A Method for Solving a Local Boundary-Value Problem for a Nonlinear Controlled System

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A Method for Solving a Local Boundary-Value Problem for a Nonlinear Controlled System. / Kvitko, A. N. .

In: Automation and Remote Control, Vol. 81, No. 2, 02.2020, p. 236–246 .

Research output: Contribution to journal › Article

BibTeX

@article{5962d55bddcb4955b58ec99638b68bd9,

title = "A Method for Solving a Local Boundary-Value Problem for a Nonlinear Controlled System",

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 = "BOUNDARY CONDITIONS, CONTROLLABILITY, stabilization",

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

note = "Kvitko, A.N. A Method for Solving a Local Boundary-Value Problem for a Nonlinear Controlled System. Autom Remote Control 81, 236–246 (2020). https://doi.org/10.1134/S0005117920020046",

year = "2020",

month = feb,

language = "English",

volume = "81",

pages = "236–246 ",

journal = "Automation and Remote Control",

issn = "0005-1179",

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

number = "2",

}

RIS

TY - JOUR

T1 - A Method for Solving a Local Boundary-Value Problem for a Nonlinear Controlled System

AU - Kvitko, A. N.

N1 - Kvitko, A.N. A Method for Solving a Local Boundary-Value Problem for a Nonlinear Controlled System. Autom Remote Control 81, 236–246 (2020). https://doi.org/10.1134/S0005117920020046

PY - 2020/2

Y1 - 2020/2

N2 - 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.

AB - 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.

KW - BOUNDARY CONDITIONS

KW - CONTROLLABILITY

KW - stabilization

UR - https://link.springer.com/article/10.1134/S0005117920020046

UR - https://elibrary.ru/item.asp?id=43261842

M3 - Article

VL - 81

SP - 236

EP - 246

JO - Automation and Remote Control

JF - Automation and Remote Control

SN - 0005-1179

IS - 2

ER -

ID: 71180735