Minimization of a quadratic cost functional for a class of single-input bilinear control systems

DOI10.1080/00207178508933351zbMath0599.93024OpenAlexW2071348948MaRDI QIDQ3735579

N. J. Buckingham, E. P. Ryan

Publication date: 1985

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178508933351

zbMATH Keywords

second-order systemsquadratic cost functionalconstrained scalar bilinear control systemsStalford sufficient conditions

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (2)

Geometrical and topological methods in optimal control theory ⋮ Feedback solution of a class of optimal bilinear control problems

Cites Work

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• Bilinear control processes. With applications to engineering, ecology, and medicine
• Sufficient conditions for optimal control with state and control constraints
• On asymptotically stabilizing feedback control of bilinear systems
• An Overview of Bilinear System Theory and Applications
• Optimization of bilinear control systems
• Variable structure systems with sliding modes
• Stabilization of Bilinear Control Systems with Applications to Nonconservative Problems in Elasticity
• Bilinear systems: An appealing class of "nearly linear" systems in theory and applications
• Sufficient Conditions for Optimality and the Justification of the Dynamic Programming Method

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