Results 21 to 30 of about 1,713,872 (237)
Null controllability for a singular heat equation with a memory term
Electronic Journal of Qualitative Theory of Differential Equations, 2021 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 nonhomogeneous singular heat equation by a new ...
Brahim Allal +2 more
doaj +1 more source
Null controllability of coupled systems of degenerate parabolic integro-differential equations
Electronic Journal of Differential Equations, 2023 This article concerns the null controllability of a coupled system of two degenerate parabolic integro-differential equations with one locally distributed control force.
Brahim Allal +2 more
doaj +1 more source
Exact controllability of infinite dimensional hyperbolic bilinear systems
Partial Differential Equations in Applied Mathematics, 2021 The present study delineates the exact controllability at time T of infinite dimensional hyperbolic system with bilinear distributed controls. It consists in providing suitable controls that allow exact controllability of such a system to a target state ...
Abella El kabouss, El Hassan Zerrik
doaj +1 more source
Null Controllability of a Nonlinear Age Structured Model for a Two-Sex Population
Abstract and Applied Analysis, 2021 This paper is devoted to study the null controllability properties of a nonlinear age and two-sex population dynamics structured model without spatial structure. Here, the nonlinearity and the couplage are at the birth level.
Amidou Traoré +3 more
doaj +1 more source
Mathematics, 2023 In this paper, by applying the Hilbert Uniqueness Method in a non-cylindrical domain, we prove the exact null controllability of one wave equation with a moving boundary.
Lizhi Cui, Jing Lu
doaj +1 more source
Null controllability of a semilinear degenerate parabolic equation with a gradient term
Boundary Value Problems, 2020 This paper concerns the null controllability of a semilinear control system governed by degenerate parabolic equation with a gradient term, where the nonlinearity of the problem is involved with the first derivative. We first establish the well-posedness
Fengdan Xu, Qian Zhou, Yuanyuan Nie
doaj +1 more source
Heating control of a finite rod with a mobile source [PDF]
Archives of Control Sciences, 2021 The Green’s function approach is applied for studying the exact and approximate nullcontrollability of a finite rod in finite time by means of a source moving along the rod with controllable trajectory.
Samvel H. Jilavyan +2 more
doaj +1 more source
Carleman inequality for a class of super strong degenerate parabolic operators and applications
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we present a new Carleman estimate for the adjoint equations associated to a class of super strong degenerate parabolic linear problems. Our approach considers a standard geometric imposition on the control domain, which can not be removed
Bruno Sérgio Araújo +2 more
doaj +1 more source
Mathematics, 2021 According to the spatial dimension, equation type, and time sequence, the latest progress in controllability of stochastic linear systems and some unsolved problems are introduced. Firstly, the exact controllability of stochastic linear systems in finite
Zhaoqiang Ge
doaj +1 more source
Linear Operator Inequality and Null Controllability with Vanishing Energy for Unbounded Control Systems [PDF]
, 2013 We consider a linear boundary or point control system on a Hilbert space $H$ which is null controllable at some time $T_0 >0$. To every initial state $ y_0 \in H$ we associate the minimal ``energy'' needed to transfer $ y_0 $ to $ 0 $ in a time $ T \ge ...
Zabczyk, J. +8 more
core +1 more source