Results 1 to 10 of about 178,657 (259)
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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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, complete stabilizability and continuous final observability of neutral type systems [PDF]
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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Exact Null Controllability of String Equations with Neumann Boundaries
Journal of MathematicsThis article focuses on the exact null controllability of a one-dimensional wave equation in noncylindrical domains. Both the fixed endpoint and the moving endpoint are Neumann-type boundary conditions. The control is put on the moving endpoint. When the
Lizhi Cui, Jing Lu
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Exact Null Controllability, Stabilizability, and Detectability of Linear Nonautonomous Control Systems: A Quasisemigroup Approach [PDF]
Abstract and Applied Analysis, 2018 In the theory control systems, there are many various qualitative control problems that can be considered. In our previous work, we have analyzed the approximate controllability and observability of the nonautonomous Riesz-spectral systems including the ...
Sutrima Sutrima +2 more
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Exact Null Controllability of KdV-Burgers Equation with Memory Effect Systems [PDF]
Abstract and Applied Analysis, 2012 This paper is concerned with exact null controllability analysis of nonlinear KdV-Burgers equation with memory. The proposed approach relies upon regression tool to prove controllability property of linearized KdV-Burgers equation via Carleman estimates.
Rajagounder Ravi Kumar +2 more
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Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System [PDF]
Journal of Applied Mathematics, 2012 We introduce a new concept called implicit evolution system to establish the existence results of mild and strong solutions of a class of fractional nonlocal nonlinear integrodifferential system, then we prove the exact null controllability result of a ...
Amar Debbouche, Dumitru Baleanu
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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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