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Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6807
Abstract: This study considers the problem of control and synchronization between fractional‐order and integer‐order, N‐components reaction‐diffusion systems with nonidentical coefficients and different nonlinear parts. The control scheme is designed using the Lyapunov direct method. The results…
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Keywords:
integer order;
order;
fractional order;
reaction diffusion ... See more keywords
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Published in 2018 at "Differential Equations and Dynamical Systems"
DOI: 10.1007/s12591-016-0317-7
Abstract: This paper addresses the problem of generalized synchronization (GS) between different dimensional integer-order and fractional-order chaotic systems. Based on the stability theory of linear continuous time dynamical systems, stability results of linear fractional order systems…
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Keywords:
order;
fractional order;
integer order;
order chaotic ... See more keywords
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Published in 2019 at "International Journal of Dynamics and Control"
DOI: 10.1007/s40435-019-00511-2
Abstract: In this paper, a general robust synchronization method for fractional-order and integer-order 3-D continuous-time quadratic systems is introduced. Based on the idea of the decomposition of the controller in the response system in two sub-controllers…
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Keywords:
order;
continuous time;
integer order;
synchronization ... See more keywords
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Published in 2017 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2017.08.1247
Abstract: Abstract This paper investigates new alternatives of sliding mode control (SMC) derived by introducing fractional dynamics into integer order systems. This is based on system augmentation, that is, the definition of pseudo-states for the integer…
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Keywords:
sliding mode;
order;
system;
control ... See more keywords
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Published in 2017 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2017.08.2084
Abstract: Abstract Automotive natural gas engines are designed to dramatically reduce the emission of polluting gases, particulate matter, and harmful substances associated to combustion of Diesel or gasoline fuels. Their performance depends on the accurate metering…
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Keywords:
common rail;
order;
gas;
integer order ... See more keywords
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Published in 2017 at "Optik"
DOI: 10.1016/j.ijleo.2016.11.118
Abstract: Abstract This paper focuses on the dislocated projective synchronization (DPS) between the fractional-order and the integer-order chaotic systems. Based on the small-gain theorem, nonlinear controllers are designed to reach the DPS between the fractional-order and…
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Keywords:
order;
fractional order;
dislocated projective;
integer order ... See more keywords
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Published in 2019 at "Mathematics"
DOI: 10.3390/math7060559
Abstract: The paper proves a unified analysis for finite-time anti-synchronization of a class of integer-order and fractional-order chaotic systems. We establish an effective controller to ensure that the chaotic system with unknown parameters achieves anti-synchronization in…
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Keywords:
anti synchronization;
system;
integer order;
order ... See more keywords