A control problem for clamped extensible beams

DOI10.1080/00036818808839758zbMath0653.49016OpenAlexW2042952006WikidataQ58295706 ScholiaQ58295706MaRDI QIDQ3799242

Ricardo Torrejón, Jiong-min Yong

Publication date: 1988

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818808839758

zbMATH Keywords

weak bang-bang principleExistence and uniqueness of mild solutionsKirchhoff-plate with clamped edgesPontryagin-minimum principle

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Nonlinear systems in control theory (93C10) Vibrations in dynamical problems in solid mechanics (74H45) Second-order nonlinear hyperbolic equations (35L70) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Partial differential equations of mathematical physics and other areas of application (35Q99) Existence theories for optimal control problems involving partial differential equations (49J20) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (1)

Existence theory of optimal controls for distributed parameter systems

Cites Work

• Optimal control theory
• On a new class of nonlinear wave equations
• Free vibrations and dynamic buckling of the extensible beam
• Initial-boundary value problems for an extensible beam
• Upper and lower bounds of the norm of solutions of differential equations
• Optimal Control for Variational Inequalities
• Nonlinear initial-boundary value problems
• On global classical solutions of a nonlinear wave equation

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