Results 1 to 10 of about 421 (88)
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
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Exact Null Controllability of a One-Dimensional Wave Equation with a Mixed Boundary
Mathematics, 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
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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
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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
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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
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Journal of Optimization, Differential Equations and Their Applications, 2021 In this paper we discuss the problem of boundary exact null controllability for weakly and strongly degenerate linear wave equation defined on star-shaped planar network. The network is represented by a singular measure in a bounded planar domain.
Peter I. Kogut +2 more
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On exact controllability and complete stabilizability for linear systems
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2021 In this paper we consider linear systems with control described by the equation $\dot x = \mathcal A x +\mathcal B u$ where functions u and x take values in U and X respectively.
Rabah Rabah
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On the exact controllability of a nonlinear stochastic heat equation
Abstract and Applied Analysis, 2006 The exact controllability of a nonlinear stochastic heat equation with null Dirichlet boundary conditions, nonzero initial and target values, and an interior control is established.
Bui An Ton
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Nonequivalence of Controllability Properties for Piecewise Linear Markov Switch Processes *
ESAIM: Proceedings and Surveys, 2017 In this paper we study the exact null-controllability property for a class of controlled PDMP of switch type with switch-dependent, piecewise linear dynamics and multiplicative jumps.
Goreac Dan
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International Journal of Applied Mathematics and Computer Science, 2017 For abstract linear systems in Hilbert spaces we revisit the problems of exact controllability and complete stabilizability (stabilizability with an arbitrary decay rate), the latter property being related to exact null controllability.
Rabah Rabah +2 more
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