PUBLICACIÓN

Matrix approach to discrete fractional calculus III: Non-equidistant grids, variable step length and distributed orders

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ACCEDER A LA PUBLICACIÓN: Scopus Orcid

V. Verbitsky, I. Petras, B. M. Vinagre Jara, T. Skovranek, I. Podlubny, YangQuan Chen

2013 PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Engineering (miscellaneous) (Q1), Mathematics (miscellaneous) (Q1), Physics and Astronomy (miscellaneous) (Q1)

JCR: 2.864

SJR: 1.18

CITAS

67

DOI

10.1098/rsta.2012.0153

EID

2-s2.0-84875886573

ISSN

1364-503X

BIBTEX

@article{VINAGRE2013,title = {Matrix approach to discrete fractional calculus III: Non-equidistant grids, variable step length and distributed orders},journal = {Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences},year = {2013},volume = {371},number = {1990},author = {Podlubny, I. and Skovranek, T. and Vinagre Jara, B.M. and Petras, I. and Verbitsky, V. and Chen, Y.Q.}}

AUTORES DE LA UEX

Blas Manuel Vinagre Jara

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Boolean-Based Fractional Order Smc For Switching Systems: Application To A Dc-Dc Buck Converter
Fractional-Order Pid
Comparing Fractional Order Pi Controllers With Variable Gain And Gain-Order For The Networked Control Of A Servomotor
Fractional-Order Pid
Comparing Fractional Order Pi Controllers With Variable Gain And Gain-Order For The Networked Control Of A Servomotor
Data-Driven Fractional Pid Control: Application To Dc Motors In Flexible Joints
Comparing Fractional Order Pi Controllers With Variable Gain And Gain-Order For The Networked Control Of A Servomotor
Data-Driven Fractional Pid Control: Application To Dc Motors In Flexible Joints
A Survey Of Fractional-Order Generalized Predictive Control
Data-Driven Fractional Pid Control: Application To Dc Motors In Flexible Joints
A Survey Of Fractional-Order Generalized Predictive Control
Introduction
A Survey Of Fractional-Order Generalized Predictive Control
Introduction
Experiences On An Internet Link Characterization And Networked Control Of A Smart Wheel
Introduction
Experiences On An Internet Link Characterization And Networked Control Of A Smart Wheel
Dealing With Fractional Dynamics Of Ip Network Delays
Experiences On An Internet Link Characterization And Networked Control Of A Smart Wheel
Dealing With Fractional Dynamics Of Ip Network Delays
Driving Aid System Based On A Low-Cost Wireless Network: Current Comment
Dealing With Fractional Dynamics Of Ip Network Delays
Driving Aid System Based On A Low-Cost Wireless Network: Current Comment
Control Óptimo Explícito De La Dinámica Longitudinal De Un Vehículo Mediante Modelos Lti E Híbrido
Driving Aid System Based On A Low-Cost Wireless Network: Current Comment
Control Óptimo Explícito De La Dinámica Longitudinal De Un Vehículo Mediante Modelos Lti E Híbrido
Hybrid Modeling And Fractional Control Of A Sckafo Orthosis For Gait Assistance
Control Óptimo Explícito De La Dinámica Longitudinal De Un Vehículo Mediante Modelos Lti E Híbrido
Hybrid Modeling And Fractional Control Of A Sckafo Orthosis For Gait Assistance
Optimized Fractional Order Conditional Integrator
Hybrid Modeling And Fractional Control Of A Sckafo Orthosis For Gait Assistance
Optimized Fractional Order Conditional Integrator
Improved Fractional Kalman Filter And Its Application To Estimation Over Lossy Networks
Optimized Fractional Order Conditional Integrator
Improved Fractional Kalman Filter And Its Application To Estimation Over Lossy Networks
Fractional Signals And Systems
Improved Fractional Kalman Filter And Its Application To Estimation Over Lossy Networks
Fractional Signals And Systems
Arbitrary Real-Order Cost Functions For Signals And Systems
Fractional Signals And Systems
Arbitrary Real-Order Cost Functions For Signals And Systems
Tuning Predictive Controllers With Optimization: Application To Gpc And Fgpc
Arbitrary Real-Order Cost Functions For Signals And Systems
Tuning Predictive Controllers With Optimization: Application To Gpc And Fgpc
Multivariable Fractional Order Pid Controller Design Via Lmi Approach
Tuning Predictive Controllers With Optimization: Application To Gpc And Fgpc
Multivariable Fractional Order Pid Controller Design Via Lmi Approach
Fractional Gain Scheduled Controller For A Networked Smart Wheel: Experimental Results
Multivariable Fractional Order Pid Controller Design Via Lmi Approach
Fractional Gain Scheduled Controller For A Networked Smart Wheel: Experimental Results
Low Speed Control Of An Autonomous Vehicle By Using A Fractional Pi Controller
Fractional Gain Scheduled Controller For A Networked Smart Wheel: Experimental Results
Low Speed Control Of An Autonomous Vehicle By Using A Fractional Pi Controller
Fractional Signals And Systems
Low Speed Control Of An Autonomous Vehicle By Using A Fractional Pi Controller
Fractional Signals And Systems
Matrix Approach To Discretization Of Ordinary And Partial Differential Equations Of Arbitrary Real Order: The Matlab Toolbox
Fractional Signals And Systems
Matrix Approach To Discretization Of Ordinary And Partial Differential Equations Of Arbitrary Real Order: The Matlab Toolbox
Infinite Horizon State-Feedback Lqr Controller For Fractional Systems
Matrix Approach To Discretization Of Ordinary And Partial Differential Equations Of Arbitrary Real Order: The Matlab Toolbox
Infinite Horizon State-Feedback Lqr Controller For Fractional Systems
Fractional-Order Systems And Control: Fundamentals And Applications
Infinite Horizon State-Feedback Lqr Controller For Fractional Systems
Fractional-Order Systems And Control: Fundamentals And Applications
Control De Velocidad De Una Rueda Inteligente A Través De Internet
Fractional-Order Systems And Control: Fundamentals And Applications
Control De Velocidad De Una Rueda Inteligente A Través De Internet
Descripción Y Modelado Híbrido De Una Planta Piloto De Depuración De Aguas Residuales
Control De Velocidad De Una Rueda Inteligente A Través De Internet
Descripción Y Modelado Híbrido De Una Planta Piloto De Depuración De Aguas Residuales
Integración Matlab/labview Para La Mejora Del Software De Una Línea Automatizada De Clasificación De Bulbos De Cebolla Mediante Espectrometría Nir
Descripción Y Modelado Híbrido De Una Planta Piloto De Depuración De Aguas Residuales
Integración Matlab/labview Para La Mejora Del Software De Una Línea Automatizada De Clasificación De Bulbos De Cebolla Mediante Espectrometría Nir
Controller For Urban Intersections Based On Hybrid Automaton
Integración Matlab/labview Para La Mejora Del Software De Una Línea Automatizada De Clasificación De Bulbos De Cebolla Mediante Espectrometría Nir
Controller For Urban Intersections Based On Hybrid Automaton
Clavileño: Evolution Of An Autonomous Car
Controller For Urban Intersections Based On Hybrid Automaton
Clavileño: Evolution Of An Autonomous Car
Fractional - Order Generalized Predictive Control: Formulation And Some Properties
Clavileño: Evolution Of An Autonomous Car
Fractional - Order Generalized Predictive Control: Formulation And Some Properties
Comparing Generalized Order Pid Controllers For Networked Control Systems With Random Delays And Data Dropouts
Fractional - Order Generalized Predictive Control: Formulation And Some Properties
Comparing Generalized Order Pid Controllers For Networked Control Systems With Random Delays And Data Dropouts
Fully Automated Tuning And Implementation Of Fractional Pid Controllers
Comparing Generalized Order Pid Controllers For Networked Control Systems With Random Delays And Data Dropouts
Fully Automated Tuning And Implementation Of Fractional Pid Controllers
V2i-Based Architecture For Information Exchange Among Vehicles
Fully Automated Tuning And Implementation Of Fractional Pid Controllers
V2i-Based Architecture For Information Exchange Among Vehicles
Driving Aid System Based On A Low-Cost Wireless Network
V2i-Based Architecture For Information Exchange Among Vehicles
Driving Aid System Based On A Low-Cost Wireless Network
Position And Velocity Control Of A Servo By Using Gpc Of Arbitrary Real Order
Driving Aid System Based On A Low-Cost Wireless Network
Position And Velocity Control Of A Servo By Using Gpc Of Arbitrary Real Order
Remote Stabilization For Fractional-Order Systems Via Communication Networks
Position And Velocity Control Of A Servo By Using Gpc Of Arbitrary Real Order
Remote Stabilization For Fractional-Order Systems Via Communication Networks
Optimized Fractional Order Conditional Integrator
Remote Stabilization For Fractional-Order Systems Via Communication Networks
Optimized Fractional Order Conditional Integrator
Comparison Of Controllers For A Three-Phase Phase Locked Loop System Under Distorted Conditions
Optimized Fractional Order Conditional Integrator
Comparison Of Controllers For A Three-Phase Phase Locked Loop System Under Distorted Conditions
Gpc Strategies For The Lateral Control Of A Networked Agv
Comparison Of Controllers For A Three-Phase Phase Locked Loop System Under Distorted Conditions
Gpc Strategies For The Lateral Control Of A Networked Agv
Auto-Tuning Of Fractional Order P I• D• Controllers Using A Plc
Gpc Strategies For The Lateral Control Of A Networked Agv
Auto-Tuning Of Fractional Order P I• D• Controllers Using A Plc
Matrix Approach To Discretization Of Fractional Derivatives And To Solution Of Fractional Differential Equations And Their Systems
Auto-Tuning Of Fractional Order P I• D• Controllers Using A Plc
Matrix Approach To Discretization Of Fractional Derivatives And To Solution Of Fractional Differential Equations And Their Systems
A Proposal For Optimal Tuning Of Fractional Order Proportional Integral-Proportional Derivative (Piα-Pdβ) Controllers
Matrix Approach To Discretization Of Fractional Derivatives And To Solution Of Fractional Differential Equations And Their Systems
A Proposal For Optimal Tuning Of Fractional Order Proportional Integral-Proportional Derivative (Piα-Pdβ) Controllers
Matrix Approach To Discrete Fractional Calculus Ii: Partial Fractional Differential Equations
A Proposal For Optimal Tuning Of Fractional Order Proportional Integral-Proportional Derivative (Piα-Pdβ) Controllers
Matrix Approach To Discrete Fractional Calculus Ii: Partial Fractional Differential Equations
Phase Locked Loop For Distorted Three-Phase Systems Tested With A Pi, A Pid And A Fractional Pi
Matrix Approach To Discrete Fractional Calculus Ii: Partial Fractional Differential Equations
Phase Locked Loop For Distorted Three-Phase Systems Tested With A Pi, A Pid And A Fractional Pi
Robust Stability Test For Interval Fractional Order Linear Systems
Phase Locked Loop For Distorted Three-Phase Systems Tested With A Pi, A Pid And A Fractional Pi
Robust Stability Test For Interval Fractional Order Linear Systems
Microelectronic Implementations Of Fractional-Order Integrodifferential Operators
Robust Stability Test For Interval Fractional Order Linear Systems
Microelectronic Implementations Of Fractional-Order Integrodifferential Operators
Pi Vs Fractional Pi For The Control Of A Shunt Active Power Filter
Microelectronic Implementations Of Fractional-Order Integrodifferential Operators
Pi Vs Fractional Pi For The Control Of A Shunt Active Power Filter
Effects Of A Communication Network On The Longitudinal And Lateral Control Of An Agv
Pi Vs Fractional Pi For The Control Of A Shunt Active Power Filter
Effects Of A Communication Network On The Longitudinal And Lateral Control Of An Agv
Bounded Control Strategies For Minimizing The Effects Of The Communications Network On The Lateral Control Of An Agv
Effects Of A Communication Network On The Longitudinal And Lateral Control Of An Agv
Bounded Control Strategies For Minimizing The Effects Of The Communications Network On The Lateral Control Of An Agv
A Fractional Adaptation Scheme For Lateral Control Of An Agv
Bounded Control Strategies For Minimizing The Effects Of The Communications Network On The Lateral Control Of An Agv
A Fractional Adaptation Scheme For Lateral Control Of An Agv
A Fractional Model Reference Adaptive System A Method Of Adjusting The Parameters Controller
A Fractional Adaptation Scheme For Lateral Control Of An Agv
A Fractional Model Reference Adaptive System A Method Of Adjusting The Parameters Controller
Gpc Control Of A Fractional-Order Plant: Improving Stability And Robustness
A Fractional Model Reference Adaptive System A Method Of Adjusting The Parameters Controller
Gpc Control Of A Fractional-Order Plant: Improving Stability And Robustness
Tuning And Auto-Tuning Of Fractional Order Controllers For Industry Applications
Gpc Control Of A Fractional-Order Plant: Improving Stability And Robustness
Tuning And Auto-Tuning Of Fractional Order Controllers For Industry Applications
Journal Europeen Des Systemes Automatises: Editorial
Tuning And Auto-Tuning Of Fractional Order Controllers For Industry Applications
Journal Europeen Des Systemes Automatises: Editorial
Fractional Pid Controllers For Industry Application: A Brief Introduction
Journal Europeen Des Systemes Automatises: Editorial
Fractional Pid Controllers For Industry Application: A Brief Introduction
Analysis Of The Van Der Pol Oscillator Containing Derivatives Of Fractional Order
Fractional Pid Controllers For Industry Application: A Brief Introduction
Analysis Of The Van Der Pol Oscillator Containing Derivatives Of Fractional Order
A Proposal For Parameter Tuning In Fractional Mrac. Application To The Lateral Control Of An Autonomous Vehicle
Analysis Of The Van Der Pol Oscillator Containing Derivatives Of Fractional Order
A Proposal For Parameter Tuning In Fractional Mrac. Application To The Lateral Control Of An Autonomous Vehicle
Cooperative Maneuver Study Between Autonomous Cars: Overtaking
A Proposal For Parameter Tuning In Fractional Mrac. Application To The Lateral Control Of An Autonomous Vehicle
Cooperative Maneuver Study Between Autonomous Cars: Overtaking
Fractional-Order Control Of A Flexible Manipulator
Cooperative Maneuver Study Between Autonomous Cars: Overtaking
Fractional-Order Control Of A Flexible Manipulator
Optimal Fractional Controllers For Rational Order Systems: A Special Case Of The Wiener-Hopf Spectral Factorization Method
Fractional-Order Control Of A Flexible Manipulator
Optimal Fractional Controllers For Rational Order Systems: A Special Case Of The Wiener-Hopf Spectral Factorization Method
Tip Position Control Of A Lightweight Flexible Manipulator Using A Fractional Order Controller
Optimal Fractional Controllers For Rational Order Systems: A Special Case Of The Wiener-Hopf Spectral Factorization Method
Tip Position Control Of A Lightweight Flexible Manipulator Using A Fractional Order Controller
Introducción Al Control Fraccionario
Tip Position Control Of A Lightweight Flexible Manipulator Using A Fractional Order Controller
Introducción Al Control Fraccionario
Fractional Order Control Strategies For Power Electronic Buck Converters
Introducción Al Control Fraccionario
Fractional Order Control Strategies For Power Electronic Buck Converters
A Fractional Adaptation Scheme For Lateral Control Of An Agv
Fractional Order Control Strategies For Power Electronic Buck Converters
A Fractional Adaptation Scheme For Lateral Control Of An Agv
Tuning Of Fractional Pid Controllers By Using Qft
A Fractional Adaptation Scheme For Lateral Control Of An Agv
Tuning Of Fractional Pid Controllers By Using Qft
A Robust Tuning Method For Fractional Order Pi Controllers
Tuning Of Fractional Pid Controllers By Using Qft
A Robust Tuning Method For Fractional Order Pi Controllers
On Auto-Tuning Of Fractional Order Piλdμ Controllers
A Robust Tuning Method For Fractional Order Pi Controllers
On Auto-Tuning Of Fractional Order Piλdμ Controllers
Teoría De Control Y Cálculo Fraccionario
On Auto-Tuning Of Fractional Order Piλdμ Controllers
Teoría De Control Y Cálculo Fraccionario
Autosintonía De Compensadores En Atraso-Adelanto De Orden No Entero
Teoría De Control Y Cálculo Fraccionario
Autosintonía De Compensadores En Atraso-Adelanto De Orden No Entero
Auto-Tuning Of Fractional Lead-Lag Compensators
Autosintonía De Compensadores En Atraso-Adelanto De Orden No Entero
Auto-Tuning Of Fractional Lead-Lag Compensators
Synthesis Of A Spatial Lookahead Path Tracking Controller
Auto-Tuning Of Fractional Lead-Lag Compensators
Synthesis Of A Spatial Lookahead Path Tracking Controller
Fractional Control Of A Single-Link Flexible Manipulator
Synthesis Of A Spatial Lookahead Path Tracking Controller
Fractional Control Of A Single-Link Flexible Manipulator
Implantación De Controladores De Orden Fraccionario Mediante Autómatas Programables
Fractional Control Of A Single-Link Flexible Manipulator
Implantación De Controladores De Orden Fraccionario Mediante Autómatas Programables
On Fractional Pi Λ Controllers: Some Tuning Rules For Robustness To Plant Uncertainties
Implantación De Controladores De Orden Fraccionario Mediante Autómatas Programables
On Fractional Pi Λ Controllers: Some Tuning Rules For Robustness To Plant Uncertainties
Fractional Order Disturbance Observer For Robust Vibration Suppression
On Fractional Pi Λ Controllers: Some Tuning Rules For Robustness To Plant Uncertainties
Fractional Order Disturbance Observer For Robust Vibration Suppression
Continued Fraction Expansion Approaches To Discretizing Fractional Order Derivatives-An Expository Review
Fractional Order Disturbance Observer For Robust Vibration Suppression
Continued Fraction Expansion Approaches To Discretizing Fractional Order Derivatives-An Expository Review
Dynamic Models Of An Agv Based On Experimental Results
Continued Fraction Expansion Approaches To Discretizing Fractional Order Derivatives-An Expository Review
Dynamic Models Of An Agv Based On Experimental Results
Stability Of Linear Time Invariant Systems With Interval Fractional Orders And Interval Coefficients
Dynamic Models Of An Agv Based On Experimental Results
Stability Of Linear Time Invariant Systems With Interval Fractional Orders And Interval Coefficients
The Fractional Order Lead Compensator
Stability Of Linear Time Invariant Systems With Interval Fractional Orders And Interval Coefficients
The Fractional Order Lead Compensator
Using Fractional Calculus For Lateral And Longitudinal Control Of Autonomous Vehicles
The Fractional Order Lead Compensator
Using Fractional Calculus For Lateral And Longitudinal Control Of Autonomous Vehicles
The Fractional Order Lead Compensator
Using Fractional Calculus For Lateral And Longitudinal Control Of Autonomous Vehicles
The Fractional Order Lead Compensator
Stability Of Linear Time Invariant Systems With Interval Fractional Orders And Interval Coefficients
The Fractional Order Lead Compensator
Stability Of Linear Time Invariant Systems With Interval Fractional Orders And Interval Coefficients
Using Fractional Calculus For Lateral And Longitudinal Control Of Autonomous Vehicles
Stability Of Linear Time Invariant Systems With Interval Fractional Orders And Interval Coefficients
Using Fractional Calculus For Lateral And Longitudinal Control Of Autonomous Vehicles
Linear Fractional Order Control Of A Dc-Dc Buck Converter
Using Fractional Calculus For Lateral And Longitudinal Control Of Autonomous Vehicles
Linear Fractional Order Control Of A Dc-Dc Buck Converter
Fractional Controller For Guidance Of Autonomous Ground Vehicles
Linear Fractional Order Control Of A Dc-Dc Buck Converter
Fractional Controller For Guidance Of Autonomous Ground Vehicles
On Fractional Order Disturbance Observer
Fractional Controller For Guidance Of Autonomous Ground Vehicles
On Fractional Order Disturbance Observer
A New Discretization Method For Fractional Order Differentiators Via Continued Fraction Expansion
On Fractional Order Disturbance Observer
A New Discretization Method For Fractional Order Differentiators Via Continued Fraction Expansion
A New Iir-Type Digital Fractional Order Differentiator
A New Discretization Method For Fractional Order Differentiators Via Continued Fraction Expansion
A New Iir-Type Digital Fractional Order Differentiator
Two Direct Tustin Discretization Methods For Fractional-Order Differentiator/integrator
A New Iir-Type Digital Fractional Order Differentiator
Two Direct Tustin Discretization Methods For Fractional-Order Differentiator/integrator
Analogue Realizations Of Fractional-Order Controllers
Two Direct Tustin Discretization Methods For Fractional-Order Differentiator/integrator
Analogue Realizations Of Fractional-Order Controllers
Using Fractional Order Adjustment Rules And Fractional Order Reference Models In Model-Reference Adaptive Control
Analogue Realizations Of Fractional-Order Controllers
Using Fractional Order Adjustment Rules And Fractional Order Reference Models In Model-Reference Adaptive Control
Relaxation Modulus In The Fitting Of Polycarbonate And Poly(Vinyl Chloride) Viscoelastic Polymers By A Fractional Maxwell Model
Using Fractional Order Adjustment Rules And Fractional Order Reference Models In Model-Reference Adaptive Control
Relaxation Modulus In The Fitting Of Polycarbonate And Poly(Vinyl Chloride) Viscoelastic Polymers By A Fractional Maxwell Model
Two Digital Realizations Of Fractional Controllers: Application To Temperature Control Of A Solid
Relaxation Modulus In The Fitting Of Polycarbonate And Poly(Vinyl Chloride) Viscoelastic Polymers By A Fractional Maxwell Model
Two Digital Realizations Of Fractional Controllers: Application To Temperature Control Of A Solid
Optimal Fractional Controllers For Commensurate Order Systems: A Special Case Of The Wiener-Hopf Method
Two Digital Realizations Of Fractional Controllers: Application To Temperature Control Of A Solid
Optimal Fractional Controllers For Commensurate Order Systems: A Special Case Of The Wiener-Hopf Method
On Fractional Pid Controllers: A Frequency Domain Approach
Optimal Fractional Controllers For Commensurate Order Systems: A Special Case Of The Wiener-Hopf Method
On Fractional Pid Controllers: A Frequency Domain Approach
Optimal Fractional Controllers For Commensurate Order Systems: A Special Case Of The Wiener-Hopf Method
On Fractional Pid Controllers: A Frequency Domain Approach
Optimal Fractional Controllers For Commensurate Order Systems: A Special Case Of The Wiener-Hopf Method
Aplicación De La Lógica Borrosa En El Diseño De Un Generador De Trayectorias Para Un Robot Móvil
Optimal Fractional Controllers For Commensurate Order Systems: A Special Case Of The Wiener-Hopf Method
Aplicación De La Lógica Borrosa En El Diseño De Un Generador De Trayectorias Para Un Robot Móvil
Cuatro Ingenieros
Aplicación De La Lógica Borrosa En El Diseño De Un Generador De Trayectorias Para Un Robot Móvil
Cuatro Ingenieros
Frequency Domain Identification Of A Flexible Structure With Piezoelectric Actuators Using Irrational Transfer Function Models
Cuatro Ingenieros
Frequency Domain Identification Of A Flexible Structure With Piezoelectric Actuators Using Irrational Transfer Function Models
A Novel Variable Volume Capillary Microgripper For Micromanipulation In Aqueous Media
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