Boundary Control of the Wave Equation via Linear Quadatic Regulation

2021/01/24 by Arthur J. Krener, Krener, Arthur J.
Computer Science · Engineering · Mathematics · #35L05 #49L20 #93-08 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2101.09610

openalex publication_date 2021/01/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the Linear Quadratic Regulation for the boundary control of the one dimensional linear wave equation under both Dirichlet and Neumann activation. For each activation we present a Riccati partial differential equation that we explicitly solve. The derivation the Riccati partial differential equations is by the simple and explicit technique of completing the square.

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