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Rapid and finite-time boundary stabilization of a KdV system

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arxiv 2409.11768 v1 pith:D7WABBGN submitted 2024-09-18 math.OC

Hoai-Minh Nguyen This is my paper · ORCID
classification math.OC
keywords controlfeedbackboundarystabilizationsystemconstructdynamicfinite-time
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We construct a static feedback control in a trajectory sense and a dynamic feedback control to obtain the local rapid boundary stabilization of a KdV system using Gramian operators. We also construct a time-varying feedback control in the trajectory sense and a time varying dynamic feedback control to reach the local finite-time boundary stabilization for the same system.

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  1. Turnpike property of linear quadratic control problems with unbounded control operators

    math.OC 2025-06 conditional novelty 8.0 of 10

    For linear quadratic control problems with unbounded admissible control operators, under finite-time observability and a coercivity condition, optimal states, adjoints, and controls stay exponentially close to the ste...

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