Fractional Order Systems: Modeling and Control Applications

An Algorithm for Least-Squares Estimation of Nonlinear Parameters

1963 • 29,357 citations

Fractional differential equations

1999 • 20,349 citations

Theory and Applications of Fractional Differential Equations

2006 • 13,221 citations

The Theory of Matrices

1984 • 8,921 citations

Network analysis and feedback amplifier design

1945 • 3,157 citations

ROBUST CONTROL: THE PARAMETRIC APPROACH

1995 • 1,256 citations

Tuning and auto-tuning of fractional order controllers for industry applications

2008 • 940 citations

Stability analysis of linear fractional differential system with multiple time delays

2006 • 855 citations

1/f noise

1982 • 750 citations

A chaotic attractor from Chua's circuit

1984 • 683 citations

Algorithms for the fractional calculus: A selection of numerical methods

2004 • 645 citations

Chaos and hyperchaos in the fractional-order Rössler equations

2004 • 644 citations

Equilibrium points, stability and numerical solutions of fractional-order predator–prey and rabies models

2006 • 635 citations

Stability properties for generalized fractional differential systems

1998 • 558 citations

Discretization schemes for fractional-order differentiators and integrators

2002 • 558 citations

Matrix approach to discrete fractional calculus II: Partial fractional differential equations

2009 • 423 citations

Robust OP Amp Realization of Chua's Circuit

1992 • 376 citations

Chaos synchronization of the fractional Lü system

2005 • 376 citations

Comparative experimental study of ionic polymer–metal composites with different backbone ionomers and in various cation forms

2003 • 367 citations

Two direct Tustin discretization methods for fractional-order differentiator/integrator

2003 • 355 citations

A necessary condition for double scroll attractor existence in fractional-order systems

2007 • 350 citations

Chaotic attractors in incommensurate fractional order systems

2008 • 333 citations

Some noises withI/fspectrum, a bridge between direct current and white noise

1967 • 316 citations

On the stability of linear systems with fractional-order elements

2007 • 316 citations

The non-integer integral and its application to control systems.

1961 • 289 citations

Novel digital integrator and differentiator

1993 • 280 citations

A note on the stability of fractional order systems

2008 • 268 citations

Dead matter has memory!

1991 • 257 citations

Short memory principle and a predictor–corrector approach for fractional differential equations

2006 • 242 citations

Untitled

2001 • 238 citations

A nonlinear model for ionic polymer metal composites as actuators

2006 • 233 citations

The fractional - order controllers: Methods for their synthesis and application

2000 • 206 citations

Fractional dynamics of systems with long-range interaction

2006 • 185 citations

Realizations of Generalized Warburg Impedance with RC Ladder Networks and Transmission Lines

1987 • 161 citations

Robust stability of time-delay systems

1994 • 160 citations

Unreliability of frequency-domain approximation in recognising chaos in fractional-order systems

2007 • 152 citations

On Fractional PID Controllers: A Frequency Domain Approach

2000 • 152 citations

Analysis of the Van der Pol Oscillator Containing Derivatives of Fractional Order

2007 • 148 citations

Limitations of frequency domain approximation for detecting chaos in fractional order systems

2007 • 138 citations

Untitled

2002 • 134 citations

Robust controllability of interval fractional order linear time invariant systems

2006 • 129 citations

Synthesis of fractional Laguerre basis for system approximation

2007 • 123 citations

Numerical Simulations of Fractional Systems: An Overview of Existing Methods and Improvements

2004 • 119 citations

The synchronization of three fractional differential systems

2006 • 117 citations

A note on time-domain simulation of feedback fractional-order systems

2002 • 113 citations

Chaos in the fractional-order Volta’s system: modeling and simulation

2008 • 113 citations

Filling The Gap Between The Bilinear and The Backward-Difference Transforms: An Interactive Design Approach

1997 • 73 citations

An overview of the CRONE approach in system analysis, modeling and identification, observation and control

2008 • 71 citations

Conservation laws and Hamilton’s equations for systems with long-range interaction and memory

2007 • 67 citations

Chaotic dynamics and synchronization of fractional-order Genesio–Tesi systems

2005 • 65 citations

Stability of linear time invariant systems with interval fractional orders and interval coefficients

2005 • 61 citations

Optimal Fractional Controllers for Rational Order Systems: A Special Case of the Wiener-Hopf Spectral Factorization Method

2007 • 60 citations

Fractional dynamics in the trajectory control of redundant manipulators

2007 • 59 citations

A ROBUST TUNING METHOD FOR FRACTIONAL ORDER PI CONTROLLERS

2006 • 56 citations

Two digital realizations of fractional controllers: Application to temperature control of a solid

2001 • 56 citations

A simple test for zeros of a complex polynomial in a sector

1974 • 54 citations

Modeling and Analog Realization of the Fundamental Linear Fractional Order Differential Equation

2006 • 53 citations

A computationally effective predictor-corrector method for simulating fractional order dynamical control system

2006 • 47 citations

Third generation CRONE control

2002 • 38 citations

First generation CRONE control

2002 • 32 citations

Second generation CRONE control

2002 • 29 citations

Fractional-Order State Space Models

2002 • 29 citations

ANALOG FRACTIONAL ORDER CONTROLLER IN A TEMPERATURE CONTROL APPLICATION

2006 • 18 citations

On the Completeness Problem for Fractional Rationals with Incommensurable Differentiation Orders

2008 • 9 citations

An ultracapacitor non-linear fractional model

2008 • 7 citations

CNN with non-integer order cells

2002 • 4 citations

Fractional Models for the Electrical and Electromechanical Stages of IPMC Actuators

2008 • 1 citations

Field Programmable Analog Array Implementation

2010 • 1 citations