Sufficient optimality conditions in hierarchical models of nonuniform systems

Гурман, В. И.; Rasina, I. V.

doi:10.1134/s0005117913120023

Cited by 4 publications

(2 citation statements)

References 6 publications

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“…1) [9,10] where interconnected operators are 2-spin sub chains. This opens the opportunity to investigate it through application optimality conditions for the discrete-continuous models of net structure [10].…”

Section: Application To the N-spin Chainmentioning

confidence: 99%

Optimization of processes in a spin chain

Гурман

Rasina

2014

Autom Remote Control

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There are considered the problems of optimal excitation transfer in spin chains on the base of Shrödinger equation for different types of Hamiltonians containing linear control. Exact analytic solutions for the Landau-Zener model and like 2-spin systems are obtained via double transformation to derived system known from the theory of degenerate problems. An approach to application of these solutions for the investigation of multi-spin chains is proposed.

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Section: Application To the N-spin Chainmentioning

confidence: 99%

Optimization of processes in a spin chain

Гурман

Rasina

2014

Autom Remote Control

Self Cite

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“…These methods found a wide and effective application in solving some optimal control problems of large dimension and of various complexities [12][13][14][15][16][17][18][19][20][21][22][23]. Note that our works [24][25][26] were also devoted to the solution of optimal control problems.…”

Section: Introductionmentioning

confidence: 99%

Sentiment Analysis of Kaspi Product Reviews

Kalimoldayev¹,

Jenaliyev²,

Abdildayeva³

et al. 2021

SPM

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This article discusses the study of problems of optimal control for electric power systems. The numerical solution of optimal control problems for complex electric power systems using an iterative algorithm is shown. Also considered are issues of solving the optimal control of a nonlinear system of ordinary differential equations in two different cases. The proposed solution methods follow the principle of continuation of extremal problems based on sufficient conditions for optimality of V. F. Krotov. A special case of optimal control problems is considered. Numerical experiments showed sufficient efficiency of the implemented algorithms. The problem of optimal motion control of a two-system electric power system is graphically illustrated in the proposed numerical example.

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