Boundary Control of the Wave Equation via Linear Quadatic Regulation
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Authors
Krener, Arthur J.
Subjects
Advisors
Date of Issue
2021-02-12
Date
Publisher
ArXiv
Language
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.
Type
Preprint
Description
Series/Report No
Department
Applied Mathematics
Organization
Naval Postgraduate School (U.S.)
Identifiers
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Format
17 p.
Citation
Krener, Arthur J. "Boundary Control of the Wave Equation via Linear Quadatic Regulation." arXiv preprint arXiv:2101.09610 (2021).
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.