Fractional-order dynamical models of love

WM Ahmad, R El-Khazali - Chaos, Solitons & Fractals, 2007 - Elsevier
This paper examines fractional-order dynamical models of love. It offers a generalization of a
dynamical model recently reported in the literature. The generalization is obtained by …

Modeling of speech signals using fractional calculus

K Assaleh, WM Ahmad - 2007 9th International Symposium on …, 2007 - ieeexplore.ieee.org
In this paper, we present a novel approach for speech signal modeling using fractional
calculus. This approach is contrasted with the celebrated Linear Predictive Coding (LPC) …

Generation and control of multi-scroll chaotic attractors in fractional order systems

WM Ahmad - Chaos, Solitons & Fractals, 2005 - Elsevier
The objective of this paper is twofold: on one hand we demonstrate the generation of multi-
scroll attractors in fractional order chaotic systems. Then, we design state feedback …

Introducción al control fraccionario

BM Vinagre, CA Monje - Revista Iberoamericana de Automática e …, 2010 - riunet.upv.es
[ES] Este trabajo pretende ser una introducción y una invitación al Control Fraccionario,
entendido éste como el conjunto de aplicaciones del Cálculo Fraccionario en Teoría de …

Sufficient condition for stabilization of linear time invariant fractional order switched systems and variable structure control stabilizers

S Balochian, AK Sedigh - ISA transactions, 2012 - Elsevier
This paper presents the stabilization problem of a linear time invariant fractional order (LTI-
FO) switched system with order 1< q< 2 by a single Lyapunov function whose derivative is …

Variable structure control of linear time invariant fractional order systems using a finite number of state feedback law

S Balochian, AK Sedigh, A Zare - Communications in Nonlinear Science …, 2011 - Elsevier
In this paper, an approach based on the variable structure control is proposed for
stabilization of linear time invariant fractional order systems (LTI-FOS) using a finite number …

Sliding mode control of generalized fractional chaotic systems

R El-Khazali, W Ahmad, Y Al-Assaf - International Journal of …, 2006 - World Scientific
A sliding mode control technique is introduced for generalized fractional chaotic systems.
These systems are governed by a set of fractional differential equations of incommensurate …

Stabilization of fractional order systems using a finite number of state feedback laws

S Balochian, AK Sedigh, M Haeri - Nonlinear Dynamics, 2011 - Springer
In this paper, the stabilization of linear time-invariant systems with fractional derivatives
using a limited number of available state feedback gains, none of which is individually …

Synchronization of fractional hyperchaotic Lü system via unidirectional coupling method

J Liu, X Li - 2008 7th World Congress on Intelligent Control and …, 2008 - ieeexplore.ieee.org
The chaotic dynamics of fractional order systems has attracted much attentions. In this brief
paper, we study the unidirectional driving-response synchronization of fractional order …

Fractional-order phase-locked loop

R El-Khazali, W Ahmad - 2007 9th International Symposium on …, 2007 - ieeexplore.ieee.org
In this paper, a fractional-order analog phase-locked loop (FAPLL) model is proposed. In the
new model, the traditional analog phase locked loop (APLL) is generalized by allowing the …