Optimal synthesis in grid schemes for quasi-convex approximation functions

Autor:	Alexander M. Tarasyev, N.V. Mel'nikova
Rok vydání:	1998
Předmět:	Approximations of π Applied Mathematics Mechanical Engineering Computation Mathematical analysis MathematicsofComputing_NUMERICALANALYSIS Translation (geometry) Grid Optimal control Mechanics of Materials Simple (abstract algebra) Modeling and Simulation Bellman equation Interpolation Mathematics
Zdroj:	Journal of Applied Mathematics and Mechanics. 62:537-544
ISSN:	0021-8928
DOI:	10.1016/s0021-8928(98)00070-7
Popis:	A single grid algorithm which constructs the value function and the optimal synthesis, based on a local quasi-differential approximations of the Hamilton-Jacobi equation, is considered. The optimal synthesis is generated by the method of extremal translation in the direction of generalized gradients. The quasi-convex approximation functions, for which it is possible to use a linear dependence of the space-time steps for correct interpolation of the nodal optimal control values, thus substantially reducing the amount of computation, simplifying the finite-difference formulae and permitting the use of simple operators involving constructions of the method of least squares, are investigated.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::afa5e057afc19dc5da825d885bf7e9a8 https://doi.org/10.1016/s0021-8928(98)00070-7 Zobrazit plný text záznamu Full Text from ScienceDirect