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Synthesis of state descriptors in the problem of multiprogram stabilization of bilinear systems. / Smirnov, N. V.

In: Mathematical Notes, Vol. 72, No. 3-4, 01.12.2002, p. 495-504.

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@article{a23b5aeec7be44f28417ba3118996c18,
title = "Synthesis of state descriptors in the problem of multiprogram stabilization of bilinear systems",
abstract = "In the present paper, the problem of stabilizing a family of program motions of a bilinear nonstationary system with the help of a nonlinear full-order state descriptor for this system and a nonlinear Luenberger descriptor is considered. Methods to synthesize such descriptors and to construct a multiprogram stabilizing control in the form of nonlinear feedback are suggested. Theorems on sufficient conditions for the existence of a solution of the above problem are proved.",
keywords = "Bilinear nonstationary system, Multiprogram stabilizing control, Nonlinear feedback, Nonlinear full-order state descriptor, Nonlinear Luenberger descriptor",
author = "Smirnov, {N. V.}",
year = "2002",
month = dec,
day = "1",
doi = "10.1023/A:1020584328739",
language = "English",
volume = "72",
pages = "495--504",
journal = "Mathematical Notes",
issn = "0001-4346",
publisher = "Pleiades Publishing",
number = "3-4",

}

RIS

TY - JOUR

T1 - Synthesis of state descriptors in the problem of multiprogram stabilization of bilinear systems

AU - Smirnov, N. V.

PY - 2002/12/1

Y1 - 2002/12/1

N2 - In the present paper, the problem of stabilizing a family of program motions of a bilinear nonstationary system with the help of a nonlinear full-order state descriptor for this system and a nonlinear Luenberger descriptor is considered. Methods to synthesize such descriptors and to construct a multiprogram stabilizing control in the form of nonlinear feedback are suggested. Theorems on sufficient conditions for the existence of a solution of the above problem are proved.

AB - In the present paper, the problem of stabilizing a family of program motions of a bilinear nonstationary system with the help of a nonlinear full-order state descriptor for this system and a nonlinear Luenberger descriptor is considered. Methods to synthesize such descriptors and to construct a multiprogram stabilizing control in the form of nonlinear feedback are suggested. Theorems on sufficient conditions for the existence of a solution of the above problem are proved.

KW - Bilinear nonstationary system

KW - Multiprogram stabilizing control

KW - Nonlinear feedback

KW - Nonlinear full-order state descriptor

KW - Nonlinear Luenberger descriptor

UR - http://www.scopus.com/inward/record.url?scp=0141625249&partnerID=8YFLogxK

U2 - 10.1023/A:1020584328739

DO - 10.1023/A:1020584328739

M3 - Article

AN - SCOPUS:0141625249

VL - 72

SP - 495

EP - 504

JO - Mathematical Notes

JF - Mathematical Notes

SN - 0001-4346

IS - 3-4

ER -

ID: 36125561