Results 1 to 10 of about 97,065 (260)
Controlling and synchronizing a fractional-order chaotic system using stability theory of a time-varying fractional-order system. [PDF]
PLoS ONE, 2018 Control and synchronization of fractional-order chaotic systems have attracted wide attention due to their numerous potential applications. To get suitable control method and parameters for fractional-order chaotic systems, the stability analysis of time-
Yu Huang +3 more
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Fractal and Fractional, 2021 In this study, we propose a novel fractional-order Jerk system. Experiments show that, under some suitable parameters, the fractional-order Jerk system displays a chaotic phenomenon.
Changjin Xu +5 more
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Fractional order system identification using a joint multi-innovation fractional gradient descent algorithm [PDF]
Scientific ReportsThis paper proposes a joint multi-innovation fractional gradient descent identification algorithm for fractional order systems. First, the flexibility of fractional calculus is leveraged to design a joint fractional gradient descent algorithm capable of ...
Zishuo Wang +3 more
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Fractional-Order LQR and State Observer for a Fractional-Order Vibratory System
Applied Sciences, 2021 The present study uses linear quadratic regulator (LQR) theory to control a vibratory system modeled by a fractional-order differential equation. First, as an example of such a vibratory system, a viscoelastically damped structure is selected.
Akihiro Takeshita +3 more
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On Passivity of Fractional Order Systems [PDF]
SIAM Journal on Control and Optimization, 2019 We generalize notions of passivity and dissipativity to fractional order systems. Similar to integer order systems, we show that the proposed definitions generate analogous stability and compositionality properties for fractional order systems as well.
Mohsen Rakhshan +2 more
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Stability of Fractional Order Systems [PDF]
Mathematical Problems in Engineering, 2013 The theory and applications of fractional calculus (FC) had a considerable progress during the last years. Dynamical systems and control are one of the most active areas, and several authors focused on the stability of fractional order systems. Nevertheless, due to the multitude of efforts in a short period of time, contributions are scattered along ...
Rivero, Margarita +3 more
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Design of unknown input fractional-order observers for fractional-order systems [PDF]
International Journal of Applied Mathematics and Computer Science, 2013 Abstract This paper considers a method of designing fractional-order observers for continuous-time linear fractional-order systems with unknown inputs. Conditions for the existence of these observers are given. Sufficient conditions for the asymptotical stability of fractional-order observer errors with the fractional order α satisfying 0 < α ...
Ibrahima N'Doye +3 more
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Hyperchaotic Fractional-Order Systems and Their Applications [PDF]
Complexity, 2017 La investigación sobre sistemas hipercaóticos de orden fraccional gana mucho interés desde el punto de vista teórico y aplicado. Se han investigado algunos sistemas hipercaóticos de orden fraccional, como el sistema Rossler hipercaótico de orden fraccional y el sistema Chen hipercaótico de orden fraccional.
A. Elsaid +4 more
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Fractional order continuity of a time semi-linear fractional diffusion-wave system
Alexandria Engineering Journal, 2020 In this work, we consider the time-fractional diffusion equations depend on fractional orders. In more detail, we study on the initial value problems for the time semi-linear fractional diffusion-wave system and discussion about continuity with respect ...
Nguyen Duc Phuong +5 more
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Parallel Simulations for Fractional-Order Systems [PDF]
2016 18th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), 2016 In this paper, we explore how numerical calculations can be accelerated by implementing several numerical methods of fractional-order systems using parallel computing techniques. We investigate the feasibility of parallel computing algorithms and their efficiency in reducing the computational costs over a large time interval.
Andrada Baban +3 more
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