Stability of slowly varying spatiotemporal systems

Azeem Sarwar; Petros G. Voulgaris; Srinivasa M. Salapaka

doi:10.1109/CDC.2008.4739383

Stability of slowly varying spatiotemporal systems

Azeem Sarwar, Petros G. Voulgaris, Srinivasa M. Salapaka

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

Abstract

A characterization of stability for slowly varying spatiotemporal systems based on input-output description of the plant and controller is presented. This approach generalizes the results developed for the standard case for slowly timevarying systems. The controller design is based on frozen spatially and temporally invariant descriptions of the plant. In particular, we consider the case where the controllers are not necessarily adjusted for every instance in space and time, and hence are used for some fixed window in time and space before new controllers are implemented. It is shown that the actual spatiotemporally varying system can be stabilized using frozen in space and time controllers, provided the variations in the spatiotemporal dynamics are sufficiently small.

Original language	English (US)
Title of host publication	Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1448-1453
Number of pages	6
ISBN (Print)	9781424431243
DOIs	https://doi.org/10.1109/CDC.2008.4739383
State	Published - 2008
Event	47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico Duration: Dec 9 2008 → Dec 11 2008

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	47th IEEE Conference on Decision and Control, CDC 2008
Country/Territory	Mexico
City	Cancun
Period	12/9/08 → 12/11/08

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Online availability

10.1109/CDC.2008.4739383

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Sarwar, A., Voulgaris, P. G., & Salapaka, S. M. (2008). Stability of slowly varying spatiotemporal systems. In Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008 (pp. 1448-1453). Article 4739383 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2008.4739383

Stability of slowly varying spatiotemporal systems. / Sarwar, Azeem; Voulgaris, Petros G.; Salapaka, Srinivasa M.
Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. Institute of Electrical and Electronics Engineers Inc., 2008. p. 1448-1453 4739383 (Proceedings of the IEEE Conference on Decision and Control).

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

Sarwar, A, Voulgaris, PG & Salapaka, SM 2008, Stability of slowly varying spatiotemporal systems. in Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008., 4739383, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 1448-1453, 47th IEEE Conference on Decision and Control, CDC 2008, Cancun, Mexico, 12/9/08. https://doi.org/10.1109/CDC.2008.4739383

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Stability of slowly varying spatiotemporal systems

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