Feedback exponential stabilization of the semilinear heat equation with 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 solut...
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| Format: | article |
| Language: | EN |
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Vilnius University Press
2021
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| Online Access: | https://doaj.org/article/83c845c1ae5a41b0b791d5f4dfd37d3f |
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| Summary: | 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.
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