Abstract
We propose and justify algorithms for partial and complete averaging of systems of discrete equations and inclusions. On the basis of the averaging schemes obtained, we construct algorithms for the numerical asymptotic solution of problems of optimal control for discrete systems.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
N. N. Moiseev (1981) Asymptotic Methods of Nonlinear Mechanics Nauka Moscow
V. A. Plotnikov (1978) ArticleTitleAveraging method for differential inclusions and its application to problems of optimal control Differents. Uravn. 8 1427–1433
V. A. Plotnikov (1992) Averaging Method in Control Problems Lybid’ Kiev-Odessa
V. A. Plotnikov A. V. Plotnikov A. N. Vityuk (1999) Differential Equations with Multivalued Right-Hand Side. Asymptotic Methods Astroprint Odessa
F. L. Chernous’ko L. D. Akulenko B. N. Sokolov (1980) Control of Oscillations Nauka Moscow
A. N. Filatov (1974) Asymptotic Methods in the Theory of Differential and Integro-Differential Equations Fan Tashkent
Author information
Authors and Affiliations
Additional information
Translated from Neliniini Kolyvannya, Vol. 7, No. 2, pp. 241–254, April–June, 2004.
Rights and permissions
About this article
Cite this article
Plotnikov, V.A., Plotnikova, L.I. & Yarovoi, A.T. Averaging method for discrete systems and its application to control problems. Nonlinear Oscill 7, 240–253 (2004). https://doi.org/10.1007/s11072-005-0009-7
Received:
Issue Date:
DOI: https://doi.org/10.1007/s11072-005-0009-7