On multi-dissipative dynamic systems

Uffe Høgsbro Thygesen

doi:10.1109/ACC.1999.783148

On multi-dissipative dynamic systems

Uffe Høgsbro Thygesen

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

585 Downloads (Orbit)

Abstract

We consider deterministic dynamic systems with state space representations which are dissipative in the sense of Willems (1972) with respect to several supply rates. This property is of interest in robustness analysis and in multi-objective control. We give conditions under which the convex cone of dissipated supply rates is closed. Furthermore we show convexity and continuity properties of the available storage and required supply as functions of the supply rate.

Original language	English
Title of host publication	Proceeding of the American Control Conference
Publication date	1999
Pages	790-794
ISBN (Print)	0-7803-4990-3
DOIs	https://doi.org/10.1109/ACC.1999.783148
Publication status	Published - 1999
Event	American Control Conference 1999 - San Diego, CA, United States Duration: 2 Jun 1999 → 4 Jun 1999

Conference

Conference	American Control Conference 1999
Country/Territory	United States
City	San Diego, CA
Period	02/06/1999 → 04/06/1999

Bibliographical note

Copyright: 2000 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

Access to Document

10.1109/ACC.1999.783148

HogsbroFinal published version, 470 KB

OpenUrl availability

Check availability in DTU Findit

Cite this

@inproceedings{7b653b603fd54e12b919a07778d83846,

title = "On multi-dissipative dynamic systems",

abstract = "We consider deterministic dynamic systems with state space representations which are dissipative in the sense of Willems (1972) with respect to several supply rates. This property is of interest in robustness analysis and in multi-objective control. We give conditions under which the convex cone of dissipated supply rates is closed. Furthermore we show convexity and continuity properties of the available storage and required supply as functions of the supply rate.",

author = "Thygesen, \{Uffe H{\o}gsbro\}",

note = "Copyright: 2000 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE; American Control Conference 1999, ACC 1999 ; Conference date: 02-06-1999 Through 04-06-1999",

year = "1999",

doi = "10.1109/ACC.1999.783148",

language = "English",

isbn = "0-7803-4990-3",

pages = "790--794",

booktitle = "Proceeding of the American Control Conference",

}

TY - GEN

T1 - On multi-dissipative dynamic systems

AU - Thygesen, Uffe Høgsbro

N1 - Copyright: 2000 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

PY - 1999

Y1 - 1999

N2 - We consider deterministic dynamic systems with state space representations which are dissipative in the sense of Willems (1972) with respect to several supply rates. This property is of interest in robustness analysis and in multi-objective control. We give conditions under which the convex cone of dissipated supply rates is closed. Furthermore we show convexity and continuity properties of the available storage and required supply as functions of the supply rate.

AB - We consider deterministic dynamic systems with state space representations which are dissipative in the sense of Willems (1972) with respect to several supply rates. This property is of interest in robustness analysis and in multi-objective control. We give conditions under which the convex cone of dissipated supply rates is closed. Furthermore we show convexity and continuity properties of the available storage and required supply as functions of the supply rate.

U2 - 10.1109/ACC.1999.783148

DO - 10.1109/ACC.1999.783148

M3 - Article in proceedings

SN - 0-7803-4990-3

SP - 790

EP - 794

BT - Proceeding of the American Control Conference

T2 - American Control Conference 1999

Y2 - 2 June 1999 through 4 June 1999

ER -

On multi-dissipative dynamic systems

Abstract

Conference

Bibliographical note

Access to Document

OpenUrl availability

Fingerprint

Cite this