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Exact controllability of complex networks [PDF]
Nature Communications, 2013 Controlling complex networks is of paramount importance in science and engineering. Despite the recent development of structural-controllability theory, we continue to lack a framework to control undirected complex networks, especially given link weights.
Zhengzhong Yuan, Wen-Xu Wang
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Exact controllability of multiplex networks
New Journal of Physics, 2014 We develop a general framework to analyze the controllability of multiplex networks using multiple-relation networks and multiple-layer networks with interlayer couplings as two classes of prototypical systems.
Zhengzhong Yuan +4 more
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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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Shape, Velocity, and Exact Controllability for the Wave Equation
Journal of Optimization, Differential Equations and Their Applications, 2022 A new method to prove exact controllability for the wave equation is demonstrated and discussed on several examples. The method of proof first uses a dynamical argument to prove shape controllability and velocity controllability, thereby solving their ...
Sergei Avdonin +2 more
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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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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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Fractal and Fractional, 2021 This paper presents a variational method for studying approximate controllability and infinite-dimensional exact controllability (finite-approximate controllability) for Riemann–Liouville fractional linear/semilinear evolution equations in Hilbert spaces.
Nazim I. Mahmudov
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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, 2023 In this paper, we present a study on mean square approximate controllability and finite-dimensional mean exact controllability for the system governed by linear/semilinear infinite-dimensional stochastic evolution equations.
Nazim I. Mahmudov
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On controllability of fractional positive continuous-time linear systems with delay [PDF]
Archives of Control Sciences, 2021 In the paper positive fractional continuous-time linear systems are considered. Positive fractional systems without delays and positive fractional systems with a single delay in control are studied.
Beata Sikora, Nikola Matlok
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