Application of viscosity solutions of infinite-dimensional Hamilton-Jacobi-Bellman equations to some problems in distributed optimal control
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Management Science and Operations Research,Control and Optimization
Link
http://link.springer.com/content/pdf/10.1007/BF00939448.pdf
Reference17 articles.
1. Barron, E. N., Evans, L. C., andJensen, R.,Viscosity Solutions for Isaacs' Equations and Differential Games with Lipschitz Controls, Journal of Differential Equations, Vol. 53, pp. 213?233, 1984.
2. Lions, P. L., andSouganidis, P.,Differential Games, Optimal Control, and Directional Derivatives of Viscosity Solutions of Bellman's and Isaacs' Equations, SIAM Journal of Control and Optimization, Vol. 23, pp. 566?583, 1985.
3. Barron, E. N., andJensen, R.,The Pontryagin Maximum Principle from Dynamic Programming and Viscosity Solutions to First-Order Partial Differential Equations, Transactions of the American Mathematical Society, Vol. 298, pp. 635?641, 1986.
4. Barbu, V., Barron, E. N., andJensen, R.,Necessary Conditions for Optimal Control in Hilbert Spaces, Journal of Mathematical Analysis and Applications, Vol. 133, pp. 151?162, 1988.
5. Crandall, M. G., andLions, P. L.,Hamilton-Jacobi Equations in Infinite Dimensions. Part 1: Uniqueness of Viscosity Solutions, Journal of Functional Analysis, Vol. 62, pp. 379?396, 1985.
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