Exponential Decay for the Wave Equation Equipped with a Point Damping Device

Alexander Y. Khapalov
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Alexander Y. Khapalov: Washington State University, Department of Mathematics and Statistics

Chapter Chapter 11 in Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations, 2017, pp 185-201 from Springer

Abstract: Abstract In this chapter we introduce a particular type of degenerate point damping device for the one-dimensional wave equation and show that it can provide its uniform stabilization with exponential decay rate, regardless of the location of this point on the string. Its physical interpretation is explicitly described. We also extend this result to chains of strings.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-60414-5_11

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DOI: 10.1007/978-3-319-60414-5_11

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