Necessary and sufficient conditions for the optimal control of distributed parameter systems subject to integral constraints

DOI10.1016/0016-0032(88)90033-6zbMath0655.49015OpenAlexW2010417749MaRDI QIDQ1109327

Ibrahim S. Sadek

Publication date: 1988

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(88)90033-6

zbMATH Keywords

maximum principledistributed controlvibrations of structures

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Vibrations in dynamical problems in solid mechanics (74H45) Higher-order hyperbolic equations (35L25)

Related Items (11)

Active piezoelectric vibration control for a Timoshenko beam ⋮ Active control of a smart beam with time delay by Legendre wavelets ⋮ Necessary and sufficient conditions of optimality for a damped hyperbolic equation in one-space dimension ⋮ A nonlinear plate control without linearization ⋮ Active control of flexible systems by a mathematical programming approach ⋮ Optimal control of a class of time-delayed distributed systems by orthogonal functions ⋮ Optimal forced vibration control of a smart plate ⋮ Active control of an improved Boussinesq system ⋮ Optimal active pointwise control of thin plates via state-control parametrization ⋮ Optimal active pointwise control of vibrating thin plates ⋮ Modelling techniques for optimal control of distributed parameter systems

Cites Work

• Transcendental numbers and fractal functions in problems of finite control of distributed systems
• Recent advances in the study of distributed parameter systems
• Optimal control of a Timoshenko beam by distributed forces
• Structural control to minimize the dynamic response of Mindlin-Timoshenko plates
• Control of the dynamic response of a damped membrane by distributed forces
• A mathematical model for linear elastic systems with structural damping
• Distributed control of layered orthotropic plates with damping
• The Maximum Principle under Minimal Hypotheses
• Necessary and Sufficient Optimality Conditions for a Class of Distributed Parameter Control Systems
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