Journal ArticleDOI
A note on the stability of fractional order systems
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TLDR
A new approach is suggested to investigate stability in a family of fractional order linear time invariant systems with order between 1 and 2, which relies on finding a linear ordinary system that possesses the same stability property as the fractional orders.About:
This article is published in Mathematics and Computers in Simulation.The article was published on 2009-01-01. It has received 248 citations till now. The article focuses on the topics: Fractional-order system & Fractional calculus.read more
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Fractional Order Systems: Modeling and Control Applications
TL;DR: Fractional Order Systems Fractional order PID Controller Chaotic fractional order systems Field Programmable Gate Array, Microcontroller and Field Pmable Analog Array Implementation Switched Capacitor and Integrated Circuit Design Modeling of Ionic Polymeric Metal Composite as discussed by the authors.
Journal ArticleDOI
Review of fractional PID controller
Pritesh Shah,Sudhir Agashe +1 more
TL;DR: This review investigates its progress since the first reported use of control systems, covering the fractional PID proposed by Podlubny in 1994, and is presenting a state-of-the-art fractionalpid controller, incorporating the latest contributions in this field.
Journal ArticleDOI
A survey on the stability of fractional differential equations - Dedicated to Prof. Y.S. Chen on the Occasion of his 80th Birthday
TL;DR: A brief overview on the recent stability results of fractional differential equations and the analytical methods used are provided in this paper, where some conclusions for stability are similar to that of classical integer-order differential equations.
Journal ArticleDOI
Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control
Xingyuan Wang,Jun-Mei Song +1 more
TL;DR: In this article, the synchronization conditions of fractional order chaotic systems with activation feedback method were analyzed and the synchronization of commensurate order hyperchaotic Lorenz system of the base order 0.98 was implemented based on this method.
Posted Content
Stability of Fractional-Order Systems with Rational Orders
TL;DR: In this paper, the stability of a certain class of fractional order linear and nonlinear systems is investigated in the time domain and the frequency domain, and the general stability conditions and several illustrative examples are presented.
References
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Journal ArticleDOI
Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
TL;DR: In this article, a fractional-order PI/sup/spl lambda/D/sup /spl mu/controller with fractionalorder integrator and fractional order differentiator is proposed.
Proceedings Article
Stability results for fractional differential equations with applications to control processing
TL;DR: In this article, stability results for finite-dimensional linear fractional differential systems in state-space form are given for both internal and external stability, and the main qualitative result is that stabilities are guaranteed iff the roots of some polynomial lie outside the closed angular sector.
Journal ArticleDOI
Frequency-band complex noninteger differentiator: characterization and synthesis
TL;DR: In this article, the state-of-the-art on generalized (or any order) derivatives in physics and engineering sciences is outlined for justifying the interest of the noninteger differentiation.
Journal ArticleDOI
Stability properties for generalized fractional differential systems
TL;DR: In this article, the stability properties of and modelling issues by generalized fractional differential systems of commensurate and incommensurate nature are addressed. And when necessary a distinction is made between fractional ARMA systems and general fractional DDE systems.