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Avtomatika i Telemekhanika, 2020, Issue 2, Pages 48–61
DOI: https://doi.org/10.31857/S000523102002004X (Mi at15101) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Nonlinear Systems

A method for solving a local boundary-value problem for a nonlinear controlled system

A. N. Kvitko

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (698 kB) Citations (2)
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DOI: https://doi.org/10.31857/S000523102002004X
Abstract: A wide class of nonlinear time-invariant systems of ordinary differential equations is considered. A rather convenient algorithm for constructing a differentiable control function that performs a guaranteed transition of such systems from an initial state to a given terminal state of the state space under control constraints is proposed. A constructive criterion that guarantees the above-mentioned translation is obtained. The efficiency of this algorithm is illustrated by numerical solution of a specific practical problem.
Keywords: controllability, boundary conditions, stabilization.
Presented by the member of Editorial Board: M. M. Khrustalev

Received: 16.07.2018
Revised: 23.06.2019
Accepted: 18.07.2019
English version:
Automation and Remote Control, 2020, Volume 81, Issue 2, Pages 236–246
DOI: https://doi.org/10.1134/S0005117920020046
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. N. Kvitko, “A method for solving a local boundary-value problem for a nonlinear controlled system”, Avtomat. i Telemekh., 2020, no. 2, 48–61; Autom. Remote Control, 81:2 (2020), 236–246
Citation in format AMSBIB
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\paper A method for solving a local boundary-value problem for a nonlinear controlled system
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\pages 48--61
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\jour Autom. Remote Control
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\pages 236--246
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Linking options:
  • https://www.mathnet.ru/eng/at15101
  • https://www.mathnet.ru/eng/at/y2020/i2/p48
    • This publication is cited in the following 2 articles:
    1. M. P. Eshov, N. N. Kodirov, T. K. Yuldashev, “Zadachi optimizatsii v obyknovennykh avtonomnykh sistemakh pervogo poryadka”, Materialy Voronezhskoi mezhdunarodnoi zimnei matematicheskoi shkoly «Sovremennye metody teorii funktsii i smezhnye problemy», Voronezh, 27 yanvarya — 1 fevralya 2023 g. Chast 1, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 227, VINITI RAN, M., 2023, 92–99  mathnet  crossref
    2. T. K. Yuldashev, G. K. Abdurakhmanova, “Optimizatsiya teplovykh protsessov v nelokalnoi zadache s funktsiei pereopredeleniya pri integralnom uslovii”, Materialy Voronezhskoi mezhdunarodnoi zimnei matematicheskoi shkoly «Sovremennye metody teorii funktsii i smezhnye problemy», Voronezh, 27 yanvarya — 1 fevralya 2023 g. Chast 3, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 229, VINITI RAN, M., 2023, 120–130  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :52
    References:48
    First page:22
     
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