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Sensor deployment for pipeline leakage detection via optimal boundary control strategies

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  • We consider a multi-agent control problem using PDE techniques for a novel sensing problem arising in the leakage detection and localization of offshore pipelines. A continuous protocol is proposed using parabolic PDEs and then a boundary control law is designed using the maximum principle. Both analytical and numerical solutions of the optimality conditions are studied.
    Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.


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