Stability analysis of the heat equation with time-delayed feedback

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Stability analysis of the heat equation with time-delayed feedback.pdf (215.46 KB)

Date

2009-06

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IFAC Proceedings Volumes (IFAC-PapersOnline)

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1474-6670

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IFAC

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Pages

220 - 224

Language

English

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Conference Paper

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Abstract

In this paper we consider the heat equation with time delayed feedback. Recently, stability analysis of this system, with possibly time-varying delay, is done by Fridman and Orlov (2007, 2009); and a sufficient condition is obtained for stability in terms of a linear matrix inequality. Here we consider the same system, but with constant delay, and perform the stability analysis in the frequency domain. A necessary and sufficient condition is obtained in terms of the system parameters. The result is illustrated with numerical examples. © 2009 IFAC.

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Constant delays, Frequency domains, Heat equation, Numerical example, Stability analysis, Sufficient conditions, Time-delayed feedback, Time-varying delay, Frequency domain analysis, Linear matrix inequalities, Robust control, System stability

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http://hdl.handle.net/11693/28643

Published Version (Please cite this version)

https://doi.org/10.3182/20090616-3-IL-2002.00038

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Scholarly Publications - Electrical and Electronics Engineering