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Published in 2019 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.4504
Abstract: This paper addresses the problem of asymptotic output tracking of a class of semilinear parabolic equations with pointwise in‐domain actuation. First, the assessment of the well‐posedness of the considered systems is performed, and then, the…
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Keywords:
parabolic equations;
tracking class;
class semilinear;
output tracking ... See more keywords
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Published in 2020 at "Acta Mathematica Scientia"
DOI: 10.1007/s10473-020-0518-6
Abstract: In this paper we prove a central limit theorem and a moderate deviation principle for a class of semilinear stochastic partial differential equations, which contain the stochastic Burgers’ equation and the stochastic reaction-diffusion equation. The…
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Keywords:
theorem moderate;
central limit;
semilinear stochastic;
stochastic partial ... See more keywords
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Published in 2019 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2019.08.001
Abstract: Abstract The problem of state feedback control for a class of semilinear partial integro-differential equations is addressed within the framework of dissipativity theory. Adapting ideas from absolute stability theory the system is viewed as interconnection…
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Keywords:
class semilinear;
control class;
semilinear partial;
class ... See more keywords
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Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123655
Abstract: We deal with a class of semilinear nonlocal differential equations in Hilbert spaces which is a general model for some anomalous diffusion equations. By using the theory of integral equations with completely positive kernel together…
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Keywords:
semilinear nonlocal;
equations hilbert;
hilbert spaces;
differential equations ... See more keywords
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Published in 2019 at "International Journal of Control"
DOI: 10.1080/00207179.2017.1373861
Abstract: ABSTRACT This paper considers a regional optimal control problem for a class of semilinear infinite dimensional systems, with distributed controls. The existence of an optimal control is proven, and then this control is characterised for…
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Keywords:
systems distributed;
control;
distributed controls;
regional optimal ... See more keywords