The strict dissipativity synthesis problem and the rank of the coupling QDF

M.N. Belur; H.L. Trentelman

doi:10.1016/j.sysconle.2003.08.009

The strict dissipativity synthesis problem and the rank of the coupling QDF

M.N. Belur, H.L. Trentelman

Systems, Control and Applied Analysis

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Abstract

The problem of existence of a controlled behavior that is strictly dissipative with respect to a quadratic supply rate is studied. The relation between strictness and the rank of a suitable coupling condition that combines the dissipativity properties of the hidden behavior and the orthogonal complement of the plant behavior is analyzed. (C) 2003 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	247-258
Number of pages	12
Journal	Systems & Control Letters
Volume	51
Issue number	3-4
DOIs	https://doi.org/10.1016/j.sysconle.2003.08.009
Publication status	Published - Mar-2004

Keywords

behaviors
strict dissipativity
quadratic differential forms
coupling condition
rank
storage function
QUADRATIC DIFFERENTIAL FORMS
SYSTEMS
FEEDBACK

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abstract = "The problem of existence of a controlled behavior that is strictly dissipative with respect to a quadratic supply rate is studied. The relation between strictness and the rank of a suitable coupling condition that combines the dissipativity properties of the hidden behavior and the orthogonal complement of the plant behavior is analyzed. (C) 2003 Elsevier B.V. All rights reserved.",

keywords = "behaviors, strict dissipativity, quadratic differential forms, coupling condition, rank, storage function, QUADRATIC DIFFERENTIAL FORMS, SYSTEMS, FEEDBACK",

author = "M.N. Belur and H.L. Trentelman",

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AU - Trentelman, H.L.

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N2 - The problem of existence of a controlled behavior that is strictly dissipative with respect to a quadratic supply rate is studied. The relation between strictness and the rank of a suitable coupling condition that combines the dissipativity properties of the hidden behavior and the orthogonal complement of the plant behavior is analyzed. (C) 2003 Elsevier B.V. All rights reserved.

AB - The problem of existence of a controlled behavior that is strictly dissipative with respect to a quadratic supply rate is studied. The relation between strictness and the rank of a suitable coupling condition that combines the dissipativity properties of the hidden behavior and the orthogonal complement of the plant behavior is analyzed. (C) 2003 Elsevier B.V. All rights reserved.

KW - behaviors

KW - strict dissipativity

KW - quadratic differential forms

KW - coupling condition

KW - rank

KW - storage function

KW - QUADRATIC DIFFERENTIAL FORMS

KW - SYSTEMS

KW - FEEDBACK

U2 - 10.1016/j.sysconle.2003.08.009

DO - 10.1016/j.sysconle.2003.08.009

M3 - Article

SN - 0167-6911

VL - 51

SP - 247

EP - 258

JO - Systems & Control Letters

JF - Systems & Control Letters

IS - 3-4

ER -

The strict dissipativity synthesis problem and the rank of the coupling QDF

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Keywords

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