Continuous Observability of the Heat Equation Under a Single Mobile Point Sensor

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

Chapter Chapter 2 in Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations, 2017, pp 13-27 from Springer

Abstract: Abstract In this chapter we consider the problem of continuous observability of the heat equation in Q = Ω × (0, θ), Ω ⊂ R n , θ > 0 in the case when the observation data, obtained from a single mobile point sensor, lie in L ∞ (ɛ, θ), ɛ > 0. The results are then extended to the case of discrete-time scanning sensors. Related approximate controllability results are also discussed.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-60414-5_2

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DOI: 10.1007/978-3-319-60414-5_2

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