Dynamic programming approach to the optimal control of systems governed by Goursat-Darboux equations
Author:
Affiliation:
1. a Department of Mathematics , University of Alabama , Tuscaloosa, AL, 35487, U.S.A
Publisher
Informa UK Limited
Subject
Computer Science Applications,Control and Systems Engineering
Link
https://www.tandfonline.com/doi/pdf/10.1080/00207179008934133
Reference18 articles.
1. The Pontryagin maximum principle from dynamic programming and viscosity solutions to first-order partial differential equations
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1. On the numerical scheme of a 2D optimal control problem with the hyperbolic system via Bernstein polynomial basis;Transactions of the Institute of Measurement and Control;2018-09-18
2. 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;Journal of Computational and Applied Mathematics;2016-10
3. Optimal control of Volterra integral equations in two independent variables;Applied Mathematics and Computation;2008-08
4. Optimal control of Goursat–Darboux systems with discontinuous co-state;Applied Mathematics and Computation;2007-03
5. A maximum principle approach to optimal control for one-dimensional hyperbolic systems with several state variables;Journal of the Franklin Institute;2006-07
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