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Some results on the regional reconstruction of semilinear sub-diffusion fractional processes
The primary objective of the present manuscript is to find and reconstruct the initial state of the considered fractional semilinear system, written...
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Impulse Controllability and Impulse Observability of Stochastic Singular Systems
This paper discusses the impulse controllability and impulse observability of stochastic singular systems. Firstly, the condition for the existence...
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Optimal regional control for a class of semilinear time-fractional diffusion systems with distributed feedback
Optimal regional control problem for a class of semilinear time-fractional diffusion systems with distributed feedback in a bounded domain is solved...
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Carleman estimate and null controllability for a degenerate parabolic equation with a slightly superlinear reaction term
This paper concerns the null controllability of an one-dimensional degenerate parabolic equation with a slightly superlinear reaction term in a...
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Multi-stage Network Recovery to Maximize the Observability of Smart Grids
Large-scale natural disaster or malicious attacks could cause serious damages to communication networks in smart grids. If the damaged network cannot...
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The Non Singular Case: \(\lambda =0\)
We show Carleman estimates for parabolic problems in divergence or non divergence form with degeneracy at the boundary or in the interior of the...
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Exact Controllability of Wave Equations with Interior Degeneracy and One-Sided Boundary Control
In this paper, the authors mainly consider the exact controllability for degenerate wave equation, which degenerates at the interior point, and...
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Boundary Controllability of Riemann–Liouville Fractional Semilinear Evolution Systems
The main objective of this work is to steer a semilinear time-fractional diffusion control system involving Riemann–Liouville fractional derivative...
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Epimorphic Quantum Subgroups and Coalgebra Codominions
We prove a number of results concerning monomorphisms, epimorphisms, dominions and codominions in categories of coalgebras. Examples include: (a)...
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Multivariable Beurling–Lax representations: the commutative and free noncommutative settings
The original theorem of Beurling asserts that any invariant subspace for the shift operator (multiplication by the coordinate function
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The Case of a Boundary Degenerate/Singular Parabolic Equation
We consider parabolic problems in divergence form with boundary degeneracy and power singularity, showing well posedness and null controllability.
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Regional Feedback Stabilization for Infinite Semilinear Systems
In this paper, we treat the problem of regional optimal stabilization of a class of nonlinear systems by using a switching feedback. Firstly, we...
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Stability analysis of Hadamard and Caputo-Hadamard fractional nonlinear systems without and with delay
This paper handles with the Hadamard and the Caputo-Hadamard fractional derivative and stability of related systems without and with delay. Firstly,...
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Null controllability for a class of degenerate parabolic equations with the gradient terms
This paper concerns a class of control systems governed by degenerate parabolic equations with the gradient terms, which are independent of the...
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Capture-Recapture for Casualty Estimation and Beyond: Recent Advances and Research Directions
The most basic quantitative question about the consequences of armed conflicts is perhaps how many people were killed. During and after conflicts, it...
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Approximate Controllability for Degenerate Heat Equation with Bilinear Control
This paper investigates the nonnegative approximate controllability for the one-dimensional degenerate heat equation governed by bilinear control....
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Acquiring and Predicting Multidimensional Diffusion (MUDI) Data: An Open Challenge
In magnetic resonance imaging (MRI), the image contrast is the result of the subtle interaction between the physicochemical properties of the imaged...
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Qualitative Analysis of the Dynamic for the Nonlinear Korteweg–de Vries Equation with a Boundary Memory
This paper addresses the impact of the presence of a boundary memory term in the third-order Korteweg–de Vries equation in a bounded interval
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Conditional Gaussian Nonlinear Systems
In this chapter, a nonlinear modeling framework, called the conditional Gaussian nonlinear system (CGNS), is introduced. The CGNS contains a rich...
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Methods for Finding a Regularized Solution When Identifying Linear Multivariable Multiconnected Discrete Systems
This article considers the problem of structural and parametric identification of a complex multi-input multi-output (MIMO) discrete system in a...