Families of linear-quadratic problems: Continuity properties

DOI10.1109/TAC.1987.1104593zbMath0617.93030OpenAlexW2065399374MaRDI QIDQ3754508

Harry L. Trentelman

Publication date: 1987

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.1987.1104593

zbMATH Keywords

dissipation inequalityparameter dependencecheap controllinear-quadratic optimal costpriority control

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05)

Related Items (12)

Continuity properties of solutions to \(H_{2}\) and \(H_{\infty}\) Riccati equations ⋮ Output regulation for linear systems subject to input saturation ⋮ Distributed adaptive tracking control for multi-agent systems with uncertain dynamics ⋮ The almost disturbance decoupling problem with internal stability for linear systems subject to input saturation. -- State feedback case ⋮ Lur'e equations and even matrix pencils ⋮ Theory of optimal control in the works of V.A. Yakubovich ⋮ Simultaneous \(L_{p}\)-stabilization and internal stabilization of linear systems subject to input saturation -- state feedback case ⋮ The singular \(H_ 2\) control problem ⋮ A structure‐preserving doubling algorithm for Lur'e equations ⋮ Design of Sliding Mode Controller with Actuator Saturation ⋮ Continuity properties of the cheap-control problem without stability ⋮ On the existence of a positive definite solution of the matrix equation \(X+A^ T X^{-1} A=I\)

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