On a Method for Solving a Local Boundary Value Problem for a Nonlinear Stationary Controlled System in the Class of Differentiable Controls

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On a Method for Solving a Local Boundary Value Problem for a Nonlinear Stationary Controlled System in the Class of Differentiable Controls. / Kvitko, A. N.

In: Computational Mathematics and Mathematical Physics, Vol. 61, No. 4, 04.2021, p. 527-541.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{5e5f7d4ce79f4ae89ca00fcbff372069,

title = "On a Method for Solving a Local Boundary Value Problem for a Nonlinear Stationary Controlled System in the Class of Differentiable Controls",

abstract = "Abstract: An algorithm, quite convenient for numerical implementation, is proposed for constructing a differentiable control function that guarantees the transfer of a wide class of nonlinear stationary systems of ordinary differential equations from the initial state to a given final state of the phase space, taking into account control constraints and external perturbations. A constructive criterion guaranteeing this transfer is obtained. The efficiency of the algorithm is illustrated by solving a specific practical problem and its numerical simulation.",

keywords = "boundary conditions, controllability, stabilization",

author = "Kvitko, {A. N.}",

note = "Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd.",

year = "2021",

month = apr,

doi = "10.1134/S0965542521040072",

language = "English",

volume = "61",

pages = "527--541",

journal = "Computational Mathematics and Mathematical Physics",

issn = "0965-5425",

publisher = "МАИК {"}Наука/Интерпериодика{"}",

number = "4",

}

RIS

TY - JOUR

T1 - On a Method for Solving a Local Boundary Value Problem for a Nonlinear Stationary Controlled System in the Class of Differentiable Controls

AU - Kvitko, A. N.

PY - 2021/4

Y1 - 2021/4

N2 - Abstract: An algorithm, quite convenient for numerical implementation, is proposed for constructing a differentiable control function that guarantees the transfer of a wide class of nonlinear stationary systems of ordinary differential equations from the initial state to a given final state of the phase space, taking into account control constraints and external perturbations. A constructive criterion guaranteeing this transfer is obtained. The efficiency of the algorithm is illustrated by solving a specific practical problem and its numerical simulation.

AB - Abstract: An algorithm, quite convenient for numerical implementation, is proposed for constructing a differentiable control function that guarantees the transfer of a wide class of nonlinear stationary systems of ordinary differential equations from the initial state to a given final state of the phase space, taking into account control constraints and external perturbations. A constructive criterion guaranteeing this transfer is obtained. The efficiency of the algorithm is illustrated by solving a specific practical problem and its numerical simulation.

KW - boundary conditions

KW - controllability

KW - stabilization

UR - http://www.scopus.com/inward/record.url?scp=85107022287&partnerID=8YFLogxK

U2 - 10.1134/S0965542521040072

DO - 10.1134/S0965542521040072

M3 - Article

AN - SCOPUS:85107022287

VL - 61

SP - 527

EP - 541

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 4

ER -

ID: 95303951