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J. A. Tenreiro Machado
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Journal Articles

A Spectral Numerical Method for Solving Distributed-Order Fractional Initial Value Problems

M. A. Zaky, E. H. Doha, J. A. Tenreiro Machado
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2018, 13(10): 101007.
Paper No: CND-18-1007
https://doi.org/10.1115/1.4041030
Published Online: August 22, 2018
View Article titled, A Spectral Numerical Method for Solving Distributed-Order Fractional Initial Value Problems
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Topics: Errors, Numerical analysis, Polynomials, Integral equations
Journal Articles

A Comparative Study of Integer and Noninteger Order Wavelets for Fractional Nonlinear Fredholm Integro-Differential Equations

F. Mohammadi, J. A. Tenreiro Machado
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2018, 13(8): 081002.
Paper No: CND-17-1555
https://doi.org/10.1115/1.4040343
Published Online: June 18, 2018
View Article titled, A Comparative Study of Integer and Noninteger Order Wavelets for Fractional Nonlinear Fredholm Integro-Differential Equations
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Topics: Wavelets, Algorithms
Journal Articles

Computational Analysis of the U.S. Forest Fires

António M. Lopes, J. A. Tenreiro Machado
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. July 2017, 12(4): 044503.
Paper No: CND-16-1311
https://doi.org/10.1115/1.4035672
Published Online: January 24, 2017
View Article titled, Computational Analysis of the U.S. Forest Fires
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Topics: Entropy, Fire, Spacetime, Visualization
Journal Articles

Stabilization of Fractional-Order Systems Subject to Saturation Element Using Fractional Dynamic Output Feedback Sliding Mode Control

Esmat Sadat Alaviyan Shahri, Alireza Alfi, J. A. Tenreiro Machado
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2017, 12(3): 031014.
Paper No: CND-16-1274
https://doi.org/10.1115/1.4035196
Published Online: December 5, 2016
View Article titled, Stabilization of Fractional-Order Systems Subject to Saturation Element Using Fractional Dynamic Output Feedback Sliding Mode Control
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Topics: Design, Feedback, Simulation results, Sliding mode control, Stability, Surface mount components, Control equipment, Closed loop systems, Dynamics (Mechanics)
Journal Articles

An Efficient Operational Matrix Technique for Multidimensional Variable-Order Time Fractional Diffusion Equations

M. A. Zaky, S. S. Ezz-Eldien, E. H. Doha, J. A. Tenreiro Machado, A. H. Bhrawy
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2016, 11(6): 061002.
Paper No: CND-15-1388
https://doi.org/10.1115/1.4033723
Published Online: June 20, 2016
View Article titled, An Efficient Operational Matrix Technique for Multidimensional Variable-Order Time Fractional Diffusion Equations
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Topics: Diffusion (Physics), Algorithms, Polynomials
Journal Articles

An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations

B. Parsa Moghaddam, Sh. Yaghoobi, J. A. Tenreiro Machado
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2016, 11(6): 061001.
Paper No: CND-15-1270
https://doi.org/10.1115/1.4032574
Published Online: June 20, 2016
View Article titled, An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations
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Topics: Algorithms, Delay differential equations, Numerical analysis, Time delay systems
Journal Articles

Analytical Solution of Fractional Order Diffusivity Equation With Wellbore Storage and Skin Effects

Kambiz Razminia, Abolhassan Razminia, J. A. Tenreiro Machado
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2016, 11(1): 011006.
Paper No: CND-14-1160
https://doi.org/10.1115/1.4030534
Published Online: January 1, 2016
View Article titled, Analytical Solution of Fractional Order Diffusivity Equation With Wellbore Storage and Skin Effects
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Topics: Flow (Dynamics), Fractals, Pressure, Reservoirs, Skin, Storage
Journal Articles

Entropy Analysis of Industrial Accident Data Series

António M. Lopes, J. A. Tenreiro Machado
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2016, 11(3): 031006.
Paper No: CND-14-1327
https://doi.org/10.1115/1.4031195
Published Online: October 23, 2015
View Article titled, Entropy Analysis of Industrial Accident Data Series
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Topics: Accidents, Entropy, Visualization
Proceedings Papers

Some Pioneers of the Application of Fractional Calculus

J. A. Tenreiro Machado, Alexandra M. S. F. Galhano
Proc. ASME. IDETC-CIE2013, Volume 7B: 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, V07BT10A038, August 4–7, 2013
Publisher: American Society of Mechanical Engineers
Paper No: DETC2013-12471
https://doi.org/10.1115/DETC2013-12471
View Paper titled, Some Pioneers of the Application of Fractional Calculus
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Topics: Industrial research, Mathematics, Physics, Relaxation (Physics)
Proceedings Papers

Fractional Model for Malaria Disease

Carla M. A. Pinto, J. A. Tenreiro Machado
Proc. ASME. IDETC-CIE2013, Volume 7B: 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, V07BT10A040, August 4–7, 2013
Publisher: American Society of Mechanical Engineers
Paper No: DETC2013-12946
https://doi.org/10.1115/DETC2013-12946
View Paper titled, Fractional Model for Malaria Disease
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Topics: Diseases, Equilibrium (Physics), Transients (Dynamics)
Proceedings Papers

A Gallery of Root Locus of Fractional Systems

J. A. Tenreiro Machado
Proc. ASME. IDETC-CIE2013, Volume 4: 18th Design for Manufacturing and the Life Cycle Conference; 2013 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, V004T08A018, August 4–7, 2013
Publisher: American Society of Mechanical Engineers
Paper No: DETC2013-12470
https://doi.org/10.1115/DETC2013-12470
View Paper titled, A Gallery of Root Locus of Fractional Systems
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Topics: Closed loop systems, Frequency response, Linear systems, Stability, Transfer functions
Journal Articles

Visualizing Non-Linear Control System Performance by Means of Multidimensional Scaling

J. A. Tenreiro Machado
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2013, 8(4): 041017.
Paper No: CND-11-1222
https://doi.org/10.1115/1.4024540
Published Online: July 18, 2013
View Article titled, Visualizing Non-Linear Control System Performance by Means of Multidimensional Scaling
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Topics: Control systems, Nonlinear control systems, Signals, Dimensions
Proceedings Papers

Visualizing Non-Linear Control System Performance by Means of Multidimensional Scaling

J. A. Tenreiro Machado
Proc. ASME. IDETC-CIE2011, Volume 1: 23rd Biennial Conference on Mechanical Vibration and Noise, Parts A and B, 97-102, August 28–31, 2011
Publisher: American Society of Mechanical Engineers
Paper No: DETC2011-47283
https://doi.org/10.1115/DETC2011-47283
View Paper titled, Visualizing Non-Linear Control System Performance by Means of Multidimensional Scaling
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Topics: Control systems, Nonlinear control systems, Nonlinear systems, Signals
Proceedings Papers

Fractional Variable Structure Control

J. A. Tenreiro Machado
Proc. ASME. IDETC-CIE2011, Volume 1: 23rd Biennial Conference on Mechanical Vibration and Noise, Parts A and B, 121-126, August 28–31, 2011
Publisher: American Society of Mechanical Engineers
Paper No: DETC2011-47639
https://doi.org/10.1115/DETC2011-47639
View Paper titled, Fractional Variable Structure Control
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Topics: Closed loop systems, Control algorithms, Manipulators
Proceedings Papers

Visualizing Fractional Control System Approximations by Means of Multidimensional Scaling

J. A. Tenreiro Machado
Proc. ASME. IDETC-CIE2011, Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B, 123-128, August 28–31, 2011
Publisher: American Society of Mechanical Engineers
Paper No: DETC2011-47284
https://doi.org/10.1115/DETC2011-47284
View Paper titled, Visualizing Fractional Control System Approximations by Means of Multidimensional Scaling
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Topics: Approximation, Control systems, Algorithms, Closed loop systems, Signals
Proceedings Papers

Fractional-Order Control of a Robotic Bird

Micael S. Couceiro, N. M. Fonseca Ferreira, J. A. Tenreiro Machado
Proc. ASME. IDETC-CIE2009, Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 163-169, August 30–September 2, 2009
Publisher: American Society of Mechanical Engineers
Paper No: DETC2009-86305
https://doi.org/10.1115/DETC2009-86305
View Paper titled, Fractional-Order Control of a Robotic Bird
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Topics: Robotics, Algorithms, Construction, Control equipment, Design, Flight, Robots, Simulation, Testing, Trajectories (Physics)
Proceedings Papers

Biological Inspired Flying Robot

Micael S. Couceiro, Carlos M. Figueiredo, N. M. Fonseca Ferreira, J. A. Tenreiro Machado
Proc. ASME. IDETC-CIE2009, Volume 7: 33rd Mechanisms and Robotics Conference, Parts A and B, 647-653, August 30–September 2, 2009
Publisher: American Society of Mechanical Engineers
Paper No: DETC2009-86294
https://doi.org/10.1115/DETC2009-86294
View Paper titled, Biological Inspired Flying Robot
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Topics: Robots, Flight, Robotics, Wings, Actuators, Algorithms, Computers, Construction, Dynamics (Mechanics), Simulation
Proceedings Papers

Fractional Dynamics: A Statistical Perspective

J. A. Tenreiro Machado, Alexandra Galhano
Proc. ASME. IDETC-CIE2007, Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 233-237, September 4–7, 2007
Publisher: American Society of Mechanical Engineers
Paper No: DETC2007-34340
https://doi.org/10.1115/DETC2007-34340
View Paper titled, Fractional Dynamics: A Statistical Perspective
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Topics: Dynamics (Mechanics)
Proceedings Papers

Fractional Dynamics in Mechanical Manipulation

Miguel F. M. Lima, J. A. Tenreiro Machado, Manuel Criso´stomo
Proc. ASME. IDETC-CIE2007, Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 313-320, September 4–7, 2007
Publisher: American Society of Mechanical Engineers
Paper No: DETC2007-35418
https://doi.org/10.1115/DETC2007-35418
View Paper titled, Fractional Dynamics in Mechanical Manipulation
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Topics: Containers, Control systems, Design, Dynamics (Mechanics), Manipulators, Sensors, Signals, Vibration
Proceedings Papers

A Fractional Calculus Perspective of PID Tuning

Ramiro S. Barbosa, J. A. Tenreiro Machado, Isabel M. Ferreira
Proc. ASME. IDETC-CIE2003, Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C, 651-659, September 2–6, 2003
Publisher: American Society of Mechanical Engineers
Paper No: DETC2003/VIB-48375
https://doi.org/10.1115/DETC2003/VIB-48375
View Paper titled, A Fractional Calculus Perspective of PID Tuning
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Topics: Control equipment, Optimization, Transfer functions