Dynamic programming approach to the optimal control of systems governed by Goursat-Darboux equations

DOI10.1080/00207179008934133zbMath0701.49031OpenAlexW2049368234MaRDI QIDQ3479113

S. A. Belbas

Publication date: 1990

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179008934133

zbMATH Keywords

maximum principletwo-dimensional timeGoursat-Darboux systemsgas absorptiondrying processessemi- dynamic programming

Mathematics Subject Classification ID

Related Items (6)

The optimal control problem in the processes described by the Goursat problem for a hyperbolic equation in variable exponent Sobolev spaces with dominating mixed derivatives ⋮ Optimal control of Goursat-Darboux systems with discontinuous co-state ⋮ A maximum principle approach to optimal control for one-dimensional hyperbolic systems with several state variables ⋮ Optimal control of Volterra integral equations in two independent variables ⋮ Dynamic programming and maximum principle for discrete Goursat systems ⋮ Optimal Control of Structural Dynamic Systems in One Space Dimension Using a Maximum Principle

Cites Work

• Optimization of systems governed by hyperbolic partial differential equations with equality and inequality constraints
• Hamilton-Jacobi equations in infinite dimensions. I: Uniqueness of viscosity solutions
• Stochastic integrals in the plane
• Optimization with partial differential equations in Dieudonne-Rashevsky form and conjugate problems
• State-space realization and inversion of 2-D systems
• On optimal control of processes in distributed objects
• On a class of games with incomplete connections
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