator approach

DOI10.1080/00036819108840045zbMath0748.49005OpenAlexW2004694010WikidataQ58289511 ScholiaQ58289511MaRDI QIDQ4007202

Publication date: 27 September 1992

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819108840045

zbMATH Keywords

Kirchhoff plate feedback operator Abstract differential equations appropriate Riccati equation nonlinear unstructured perturbations unbounded nonlinear operators

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems in abstract spaces (93C25) Perturbations in context of PDEs (35B20) Existence theories for problems in abstract spaces (49J27) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (6)

Abstract settings for tangential boundary stabilization of Navier--Stokes equations by high- and low-gain feedback controllers. ⋮ Algebraic Riccati equations arising from systems with unbounded input-solution operator: applications to boundary control problems for wave and plate equations ⋮ The Riccati algebraic equation in a locally \(C^*\)-algebra ⋮ Extended algebraic Riccati equations in the abstract hyperbolic case ⋮ Min-max game theory and algebraic Riccati equations for boundary control problems with continuous input-solution map. II: The general case ⋮ The dual algebraic Riccati equations: additional results under isomorphism of the Riccati operator

Cites Work

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