Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions
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| Format: | Artículo científico |
| Langue: | en |
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Vilniaus Universitetas
2021
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| _version_ | 1876473647458156544 |
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| author | Ionu¸t Munteanu |
| author_facet | Ionu¸t Munteanu |
| contents | Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions Ionu¸t Munteanu Matemáticas eigenvalue feedback control parabolic equations Exponential stabilization nonlocal initial conditions The present paper is devoted to the problem of stabilization of the one-dimensional semilinear heat equation with nonlocal initial conditions. The control is with boundary actuation. It is linear, of finite-dimensional structure, given in an explicit form. It allows to write the corresponding solution of the closed-loop equation in a mild formulation via a kernel, then to apply a fixed point argument in a convenient space 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694173172007 https://www.redalyc.org/journal/6941/694173172007/ https://www.redalyc.org/journal/6941/694173172007/html/ https://www.redalyc.org/journal/6941/694173172007/694173172007.epub https://www.redalyc.org/journal/6941/694173172007/movil https://doi.org/10.15388/namc.2021.26.24809 en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.6 Vol.26 |
| format | Artículo científico |
| id | redalyc_694173172007 |
| institution | Redalyc |
| language | en |
| publishDate | 2021 |
| publisher | Vilniaus Universitetas |
| spellingShingle | Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions Ionu¸t Munteanu Matemáticas eigenvalue feedback control parabolic equations Exponential stabilization nonlocal initial conditions Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions Ionu¸t Munteanu Matemáticas eigenvalue feedback control parabolic equations Exponential stabilization nonlocal initial conditions The present paper is devoted to the problem of stabilization of the one-dimensional semilinear heat equation with nonlocal initial conditions. The control is with boundary actuation. It is linear, of finite-dimensional structure, given in an explicit form. It allows to write the corresponding solution of the closed-loop equation in a mild formulation via a kernel, then to apply a fixed point argument in a convenient space 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694173172007 https://www.redalyc.org/journal/6941/694173172007/ https://www.redalyc.org/journal/6941/694173172007/html/ https://www.redalyc.org/journal/6941/694173172007/694173172007.epub https://www.redalyc.org/journal/6941/694173172007/movil https://doi.org/10.15388/namc.2021.26.24809 en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.6 Vol.26 |
| title | Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions |
| topic | Matemáticas eigenvalue feedback control parabolic equations Exponential stabilization nonlocal initial conditions |
| url | https://www.redalyc.org/articulo.oa?id=694173172007 https://www.redalyc.org/journal/6941/694173172007/ https://www.redalyc.org/journal/6941/694173172007/html/ https://www.redalyc.org/journal/6941/694173172007/694173172007.epub https://www.redalyc.org/journal/6941/694173172007/movil https://doi.org/10.15388/namc.2021.26.24809 |