Article information

2011 , Volume 16, ¹ 5, p.50-56

Zhainakov A.Z., Ashirbaev B.Y.

Asymptotic solution of one singularly perturbed optimal control problem using the integral manifold

This paper proposes an approximate method of determining the optimal control, which is based on the separation of fast and slow components of the vector state used in the method of integral manifolds. It allows consideration of the "truncated" lower order system instead of the original system that has a higher order dimension

[full text]
Keywords: Singularly perturbed problem, integral manifold, hamiltonian, conjugated system, boundary layer, quick and slow motions

Author(s):
Zhainakov Amanbek Zhainakovich
Dr. , Academician RAS, Professor
Position: Professor
Office: Kyrgyz State University of Geology, Mining and Development of Natural Resources named after Academician UsengazyAsanaliev
Address: 720002, Kyrgyzstan, Bishkek
Phone Office: (996) 312-61-29-08
E-mail: Jainakov-41@mail.ru

Ashirbaev Beishembek Ybyshevic
PhD. , Associate Professor
Position: Associate Professor
Office: Kyrgyz State Technical University named after I. Razzakov
Address: 720038, Kyrgyzstan, Bishkek
E-mail: Ashirbaev-58@mail.ru


Bibliography link:
Zhainakov A.Z., Ashirbaev B.Y. Asymptotic solution of one singularly perturbed optimal control problem using the integral manifold // Computational technologies. 2011. V. 16. ¹ 5. P. 50-56
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