Singular problem in optimal control of linear stationary system with quadratic functional

DOI10.1007/BF00968972zbMath0602.49001OpenAlexW2325207613MaRDI QIDQ1081829

V. A. Yakubovich

Publication date: 1985

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00968972

zbMATH Keywords

minimizing sequencetime-invariantimpulsive optimal controlsoptimal open-loop and closed- loop controlsingular linear-quadratic optimal control

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Linear systems in control theory (93C05) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving ordinary differential equations (49J15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (3)

Lur'e equations and even matrix pencils ⋮ Theory of optimal control in the works of V.A. Yakubovich ⋮ A structure‐preserving doubling algorithm for Lur'e equations

Cites Work

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• Singular perturbations and order reduction in control theory - an overview
• LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E IN AUTOMATIC CONTROL
• The Singular Steady State Linear Regulator
• Regulation in linear systems with partially bounded inputs
• Output regulation with bounded energy

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