Articles with "integer order" as a keyword



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Global synchronization of fractional‐order and integer‐order N component reaction diffusion systems: Application to biochemical models

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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… read more here.

Keywords: integer order; order; fractional order; reaction diffusion ... See more keywords
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Different Generalized Synchronization Schemes Between Integer-Order and Fractional-Order Chaotic Systems with Different Dimensions

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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… read more here.

Keywords: order; fractional order; integer order; order chaotic ... See more keywords
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A general robust method for the synchronization of fractional-integer-order 3-D continuous-time quadratic systems

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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… read more here.

Keywords: order; continuous time; integer order; synchronization ... See more keywords
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Two Strategies for Fractional Sliding Mode Control of Integer Order Systems by System Augmentation: Application to a Servomotor

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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… read more here.

Keywords: sliding mode; order; system; control ... See more keywords
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Estimation of Non-integer Order Models to Represent the Pressure Dynamics in Common-rail Natural Gas Engines

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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… read more here.

Keywords: common rail; order; gas; integer order ... See more keywords
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Dislocated projective synchronization between fractional-order chaotic systems and integer-order chaotic systems

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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… read more here.

Keywords: order; fractional order; dislocated projective; integer order ... See more keywords
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Anti-Synchronization of a Class of Chaotic Systems with Application to Lorenz System: A Unified Analysis of the Integer Order and Fractional Order

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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… read more here.

Keywords: anti synchronization; system; integer order; order ... See more keywords