Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4643116 | Journal of Computational and Applied Mathematics | 2006 | 9 Pages |
Abstract
In this paper the authors present a necessary condition for minimum of a functional J(z)ââ«0TL(t,z(t),zâ²(t))dt in the case in which the function L is continuous but not of class C1. This situation arises in problems of optimization of hydrothermal systems with pumped-storage plants. In such problems, the function Lzâ²(t,z,·) is discontinuous in zâ²=0, which is the borderline point between the power generation zone (zâ²>0) and the pumping zone (zâ²<0). The problem can be naturally formulated in the framework of nonsmooth analysis, using the generalized (or Clarke's) gradient.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
L. Bayón, J.M. Grau, M.M. Ruiz, P.M. Suárez,