Results 271 to 280 of about 10,025,076 (325)
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Iterates of Fractional Order

Canadian Journal of Mathematics, 1950
The body of this paper is a complete answer to the following question:Let E be any space whatever. g(x) is a function mapping E into E. When does there exist a function f(x), of the same type, such that(1)
openaire   +1 more source

Adaptive Neural Network Backstepping Control of Fractional-Order Nonlinear Systems With Actuator Faults

IEEE Transactions on Neural Networks and Learning Systems, 2020
Backstepping control for fractional-order nonlinear systems (FONSs) requires the analytic calculation of fractional derivatives of certain complicated stabilizing functions, which becomes prohibitive as the order of the system increases.
Heng Liu   +4 more
semanticscholar   +1 more source

Adaptive Fuzzy Backstepping Dynamic Surface Control of Strict-Feedback Fractional-Order Uncertain Nonlinear Systems

IEEE transactions on fuzzy systems, 2020
This paper presents a novel adaptive fuzzy backstepping dynamic surface control (DSC) scheme for a class of single-input single-output strict-feedback fractional-order uncertain nonlinear systems.
Zhiyao Ma, Hongjun Ma
semanticscholar   +1 more source

Designing of Fractional Order PID Controller for Unstable Fractional Order System

2019 Joint International Conference on Digital Arts, Media and Technology with ECTI Northern Section Conference on Electrical, Electronics, Computer and Telecommunications Engineering (ECTI DAMT-NCON), 2019
This paper proposes the fractional-order proportional-integral-derivative (FOPID or $\mathbf { P } \mathbf { I } ^ { \lambda } \mathbf { D } ^ { \mu }$) controller design optimization for a stable fractional order (FO) system by using the flower pollination algorithm (FPA), one of the most efficient metaheuristic optimization search techniques.
Boonruk Chipipop, Deacha Puangdownreong
openaire   +1 more source

Global Stabilization of Fractional-Order Memristor-Based Neural Networks With Time Delay

IEEE Transactions on Neural Networks and Learning Systems, 2020
This paper addresses the global stabilization of fractional-order memristor-based neural networks (FMNNs) with time delay. The voltage threshold type memristor model is considered, and the FMNNs are represented by fractional-order differential equations ...
Jia Jia   +4 more
semanticscholar   +1 more source

Variable Order and Distributed Order Fractional Operators

Nonlinear Dynamics, 2002
Many physical processes appear to exhibit fractional order behaviour that may vary with time or space. The continuum of order in the fractional calculus allows the order of the fractional operator to be considered as a variable. The paper develops the concept of variable and distributed order fractional operators.
Lorenzo, Carl F., Hartley, Tom T.
openaire   +2 more sources

A wavelet based numerical scheme for fractional order SEIR epidemic of measles by using Genocchi polynomials

Numerical Methods for Partial Differential Equations, 2020
Epidemiology is the glorious discipline underlying medical research, public health practice, and health care evaluation. Nowadays, research on disease models with anonymous parameters is a popular issue for researchers working in epidemiology.
Sunil Kumar   +3 more
semanticscholar   +1 more source

Exponential Stability of Fractional-Order Impulsive Control Systems With Applications in Synchronization

IEEE Transactions on Cybernetics, 2020
This paper investigates exponential stability of fractional-order impulsive control systems (FICSs) and exponential synchronization of fractional-order Cohen–Grossberg neural networks (FCGNNs).
Shuai Yang   +3 more
semanticscholar   +1 more source

Composite Learning Adaptive Dynamic Surface Control of Fractional-Order Nonlinear Systems

IEEE Transactions on Cybernetics, 2020
Adaptive dynamic surface control (ADSC) is effective for solving the complexity problem in adaptive backstepping control of integer-order nonlinear systems.
Heng Liu, Yongping Pan, Jinde Cao
semanticscholar   +1 more source

Adaptive Backstepping Hybrid Fuzzy Sliding Mode Control for Uncertain Fractional-Order Nonlinear Systems Based on Finite-Time Scheme

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2020
A fractional-order integral fuzzy sliding mode control scheme is proposed for a class of uncertain fractional-order nonlinear systems subject to uncertainties and external disturbances.
Shuai Song   +3 more
semanticscholar   +1 more source

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