Persistent regional null controllability of some degenerate wave equations
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DOI: 10.1002/mma.4431
Abstract: This paper is addressed to a study of the persistent regional null controllability problems for one-dimensional linear degenerate wave equations through a distributed controller. Different from non-degenerate wave equations, the classical null controllability results do… read more here.
Keywords: regional null; degenerate; null controllability; degenerate wave ... See more keywords
An exact null controllability of stochastic singular systems
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DOI: 10.1007/s11432-019-9902-y
Abstract: The stochastic singular system is also called the stochastic differential algebraic system, stochastic descriptor system, generalized stochastic system, and stochastic degenerate system (e.g., [1–4]). This type of system is found in numerous fields of application,… read more here.
Keywords: singular systems; system; exact null; stochastic singular ... See more keywords
A general variational approach to constrained null controllability for multi-variable systems and application to switching control
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DOI: 10.1080/00207179.2019.1694177
Abstract: We consider the problem of null controllability with switching constrained control for the multi-variable system . The study is focused on the canonical saturation constraints on the control specified by for all . The control… read more here.
Keywords: multi variable; control general; control; null controllability ... See more keywords
Null controllability for a singular heat equation with a memory term
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DOI: 10.14232/ejqtde.2021.1.14
Abstract: In this paper we focus on the null controllability problem for the heat equation with the so-called inverse square potential and a memory term. To this aim, we first establish the null controllability for a… read more here.
Keywords: null controllability; singular heat; heat equation;
Null controllability of nonlocal Hilfer fractional stochastic differential equations
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DOI: 10.18514/mmn.2017.2396
Abstract: In this paper, we study exact null controllability of Hilfer fractional semilinear stochastic differential equations in Hilbert spaces. By using fractional calculus and fixed point approach, sufficient conditions of exact null controllability for such fractional… read more here.
Keywords: stochastic differential; hilfer fractional; differential equations; controllability ... See more keywords
Null controllability for singular cascade systems of $ n $-coupled degenerate parabolic equations by one control force
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DOI: 10.3934/eect.2020080
Abstract: In this paper, we consider a class of cascade systems of \begin{document}$ n $\end{document} -coupled degenerate parabolic equations with singular lower order terms. We assume that both degeneracy and singularity occur in the interior of… read more here.
Keywords: cascade systems; coupled degenerate; parabolic equations; controllability ... See more keywords