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Journal Articles

Initial Conditions and Initialization of Fractional Systems

Massinissa Tari, Nezha Maamri, Jean-Claude Trigeassou
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2016, 11(4): 041014.
Paper No: CND-15-1098
https://doi.org/10.1115/1.4032695
Published Online: March 16, 2016
View Article titled, Initial Conditions and Initialization of Fractional Systems
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Topics: Computer simulation, Impulse (Physics), Approximation, Algorithms
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
Proceedings Papers

Initialization Energy in Fractional-Order Systems

Tom T. Hartley, Jean-Claude Trigeassou, Carl F. Lorenzo, Nezha Maamri
Proc. ASME. IDETC-CIE2015, Volume 9: 2015 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, V009T07A023, August 2–5, 2015
Publisher: American Society of Mechanical Engineers
Paper No: DETC2015-46290
https://doi.org/10.1115/DETC2015-46290
View Paper titled, Initialization Energy in Fractional-Order Systems
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Topics: Laplace transforms
Proceedings Papers

On the Fractional Modelling of the Diffusive Interface

Nezha Maamri, Massinissa Tari, Jean-Claude Trigeassou
Proc. ASME. IDETC-CIE2015, Volume 9: 2015 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, V009T07A014, August 2–5, 2015
Publisher: American Society of Mechanical Engineers
Paper No: DETC2015-46027
https://doi.org/10.1115/DETC2015-46027
View Paper titled, On the Fractional Modelling of the Diffusive Interface
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Topics: Modeling, Approximation, Engineering prototypes, Heat transfer, Optimization
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)
Journal Articles

Energy Storage and Loss in Fractional-Order Systems

Tom T. Hartley, Jean-Claude Trigeassou, Carl F. Lorenzo, Nezha Maamri
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2015, 10(6): 061006.
Paper No: CND-14-1113
https://doi.org/10.1115/1.4029511
Published Online: November 1, 2015
View Article titled, Energy Storage and Loss in Fractional-Order Systems
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Topics: Approximation, Energy storage, Impulse (Physics), Laplace transforms, Resistors, Capacitors, Circuits, Dynamics (Mechanics), Inductors
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
Journal Articles

Equivalence of History-Function Based and Infinite-Dimensional-State Initializations for Fractional-Order Operators

Tom T. Hartley, Carl F. Lorenzo, Jean-Claude Trigeassou, Nezha Maamri
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2013, 8(4): 041014.
Paper No: CND-12-1164
https://doi.org/10.1115/1.4023865
Published Online: June 10, 2013
View Article titled, Equivalence of History-Function Based and Infinite-Dimensional-State Initializations for Fractional-Order Operators
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Topics: Differential equations, Laplace transforms, Impulse (Physics)
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