Necessary Conditions for Optimal Control of Distributed Parameter Systems
Authors:
- Xunjing LiXLXunjing Li
- Jiongmin YongJYJiongmin Yong
- 1 July 1991
- journal article
- research article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control and Optimization
- Vol. 29 (4) , 895-908
Abstract
The Ekeland variational principle is used to prove a maximum principle for the optimal controls of a general semilinear evolutionary control system in a Banach space with strictly convex dual. The boundary constraint is of general type which includes the optimal periodic control problem as a special case.Keywords
This publication has 19 references indexed in Scilit:
- Nonlinear Functional Analysis1985
- Infinite Dimensional Linear Systems Theory1978
- The Maximum Principle under Minimal HypothesesSIAM Journal on Control and Optimization, 1976
- Geometry of Banach Spaces-Selected Topics1975
- Optimal Control Theory1974
- Normed Linear Spaces1973
- Control of Functional Differential Equations of Retarded and Neutral Type to Target Sets in Function SpaceSIAM Journal on Control, 1972
- Fréchet differentiability of convex functionsActa Mathematica, 1968
- Averaged normsIsrael Journal of Mathematics, 1967
- Strict convexity and smoothness of normed spacesTransactions of the American Mathematical Society, 1955