Results 51 to 60 of about 18,090,173 (384)

Exact Null Controllability of a One-Dimensional Wave Equation with a Mixed Boundary

open access: yesMathematics, 2023
In this paper, exact null controllability of one-dimensional wave equations in non-cylindrical domains was discussed. It is different from past papers, as we consider boundary conditions for more complex cases.
Lizhi Cui, Jing Lu
doaj   +1 more source

Remarks on local controllability for the Boussinesq system with Navier boundary condition

open access: yesComptes Rendus. Mathématique, 2020
This note deals with the local exact controllability to a particular class of trajectories for the Boussinesq system with nonlinear Navier–slip boundary conditions and internal controls having vanishing components.
Montoya, Cristhian
doaj   +1 more source

Global exact controllability to the trajectories of the Kuramoto-Sivashinsky equation

open access: yesEvolution Equations and Control Theory, 2020
In this paper, we establish the global exact controllability to the trajectories of the Kuramoto-Sivashinsky equation by five controls: one control is the right member of the equation and is constant with respect to the space variable, the four others ...
Peng Gao
semanticscholar   +1 more source

Exact controllability of wave equations with locally distributed control in non-cylindrical domain

open access: yesJournal of Mathematical Analysis and Applications, 2020
Exact controllability of a one-dimensional wave equation with locally distributed control in non-cylindrical domain is considered. This equation characterizes the motion of a string with a fixed endpoint and the other moving one. If the adjoint system is
L. Cui
semanticscholar   +1 more source

On the three dimensional Kelvin-Voigt fluids: global solvability, exponential stability and exact controllability of Galerkin approximations

open access: yesEvolution Equations and Control Theory, 2020
In this work, we consider the three-dimensional viscoelastic fluid flow equations, arising from the motion of Kelvin-Voigt fluids in bounded and unbounded domains.
M. T. Mohan
semanticscholar   +1 more source

Controllability of Brain Neural Networks in Learning Disorders—A Geometric Approach

open access: yesMathematics, 2022
The human brain can be interpreted mathematically as a linear dynamical system that shifts through various cognitive regions promoting more or less complicated behaviors. The dynamics of brain neural network play a considerable role in cognitive function
Maria Isabel García-Planas   +1 more
doaj   +1 more source

Study on the controllability of Hilfer fractional differential system with and without impulsive conditions via infinite delay

open access: yesNonlinear Analysis, 2023
In this manuscript, we investigate the controllability of two different kinds of Hilfer fractional differential equations with an almost sectorial operator and infinite delay.
Chandrabose Sindhu Varun Bose   +4 more
doaj   +1 more source

Exact Controllability of a Linear Korteweg-de Vries Equation by the Flatness Approach [PDF]

open access: yesSIAM Journal of Control and Optimization, 2018
We consider a linear Korteweg-de Vries equation on a bounded domain with a left Dirichlet boundary control.The controllability to the trajectories of such a system was proved in the last decade by using Carleman estimates.Here, we go a step further by ...
Philippe Martin   +3 more
semanticscholar   +1 more source

Controllability of Impulsive ψ-Caputo Fractional Evolution Equations with Nonlocal Conditions

open access: yesMathematics, 2021
This paper is mainly concerned with the exact controllability for a class of impulsive ψ-Caputo fractional evolution equations with nonlocal conditions. First, by generalized Laplace transforms, a mild solution for considered problems is introduced. Next,
Longfei Lin, Yansheng Liu, Daliang Zhao
doaj   +1 more source

Exact controllability of infinite dimensional systems with controls of minimal norm

open access: yesTopological Methods in Nonlinear Analysis, 2019
The paper deals with the exact controllability of a semilinear system in a separable Hilbert space. A bounded linear part is considered and a linear control introduced.
L. Malaguti   +2 more
semanticscholar   +1 more source

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