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Journal Articles

Lyapunov Stability of Commensurate Fractional Order Systems: A Physical Interpretation

Jean-Claude Trigeassou, Nezha Maamri, Alain Oustaloup
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2016, 11(5): 051007.
Paper No: CND-15-1184
https://doi.org/10.1115/1.4032387
Published Online: February 3, 2016
View Article titled, Lyapunov Stability of Commensurate Fractional Order Systems: A Physical Interpretation
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Topics: Energy budget (Physics), Stability, Circuits
Journal Articles

Lyapunov Stability of Noncommensurate Fractional Order Systems: An Energy Balance Approach

Jean-Claude Trigeassou, Nezha Maamri, Alain Oustaloup
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2016, 11(4): 041007.
Paper No: CND-15-1183
https://doi.org/10.1115/1.4031841
Published Online: November 19, 2015
View Article titled, Lyapunov Stability of Noncommensurate Fractional Order Systems: An Energy Balance Approach
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Topics: Circuits, Stability, Energy budget (Physics)
Proceedings Papers

Lyapunov Stability of Linear Fractional Systems: Part 1 — Definition of Fractional Energy

Jean-Claude Trigeassou, Nezha Maamri, Alain Oustaloup
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, V004T08A025, August 4–7, 2013
Publisher: American Society of Mechanical Engineers
Paper No: DETC2013-12824
https://doi.org/10.1115/DETC2013-12824
View Paper titled, Lyapunov Stability of Linear Fractional Systems: Part 1 — Definition of Fractional Energy
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Topics: Stability
Proceedings Papers

Lyapunov Stability of Linear Fractional Systems: Part 2 — Derivation of a Stability Condition

Jean-Claude Trigeassou, Nezha Maamri, Alain Oustaloup
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, V004T08A026, August 4–7, 2013
Publisher: American Society of Mechanical Engineers
Paper No: DETC2013-12830
https://doi.org/10.1115/DETC2013-12830
View Paper titled, Lyapunov Stability of Linear Fractional Systems: Part 2 — Derivation of a Stability Condition
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Topics: Stability
Proceedings Papers

Fractional Thermal Model of the Lungs Using Havriliak-Negami Function

Mathieu Pellet, Pierre Melchior, Youssef Abdelmoumen, Alain Oustaloup
Proc. ASME. IDETC-CIE2011, Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B, 805-810, August 28–31, 2011
Publisher: American Society of Mechanical Engineers
Paper No: DETC2011-48095
https://doi.org/10.1115/DETC2011-48095
View Paper titled, Fractional Thermal Model of the Lungs Using Havriliak-Negami Function
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Topics: Lung, Artificial hearts, Blood, Cardiovascular system, Fractals, Machinery, Surgery, Thermal properties, Thermal systems
Proceedings Papers

Initialization of Riemann-Liouville and Caputo Fractional Derivatives

Jean-Claude Trigeassou, Nezha Maamri, Alain Oustaloup
Proc. ASME. IDETC-CIE2011, Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B, 219-226, August 28–31, 2011
Publisher: American Society of Mechanical Engineers
Paper No: DETC2011-47633
https://doi.org/10.1115/DETC2011-47633
View Paper titled, Initialization of Riemann-Liouville and Caputo Fractional Derivatives
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Topics: Computer simulation
Proceedings Papers

Instrumental Variable Method for Identifying Fractional Box-Jenkins Models

Ste´phane Victor, Rachid Malti, Alain Oustaloup
Proc. ASME. IDETC-CIE2009, Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 1197-1204, August 30–September 2, 2009
Publisher: American Society of Mechanical Engineers
Paper No: DETC2009-86984
https://doi.org/10.1115/DETC2009-86984
View Paper titled, Instrumental Variable Method for Identifying Fractional Box-Jenkins Models
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Topics: Noise (Sound), Simulation, Transfer functions
Proceedings Papers

From System Identification to Path Planning Using Fractional Approach: A Thermal Application Example

Ste´phane Victor, Rachid Malti, Pierre Melchior, Alain Oustaloup
Proc. ASME. IDETC-CIE2009, Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 235-242, August 30–September 2, 2009
Publisher: American Society of Mechanical Engineers
Paper No: DETC2009-87014
https://doi.org/10.1115/DETC2009-87014
View Paper titled, From System Identification to Path Planning Using Fractional Approach: A Thermal Application Example
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Topics: Path planning, Aluminum, Algorithms, Heat flux, Temperature, Thermal diffusion
Proceedings Papers

On Observability of Fractional Order Systems

Jocelyn Sabatier, Mathieu Merveillaut, Ludovic Fenetau, Alain Oustaloup
Proc. ASME. IDETC-CIE2009, Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 253-260, August 30–September 2, 2009
Publisher: American Society of Mechanical Engineers
Paper No: DETC2009-87262
https://doi.org/10.1115/DETC2009-87262
View Paper titled, On Observability of Fractional Order Systems
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Topics: Design
Proceedings Papers

Improvement of Hydractive Suspension Hard Mode Confort Thanks to a Low Frequency Active CRONE System: Part 1—Problematics, Strategy and Modelling

Xavier Moreau, Audrey Rizzo, Alain Oustaloup, Vincent Hernette
Proc. ASME. IDETC-CIE2009, Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 1077-1086, August 30–September 2, 2009
Publisher: American Society of Mechanical Engineers
Paper No: DETC2009-86778
https://doi.org/10.1115/DETC2009-86778
View Paper titled, Improvement of Hydractive Suspension Hard Mode Confort Thanks to a Low Frequency Active CRONE System: Part 1—Problematics, Strategy and Modelling
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Topics: Modeling, Engineering simulation, Simulation, Suspension systems
Proceedings Papers

Improvement of Hydractive Suspension Hard Mode Confort Thanks to a Low Frequency Active CRONE System: Part 2—Control Part and Simulation Results

Xavier Moreau, Audrey Rizzo, Alain Oustaloup, Vincent Hernette
Proc. ASME. IDETC-CIE2009, Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 1087-1094, August 30–September 2, 2009
Publisher: American Society of Mechanical Engineers
Paper No: DETC2009-86782
https://doi.org/10.1115/DETC2009-86782
View Paper titled, Improvement of Hydractive Suspension Hard Mode Confort Thanks to a Low Frequency Active CRONE System: Part 2—Control Part and Simulation Results
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Topics: Design, Feedback, Feedforward control, Modeling, Physics, Robust control, Simulation results, Stability, Suspension systems, Vehicles
Proceedings Papers

A New CRONE Suspension: More Compact and More Efficient: Part 1—Problematics and Specifications

Audrey Rizzo, Xavier Moreau, Alain Oustaloup, Vincent Hernette
Proc. ASME. IDETC-CIE2009, Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 1095-1102, August 30–September 2, 2009
Publisher: American Society of Mechanical Engineers
Paper No: DETC2009-86783
https://doi.org/10.1115/DETC2009-86783
View Paper titled, A New CRONE Suspension: More Compact and More Efficient: Part 1—Problematics and Specifications
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Topics: Suspension systems, Wheels
Proceedings Papers

A New CRONE Suspension: More Compact and More Efficient: Part 2—Synthesis and Achievement

Audrey Rizzo, Xavier Moreau, Alain Oustaloup, Vincent Hernette
Proc. ASME. IDETC-CIE2009, Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 1103-1111, August 30–September 2, 2009
Publisher: American Society of Mechanical Engineers
Paper No: DETC2009-86785
https://doi.org/10.1115/DETC2009-86785
View Paper titled, A New CRONE Suspension: More Compact and More Efficient: Part 2—Synthesis and Achievement
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Topics: Design, Robustness, Stability, Suspension systems, Transfer functions, Uncertainty, Vibration isolation
Proceedings Papers

Path Tracking Design Based on Jerk Input Fractional Prefilter and Jerk Limited Input Shaper Approaches

Pierre Melchior, Rim Jallouli-Khlif, Bruno Orsoni, Nabil Derbel, Alain Oustaloup
Proc. ASME. IDETC-CIE2007, Volume 4: ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications and the 19th Reliability, Stress Analysis, and Failure Prevention Conference, 313-319, September 4–7, 2007
Publisher: American Society of Mechanical Engineers
Paper No: DETC2007-35518
https://doi.org/10.1115/DETC2007-35518
View Paper titled, Path Tracking Design Based on Jerk Input Fractional Prefilter and Jerk Limited Input Shaper Approaches
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Topics: Design, Actuators, Impulse (Physics), Signals
Proceedings Papers

System Identification Using Fractional Models: State of the Art

Rachid Malti, Ste´phane Victor, Olivier Nicolas, Alain Oustaloup
Proc. ASME. IDETC-CIE2007, Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 295-304, September 4–7, 2007
Publisher: American Society of Mechanical Engineers
Paper No: DETC2007-35332
https://doi.org/10.1115/DETC2007-35332
View Paper titled, System Identification Using Fractional Models: State of the Art
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Topics: Errors, Nonlinear programming, Simulation, Stability
Proceedings Papers

Attractive Force Based on Fractional Potential in Dynamic Motion Planning for Mobile Robot

Pierre Melchior, Brahim Metoui, Alexandre Poty, Slaheddine Najar, Alain Oustaloup, Mohamed Naceur Abdelkrim
Proc. ASME. IDETC-CIE2007, Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 1423-1430, September 4–7, 2007
Publisher: American Society of Mechanical Engineers
Paper No: DETC2007-35495
https://doi.org/10.1115/DETC2007-35495
View Paper titled, Attractive Force Based on Fractional Potential in Dynamic Motion Planning for Mobile Robot
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Topics: Mobile robots, Path planning, Design, Roads
Journal Articles

Application of CRONE Control to a Sampled Time Varying System With Periodic Coefficients

Jocelyn Sabatier, Aitor Garcia Iturricha, Mathieu Moze, Alain Oustaloup
Journal: Journal of Dynamic Systems, Measurement, and Control
Publisher: ASME
Article Type: Research Papers
J. Dyn. Sys., Meas., Control. November 2008, 130(6): 061005.
https://doi.org/10.1115/1.2957629
Published Online: September 25, 2008
View Article titled, Application of CRONE Control to a Sampled Time Varying System With Periodic Coefficients
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Topics: Control equipment, Feedback, Theorems (Mathematics), Time-varying systems, Robust control, Closed loop systems, Stability, Optimization
Proceedings Papers

Numerical Simulations of Fractional Systems

Mohamed Aoun, Rachid Malti, Franc¸ois Levron, Alain Oustaloup
Proc. ASME. IDETC-CIE2003, Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C, 745-752, September 2–6, 2003
Publisher: American Society of Mechanical Engineers
Paper No: DETC2003/VIB-48389
https://doi.org/10.1115/DETC2003/VIB-48389
View Paper titled, Numerical Simulations of Fractional Systems
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Topics: Computer simulation, Simulation, Approximation, Design, Modeling, Poles (Building)
Proceedings Papers

Robust Speed Control of a Low Damped Four Mass System Based on CRONE Control

Jocelyn Sabatier, Serge Poullain, Patrick Latteux, Alain Oustaloup, Jean Luc Thomas
Proc. ASME. IDETC-CIE2003, Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C, 625-631, September 2–6, 2003
Publisher: American Society of Mechanical Engineers
Paper No: DETC2003/VIB-48372
https://doi.org/10.1115/DETC2003/VIB-48372
View Paper titled, Robust Speed Control of a Low Damped Four Mass System Based on CRONE Control
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Topics: Computation, Control equipment, Errors, Sensors, Stress, Torque
Proceedings Papers

Modal Placement Control Method for Fractional Systems: Application to a Testing Bench

Jocelyn Sabatier, Olivier Cois, Alain Oustaloup
Proc. ASME. IDETC-CIE2003, Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C, 633-639, September 2–6, 2003
Publisher: American Society of Mechanical Engineers
Paper No: DETC2003/VIB-48373
https://doi.org/10.1115/DETC2003/VIB-48373
View Paper titled, Modal Placement Control Method for Fractional Systems: Application to a Testing Bench
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Topics: Dynamic models, Eigenvalues, Feedback, Temperature control, Testing, Thermal systems