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A Modified Fractional-Order Unscented Kalman Filter for Nonlinear Fractional-Order Systems
Circuits, Systems, and Signal Processing, 2017zbMATH 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, 2009In 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
2013In 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), 2001This 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
2012This 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, 2015This 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), 2022Sayed Pouria Talebi +2 more
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On Differences of Fractional Order
Proceedings of the London Mathematical Society, 1957openaire +2 more sources
Fractional Orders of Integrability
Journal of the London Mathematical Society, 1936openaire +2 more sources

