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Sentinel method and distributed systems with missing data

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Title: Sentinel method and distributed systems with missing data

Authors: Rezzoug Imad, Merabti Nesrine Lamya

Journal: Innovative journal of mathematics

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Year: 2022

Volume: 1

Issue: 2

Language: en

DOI: 10.55059/ijm.2022.1.2/26

Keywords: Parabolic equationApproximate controllabilityPointwise and Weak sentinelPollution term

Categories
Missing Data (8) Distributed Systems (169) Control Theory (29) Sentinel Method (2) Mathematics (5170)

Abstract

In this work, we study an approximate controllability problem with constraint on the control. This problem appears naturally of weak and pointwise sentinel with a small or singleton region observation. The main tool is a theorem of uniqueness of the solution of ill-posed Cauchy problem for the parabolic equation.

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