Terminal observer and disturbance observer for the class of fractional-order chaotic systems
Sign Up to like & getrecommendations! Published in 2020 at "Soft Computing"
DOI: 10.1007/s00500-019-04418-0
Abstract: In this paper, a terminal fractional-order observer and a terminal disturbance observer is proposed to estimate internal states and external disturbances of the class of fractional-order chaotic systems. The estimation of states within fixed time… read more here.
Keywords: order; fractional order; class fractional; disturbance observer ... See more keywords
Enhanced FPGA realization of the fractional-order derivative and application to a variable-order chaotic system
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-019-05449-w
Abstract: The efficiency of the hardware implementations of fractional-order systems heavily relies on the efficiency of realizing the fractional-order derivative operator. In this work, a generic hardware implementation of the fractional-order derivative based on the Grünwald–Letnikov’s… read more here.
Keywords: order; fractional order; application variable; order chaotic ... See more keywords
Different Generalized Synchronization Schemes Between Integer-Order and Fractional-Order Chaotic Systems with Different Dimensions
Sign Up to like & getrecommendations! 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
Design of a five-dimensional fractional-order chaotic system and its sliding mode control
Sign Up to like & getrecommendations! Published in 2021 at "Indian Journal of Physics"
DOI: 10.1007/s12648-021-02181-3
Abstract: The movement presented by chaos is violent oscillation, making the system unstable, which often is harmful in engineering. Therefore, how to suppress chaotic state quickly is a research hotspot in the field of control. Compared… read more here.
Keywords: system; control; fractional order; chaotic system ... See more keywords
Sliding mode control design for synchronization of fractional order chaotic systems and its application to a new cryptosystem
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Dynamics and Control"
DOI: 10.1007/s40435-015-0169-y
Abstract: In this paper, the synchronization method of two identical fractional order chaotic systems is developed with lower order than the existing fractional order 3 by designing suitable sliding mode control. Further, a new cryptosystem is… read more here.
Keywords: order; control; fractional order; order chaotic ... See more keywords
The exponential synchronization of a class of fractional-order chaotic systems with discontinuous input
Sign Up to like & getrecommendations! Published in 2017 at "Optik"
DOI: 10.1016/j.ijleo.2016.11.081
Abstract: Abstract This paper investigates the exponential synchronization of a class of fractional-order chaotic systems. The response system is controlled by input which may be either discontinuous or continuous variable. Moreover, the input is assumed to… read more here.
Keywords: fractional order; order chaotic; exponential synchronization; chaotic systems ... See more keywords
Dislocated projective synchronization between fractional-order chaotic systems and integer-order chaotic systems
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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
Analysis of a fractional-order chaotic system in the context of the Caputo fractional derivative via bifurcation and Lyapunov exponents
Sign Up to like & getrecommendations! Published in 2020 at "Journal of King Saud University - Science"
DOI: 10.1016/j.jksus.2020.101275
Abstract: Abstract This research focuses on the characterization of the chaotic behaviors, the hyperchaotic behaviors, and the impact of the fractional-order derivative in a class of fractional chaotic system. The numerical scheme, including the discretization of… read more here.
Keywords: order; fractional order; chaotic system; order chaotic ... See more keywords
Dynamics of a higher dimensional fractional-order chaotic map
Sign Up to like & getrecommendations! Published in 2019 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2019.03.058
Abstract: Abstract Fractional calculus has been a hot topic in nonlinear science, because it can describe physical phenomena more accurately. In recent years, the theory of fractional difference has become one of the foundations for fractional-order… read more here.
Keywords: order chaotic; chaotic maps; order; higher dimensional ... See more keywords
Observers-based event-triggered adaptive fuzzy backstepping synchronization of uncertain fractional order chaotic systems.
Sign Up to like & getrecommendations! Published in 2023 at "Chaos"
DOI: 10.1063/5.0135758
Abstract: In this paper, for a class of uncertain fractional order chaotic systems with disturbances and partially unmeasurable states, an observer-based event-triggered adaptive fuzzy backstepping synchronization control method is proposed. Fuzzy logic systems are employed to… read more here.
Keywords: uncertain fractional; fractional order; order; order chaotic ... See more keywords
Projective synchronization via feedback controller of fractional-order chaotic systems
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Modelling and Simulation"
DOI: 10.1080/02286203.2019.1644600
Abstract: ABSTRACT This paper presents a type of fractional-order chaotic systems with fractional order greater than one, on which the projective synchronization via feedback controller has been applied. Through literal presumptions, the projective synchronization is approached.… read more here.
Keywords: fractional order; order chaotic; chaotic systems; projective synchronization ... See more keywords