Time optimal controls for semilinear distributed parameter systems. Existence theory and necessary conditions

DOI10.2996/kmj/1138039397zbMath0764.49014OpenAlexW2081144738MaRDI QIDQ1192243

Jiong-min Yong

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.2996/kmj/1138039397

zbMATH Keywords

maximum principletime-optimal controlexistence of admissible trajectoriesstate-dependent control domainstate-independent control domain

Mathematics Subject Classification ID

Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for problems in abstract spaces (49K27)

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Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Optimal control theory
• The time-optimal control problem in Banach spaces
• Infinite dimensional linear systems theory
• A unified theory of necessary conditions for nonlinear nonconvex control systems
• Averaged norms
• Measurable multifunctions, selectors, and Filippov's implicit functions lemma
• Strict Convexity and Smoothness of Normed Spaces
• Necessary Conditions for Optimal Control of Distributed Parameter Systems
• Optimization and nonsmooth analysis
• Nonconvex minimization problems
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