期刊
MATHEMATICAL CONTROL AND RELATED FIELDS
卷 -, 期 -, 页码 -出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/mcrf.2023033
关键词
Lyapunov stability; Control of PDEs; IBVP for hyperbolic PDE systems
In this paper, we investigate the feedback stabilization problem for systems described by Hamilton-Jacobi type equations in R-n. By reformulating the problem, a stabilization problem for a multi-dimensional system of n hyperbolic partial differential equations is obtained. Using a novel Lyapunov function that takes into account the multi-dimensional geometry, we prove the stabilization of the resulting system in L(2) through suitable feedback control. We also provide examples based on the forming process to illustrate such systems.
. We are interested in the feedback stabilization of systems described by Hamilton-Jacobi type equations in R-n. A reformulation leads to a stabilization problem for a multi-dimensional system of n hyperbolic partial differential equations. Using a novel Lyapunov function taking into account the multi-dimensional geometry we show stabilization in L(2 )for the arising system using a suitable feedback control. We further present examples of such systems partially based on a forming process.
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