Abstract
We consider here a wide class of control problems for quasilinear oscillatory and rotatory systems on an asymptotically large time interval by applying a small control force. We develop an approximate solution technique based on the combination of Pontryagin’s maximum principle [131, 40] and the asymptotic methods of nonlinear mechanics [38, 149, 150, 35, 36, 45, 74, 98, 119, 137]. Some problems which can be interpreted in terms of mechanics are investigated to a first approximation.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Akulenko, L.D. (1994). Averaging Method in Optimal Control Problems for Quasilinear Oscillatory Systems. In: Problems and Methods of Optimal Control. Mathematics and Its Applications, vol 286. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1194-2_1
Download citation
DOI: https://doi.org/10.1007/978-94-011-1194-2_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4522-3
Online ISBN: 978-94-011-1194-2
eBook Packages: Springer Book Archive