Stability of 2-D distributed processes with time-variant communication delays

Peter H. Bauer; Mihail L. Sichitiu; Kamal Premaratne

doi:10.1109/ISCAS.2001.921116

Stability of 2-D distributed processes with time-variant communication delays

Peter H. Bauer, Mihail L. Sichitiu, Kamal Premaratne

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 Scopus citations

Abstract

Motivated by the applications of parallel and distributed computing in m-D systems, this paper analyzes the effect of time-variant communication delays on the stability of 2-D systems. The time-variant communication delays are at first modeled and then used in the formulation of the 2-D Roesser local state space model. The arising overall dynamic system model is of uncertain, shift-variant form and it is described by finite uncertainty sets. The result is a sufficient condition for stability of the described process.

Original language	English (US)
Title of host publication	ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings
Pages	497-500
Number of pages	4
DOIs	https://doi.org/10.1109/ISCAS.2001.921116
State	Published - Dec 1 2001
Externally published	Yes
Event	2001 IEEE International Symposium on Circuits and Systems, ISCAS 2001 - Sydney, NSW, Australia Duration: May 6 2001 → May 9 2001

Publication series

Name	ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings
Volume	2

Conference

Conference	2001 IEEE International Symposium on Circuits and Systems, ISCAS 2001
Country/Territory	Australia
City	Sydney, NSW
Period	5/6/01 → 5/9/01

ASJC Scopus subject areas

Hardware and Architecture
Electrical and Electronic Engineering
Electronic, Optical and Magnetic Materials

Access to Document

10.1109/ISCAS.2001.921116

Cite this

Bauer, P. H., Sichitiu, M. L., & Premaratne, K. (2001). Stability of 2-D distributed processes with time-variant communication delays. In ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings (pp. 497-500). [921116] (ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings; Vol. 2). https://doi.org/10.1109/ISCAS.2001.921116

Stability of 2-D distributed processes with time-variant communication delays. / Bauer, Peter H.; Sichitiu, Mihail L.; Premaratne, Kamal.

ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings. 2001. p. 497-500 921116 (ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Bauer, PH, Sichitiu, ML & Premaratne, K 2001, Stability of 2-D distributed processes with time-variant communication delays. in ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings., 921116, ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings, vol. 2, pp. 497-500, 2001 IEEE International Symposium on Circuits and Systems, ISCAS 2001, Sydney, NSW, Australia, 5/6/01. https://doi.org/10.1109/ISCAS.2001.921116

Bauer PH, Sichitiu ML, Premaratne K. Stability of 2-D distributed processes with time-variant communication delays. In ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings. 2001. p. 497-500. 921116. (ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings). https://doi.org/10.1109/ISCAS.2001.921116

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AB - Motivated by the applications of parallel and distributed computing in m-D systems, this paper analyzes the effect of time-variant communication delays on the stability of 2-D systems. The time-variant communication delays are at first modeled and then used in the formulation of the 2-D Roesser local state space model. The arising overall dynamic system model is of uncertain, shift-variant form and it is described by finite uncertainty sets. The result is a sufficient condition for stability of the described process.

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Stability of 2-D distributed processes with time-variant communication delays

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