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A Modified Fractional-Order Unscented Kalman Filter for Nonlinear Fractional-Order Systems

Circuits, Systems, and Signal Processing, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdolrahman Ramezani   +1 more
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Fractional Order Universal Adaptive Stabilizer for Fractional Order Systems

Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 2009
In this paper, the fractional order universal adaptive stabilization of fractional order SISO system is discussed. The fractional universal adaptive stabilizer is u(t) = −k(t)sgn{CB}y(t), where 0Dtβk(t) = ‖y(t)‖p, which guarantees the asymptotic stability of the equilibrium point of fractional order state space system with finite control effort ...
Yan Li, YangQuan Chen
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Fractional-Order Models of the Ultracapacitors

2013
In the paper, dynamic behavior of the ultracapacitors is investigated and analyzed. The ultracapacitors are represented by equivalent electrical circuit models and mathematically described by fractional-order differential equations. The identification procedure is proposed to identify the parameters of the models.
Pawel Skruch, Wojciech Mitkowski
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Initialization in fractional order systems

2001 European Control Conference (ECC), 2001
This paper proves the requirement of a time-varying initialization for fractional differential equations. This then requires a new definition for the fractional differintegral that includes the initialization and a new form of the Laplace transform of the fractional differintegral. An initialized fractional system theory is developed.
Carl F. Lorenzo, Tom T. Hartley
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Fractional-order observers design for fractional-order systems with unknown inputs

2012
This paper considers a method to design the functional observers for continuous-time linear fractional-order systems with unknown inputs. The conditions for the existence of these observers are given. Sufficient conditions for the asymptotical stability of observers with the fractional-order satisfying ...
N'Doye, Ibrahima   +2 more
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Fractional order describing functions

Signal Processing, 2015
This paper addresses limit cycles and signal propagation in dynamical systems with backlash. The study follows the describing function (DF) method for approximate analysis of nonlinearities and generalizes it in the perspective of the fractional calculus.
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Fractional-Order Learning Systems

2022 International Joint Conference on Neural Networks (IJCNN), 2022
Sayed Pouria Talebi   +2 more
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On Differences of Fractional Order

Proceedings of the London Mathematical Society, 1957
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Fractional Orders of Integrability

Journal of the London Mathematical Society, 1936
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