Convergence of a strong variational algorithm for relaxed controls involving a class of hyperbolic systems

DOI10.1007/BF00935327zbMath0505.49015OpenAlexW2029262839MaRDI QIDQ1836383

Yanyan Li

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf00935327

zbMATH Keywords

relaxed controlDarboux boundary conditionsstrong variational algorithm

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Numerical methods based on necessary conditions (49M05) Control/observation systems governed by partial differential equations (93C20) Linear systems in control theory (93C05) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (4)

Convergence of a feasible directions algorithm for relaxed controls in time-lag systems ⋮ Mixed Frank-Wolfe penalty method with applications to nonconvex optimal control problems ⋮ Convex optimal control problem involving a class of linear hyperbolic systems with constraints ⋮ Convergence of a conditional gradient method for relaxed controls in time-lag control problems

Cites Work

• Unnamed Item
• Unnamed Item
• First-order strong variation algorithm for optimal control problems involving hyperbolic systems
• Existence theorems for optimization problems concerning linear, hyperbolic partial differential equations without convexity conditions
• A conditional gradient method for an optimal control problem involving a class of nonlinear second-order hyperbolic partial differential equations
• Existence theorems for optimization problems concerning hyperbolic partial differential equations
• Relaxed Controls and the Convergence of Optimal Control Algorithms
• Necessary Conditions for Optimization Problems with Hyperbolic Partial Differential Equations

This page was built for publication: Convergence of a strong variational algorithm for relaxed controls involving a class of hyperbolic systems