Structure of minimizers in linear-quadratic Bolza problems of optimal control

DOI10.1007/BF00939576zbMath0681.49022OpenAlexW1991491047MaRDI QIDQ1823459

Jacob Kogan

Publication date: 1989

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00939576

zbMATH Keywords

Pontryagin maximum principleintersections of extremalsLegendre quadratic formlinear-quadratic Bolza problem

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15) Controllability, observability, and system structure (93B99)

Related Items (1)

On the robustness of linear stabilizing feedback control for linear uncertain systems: Multi-input case

Cites Work

• Sufficient conditions for a strong relative minimum in an optimal control problem
• Intersections of extremals in linear-quadratic control problems
• Optimal control theory
• Optimality of extremals for linear systems with quadratic costs
• Applications of the theory of quadratic forms in Hilbert space to the calculus of variations
• Structure of Extremals in Optimal Control Problems
• Limits of propriety for linear-quadratic regulator problems
• Sufficient Conditions for Optimality and the Justification of the Dynamic Programming Method
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