Stabilization and \(H^{\infty}\) control of symmetric systems: An explicit solution

DOI10.1016/S0167-6911(01)00125-6zbMath0986.93028OpenAlexW2042517239MaRDI QIDQ5958147

Grigoriadis, Karolos M., Kan Tan

Publication date: 3 March 2002

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(01)00125-6

zbMATH Keywords

stabilizationlinear matrix inequalitybounded real lemmasymmetric systems\(H^\infty\) control

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Linear inequalities of matrices (15A39) (H^infty)-control (93B36)

Related Items (15)

Quadratic optimal controller to stabilise symmetrical systems ⋮ The minimum gain lemma ⋮ Stabilization and \(H^{\infty }\) control of discrete-time symmetric systems ⋮ Comments on ``Dissipative analysis and control of state-space symmetric systems ⋮ Integrated damping parameter and control design in structural systems for \(\mathcal H^2\) and \(\mathcal H^{\infty}\) specifications ⋮ Graph-theoretic approaches for analyzing the resilience of distributed control systems: a tutorial and survey ⋮ Dissipative analysis and control of state-space symmetric systems ⋮ gain analysis for switched systems with continuous-time and discrete-time subsystems ⋮ On positive realness, negative imaginariness, and \(H_\infty\) control of state-space symmetric systems ⋮ Controller failure time analysis for symmetric control systems ⋮ Some applications of small gain theorem to interconnected systems ⋮ Discussion on: ``Energy-to-peak model reduction for 2-D discrete systems in Fornasini-Marchesini form ⋮ Distributed Containment Control for Nonlinear Multi-Agent Systems with Time-Delayed Protocol ⋮ Output feedback stabilization for symmetric control systems ⋮ On positive realness and negative imaginariness of uncertain discrete-time state-space symmetric systems

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• Linear Matrix Inequalities in System and Control Theory
• Convex analysis of output feedback control problems: robust stability and performance
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