Optimal Coatings, Bang‐Bang Controls, And Gradient Techniques

DOI10.1002/oca.4660080102zbMath0614.49010OpenAlexW2030358105MaRDI QIDQ4721121

Rouben Rostamian, William W. Hager

Publication date: 1987

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.4660080102

zbMATH Keywords

minimax problembang-bang controlsingular controlgradient algorithmviscoelastic coatingssound wave reflection

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence of solutions for minimax problems (49J35) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Methods of reduced gradient type (90C52) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (5)

Dual techniques for constrained optimization ⋮ Reflection and refraction of elastic waves for stratified materials ⋮ Extension of switch point algorithm to boundary-value problems ⋮ The Switch Point Algorithm ⋮ Optimal design of minimally reflective coatings

Cites Work

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• Minimization of functions having Lipschitz continuous first partial derivatives
• Asymptotic stability in viscoelasticity
• Methods of nonlinear analysis. Vol. II
• Optimal distribution of density and dilatation modulus in inhomogeneous layers
• Convergence Rates for Conditional Gradient Sequences Generated by Implicit Step Length Rules
• On the Goldstein-Levitin-Polyak gradient projection method
• Rates of Convergence for Discrete Approximations to Unconstrained Control Problems
• Convex programming in Hilbert space
• A Maximum Principle of the Pontryagin Type for Systems Described by Nonlinear Difference Equations

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