An example for the switching delay feedback stabilization of an infinite dimensional system: The boundary stabilization of a string
Gugat M, Tucsnak M (2011)
Publication Type: Journal article
Publication year: 2011
Journal
Publisher: Elsevier
Book Volume: 60
Pages Range: 226-230
Journal Issue: 4
DOI: 10.1016/j.sysconle.2011.01.004
Open Access Link: http://www.sciencedirect.com/science/article/pii/S0167691111000193
Abstract
For vibrating systems, a delay in the application of a feedback control may destroy the stabilizing effect of the control. In this paper we consider a vibrating string that is fixed at one end and stabilized with a boundary feedback with delay at the other end.
We show that certain delays in the boundary feedback preserve the exponential stability of the system. In particular, we show that the system is exponentially stable with delays freely switching between the values 4Lc and 8Lc, where L is the length of the string and c is the wave speed. © 2011 Elsevier B.V. All rights reserved.
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France (FR)How to cite
APA:
Gugat, M., & Tucsnak, M. (2011). An example for the switching delay feedback stabilization of an infinite dimensional system: The boundary stabilization of a string. Systems & Control Letters, 60(4), 226-230. https://doi.org/10.1016/j.sysconle.2011.01.004
MLA:
Gugat, Martin, and Marius Tucsnak. "An example for the switching delay feedback stabilization of an infinite dimensional system: The boundary stabilization of a string." Systems & Control Letters 60.4 (2011): 226-230.
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