Optimal control of the one-dimensional periodic wave equation

DOI10.1007/BF02683321zbMath0866.49028MaRDI QIDQ2365245

Viorel Barbu

Publication date: 8 July 1997

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

zbMATH Keywords

maximum principleswave operator\(L^ \infty\) optimal pairsnecessary and sufficient condition for optimality

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Wave equation (35L05) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (3)

L∞-optimal control of the periodic 1-D wave equation with x-dependent coefficients ⋮ Optimal control of nonlinear one-dimensional periodic wave equation with \(x\)-dependent coefficients ⋮ Optimal control of the periodic string equation with internal control

Cites Work

• Analysis and control of nonlinear infinite dimensional systems
• Periodic optimal control in Hilbert space
• Integrals which are convex functionals. II
• Periodic solutions of nonlinear vibrating strings and duality principles
• Forced vibrations for a nonlinear wave equation
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations

This page was built for publication: Optimal control of the one-dimensional periodic wave equation