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Published in 2025 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.70090
Abstract: The aim of this paper is to propose a new high‐gain observed‐based control design for of a cascade ODE‐PDE systems by considering a Zero‐Order‐Hold device at the input. Moreover we suppose that the PDE contains…
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Keywords:
ode pde;
control class;
feedback control;
pde ... See more keywords
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Published in 2025 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2025.2450093
Abstract: This study looks into the problem of non-fragile control design for PDE systems in the presence of Neumann-type boundary conditions. In particular, the considered PDE is a parabolic type having semi-Markov jump and is subject…
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Keywords:
control;
pde systems;
non fragile;
fragile control ... See more keywords
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Published in 2023 at "IEEE Transactions on Circuits and Systems I: Regular Papers"
DOI: 10.1109/tcsi.2023.3244345
Abstract: This article focuses on the synchronization control of networked uncertain parabolic partial differential equations (PDEs) with uncertain nonlinear actuator dynamics. Compared to existing networked PDE systems, control input occurs in ordinary differential equation (ODE) subsystems…
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Keywords:
pde systems;
nonlinear actuator;
uncertain nonlinear;
pde ... See more keywords
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Published in 2021 at "IEEE Transactions on Cybernetics"
DOI: 10.1109/tcyb.2019.2942685
Abstract: This article addresses the $H_{\infty }$ stabilization problems for a class of nonlinear distributed parameter systems which is described by the first-order hyperbolic partial differential equations (PDEs). First, the first-order hyperbolic PDE systems are identified…
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Keywords:
tex math;
pde;
hyperbolic pde;
pde systems ... See more keywords
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Published in 2022 at "IEEE Transactions on Fuzzy Systems"
DOI: 10.1109/tfuzz.2022.3145816
Abstract: This study focuses on the security control problem of networked fuzzy partial differential equation (PDE) systems under hybrid cyber attacks. First, the nonlinear parabolic PDE system is exactly represented by a Takagi–Sugeno fuzzy PDE model.…
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Keywords:
pde systems;
hybrid cyber;
control;
networked fuzzy ... See more keywords
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Published in 2020 at "Lobachevskii Journal of Mathematics"
DOI: 10.1134/s1995080220120124
Abstract: The article is devoted to a method for constructing exact and approximate solutions of systems of partial differential evolution equations (PDE). The basis of this method is the concept of finite-dimensional dynamics, introduced for scalar…
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Keywords:
system;
dynamics evolutionary;
pde systems;
evolution equations ... See more keywords