Necessary and Sufficient Conditions for the Passivicability of Linear Distributed Systems

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Necessary and Sufficient Conditions for the Passivicability of Linear Distributed Systems. / Bondarko, V. A.; Fradkov, A. L.

в: Automation and Remote Control, Том 64, № 4, 03.2003, стр. 517-530.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{f061d030b2204e72848907a44a4c875f,

title = "Necessary and Sufficient Conditions for the Passivicability of Linear Distributed Systems",

abstract = "For a wide class of systems, as is known, hyper-minimal phase is necessary and sufficient for the strict passivicability of a system. This class contains both concentrated- and distributed-parameter systems, including parabolic equations that describe heat-exchange and diffusion processes. Our results are applicable to finite-dimensional input and output spaces, which are important for application and cover systems with different numbers of inputs and outputs for which passivity is superseded by the G-passivity of some rectangular matrix G. An example of a diffusion-type one-dimensional partial differential equation directly containing control is given. Proofs are based on the infinite-dimensional variant of the Yakubovich-Kalman lemma and Nefedov-Sholokhovich exponential stabilization theorem.",

author = "Bondarko, {V. A.} and Fradkov, {A. L.}",

year = "2003",

month = mar,

doi = "10.1023/a:1023230128592",

language = "English",

volume = "64",

pages = "517--530",

journal = "Automation and Remote Control",

issn = "0005-1179",

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

number = "4",

}

RIS

TY - JOUR

T1 - Necessary and Sufficient Conditions for the Passivicability of Linear Distributed Systems

AU - Bondarko, V. A.

AU - Fradkov, A. L.

PY - 2003/3

Y1 - 2003/3

N2 - For a wide class of systems, as is known, hyper-minimal phase is necessary and sufficient for the strict passivicability of a system. This class contains both concentrated- and distributed-parameter systems, including parabolic equations that describe heat-exchange and diffusion processes. Our results are applicable to finite-dimensional input and output spaces, which are important for application and cover systems with different numbers of inputs and outputs for which passivity is superseded by the G-passivity of some rectangular matrix G. An example of a diffusion-type one-dimensional partial differential equation directly containing control is given. Proofs are based on the infinite-dimensional variant of the Yakubovich-Kalman lemma and Nefedov-Sholokhovich exponential stabilization theorem.

AB - For a wide class of systems, as is known, hyper-minimal phase is necessary and sufficient for the strict passivicability of a system. This class contains both concentrated- and distributed-parameter systems, including parabolic equations that describe heat-exchange and diffusion processes. Our results are applicable to finite-dimensional input and output spaces, which are important for application and cover systems with different numbers of inputs and outputs for which passivity is superseded by the G-passivity of some rectangular matrix G. An example of a diffusion-type one-dimensional partial differential equation directly containing control is given. Proofs are based on the infinite-dimensional variant of the Yakubovich-Kalman lemma and Nefedov-Sholokhovich exponential stabilization theorem.

UR - http://www.scopus.com/inward/record.url?scp=84904240014&partnerID=8YFLogxK

U2 - 10.1023/a:1023230128592

DO - 10.1023/a:1023230128592

M3 - Article

AN - SCOPUS:84904240014

VL - 64

SP - 517

EP - 530

JO - Automation and Remote Control

JF - Automation and Remote Control

SN - 0005-1179

IS - 4

ER -

ID: 86196137