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Proceedings Papers

Energy Stored in Fractional-Order Elements With Constant Inputs

Tom T. Hartley, Robert J. Veillette, Jay L. Adams, Carl F. Lorenzo
Proc. ASME. IDETC-CIE2015, Volume 9: 2015 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, V009T07A044, August 2–5, 2015
Publisher: American Society of Mechanical Engineers
Paper No: DETC2015-47450
https://doi.org/10.1115/DETC2015-47450
View Paper titled, Energy Stored in Fractional-Order Elements With Constant Inputs
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Topics: Circuits, Energy storage
Proceedings Papers

Mathematical Classification of the Spiral and Ring Galaxy Morphologies Based on the Fractional Trigonometry

Carl F. Lorenzo, Tom T. Hartley
Proc. ASME. IDETC-CIE2015, Volume 9: 2015 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, V009T07A022, August 2–5, 2015
Publisher: American Society of Mechanical Engineers
Paper No: DETC2015-46279
https://doi.org/10.1115/DETC2015-46279
View Paper titled, Mathematical Classification of the Spiral and Ring Galaxy Morphologies Based on the Fractional Trigonometry
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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

Realizations for Determining the Energy Stored in Fractional-Order Operators

Tom T. Hartley, Carl F. Lorenzo
Proc. ASME. IDETC-CIE2015, Volume 9: 2015 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, V009T07A024, August 2–5, 2015
Publisher: American Society of Mechanical Engineers
Paper No: DETC2015-46291
https://doi.org/10.1115/DETC2015-46291
View Paper titled, Realizations for Determining the Energy Stored in Fractional-Order Operators
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Topics: Circuits, Energy storage, Mechanical admittance, Transients (Dynamics)
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
Journal Articles

Energy Considerations for Mechanical Fractional-Order Elements

Carl F. Lorenzo, Tom T. Hartley
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2015, 10(1): 011014.
Paper No: CND-13-1192
https://doi.org/10.1115/1.4025772
Published Online: October 13, 2014
View Article titled, Energy Considerations for Mechanical Fractional-Order Elements
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Topics: Displacement, Physics, Modeling
Proceedings Papers

On the Energy Stored in Fractional-Order Electrical Elements

Tom T. Hartley, Robert J. Veillette, Carl F. Lorenzo, Jay L. Adams
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, V004T08A032, August 4–7, 2013
Publisher: American Society of Mechanical Engineers
Paper No: DETC2013-13498
https://doi.org/10.1115/DETC2013-13498
View Paper titled, On the Energy Stored in Fractional-Order Electrical Elements
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Topics: Circuits, Energy storage, Inductors
Proceedings Papers

Energy Considerations for Fractional Elements

Carl F. Lorenzo, Tom T. Hartley
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, V004T08A029, August 4–7, 2013
Publisher: American Society of Mechanical Engineers
Paper No: DETC2013-13247
https://doi.org/10.1115/DETC2013-13247
View Paper titled, Energy Considerations for Fractional Elements
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Topics: Displacement, Kinetic energy, Modeling, Momentum, Physics
Proceedings Papers

Influence of Charge Transfer Interconnection Topology on State of Charge Performance in Battery Packs: Simulation Results

D. Dane Quinn, Tom T. Hartley
Proc. ASME. IDETC-CIE2012, Volume 6: 1st Biennial International Conference on Dynamics for Design; 14th International Conference on Advanced Vehicle Technologies, 159-164, August 12–15, 2012
Publisher: American Society of Mechanical Engineers
Paper No: DETC2012-71058
https://doi.org/10.1115/DETC2012-71058
View Paper titled, Influence of Charge Transfer Interconnection Topology on State of Charge Performance in Battery Packs: Simulation Results
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Topics: Batteries, Charge transfer, Simulation results, Topology, Design, Simulation
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

The Solution of Linear Fractional Differential Equations Using the Fractional Meta-Trigonometric Functions

Carl F. Lorenzo, Rachid Malti, Tom T. Hartley
Proc. ASME. IDETC-CIE2011, Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B, 155-161, August 28–31, 2011
Publisher: American Society of Mechanical Engineers
Paper No: DETC2011-47395
https://doi.org/10.1115/DETC2011-47395
View Paper titled, The Solution of Linear Fractional Differential Equations Using the Fractional Meta-Trigonometric Functions
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Topics: Differential equations
Proceedings Papers

Time-Varying Initialization and Laplace Transform of the Caputo Derivative: With Order Between Zero and One

Carl F. Lorenzo, Tom T. Hartley
Proc. ASME. IDETC-CIE2011, Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B, 163-168, August 28–31, 2011
Publisher: American Society of Mechanical Engineers
Paper No: DETC2011-47396
https://doi.org/10.1115/DETC2011-47396
View Paper titled, Time-Varying Initialization and Laplace Transform of the Caputo Derivative: With Order Between Zero and One
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Topics: Laplace transforms
Proceedings Papers

The Initialization Response of Multi-Term Linear Fractional-Order Systems With Constant History Functions

Tom T. Hartley, Carl F. Lorenzo
Proc. ASME. IDETC-CIE2011, Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B, 339-351, August 28–31, 2011
Publisher: American Society of Mechanical Engineers
Paper No: DETC2011-48016
https://doi.org/10.1115/DETC2011-48016
View Paper titled, The Initialization Response of Multi-Term Linear Fractional-Order Systems With Constant History Functions
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Topics: Differential equations, Laplace transforms
Proceedings Papers

An Experimental Validation of the Time-Varying Initialization Response in Fractional-Order Systems

Tom Gambone, Tom T. Hartley, Carl F. Lorenzo, Jay L. Adams, Robert J. Veillette
Proc. ASME. IDETC-CIE2011, Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B, 115-122, August 28–31, 2011
Publisher: American Society of Mechanical Engineers
Paper No: DETC2011-47250
https://doi.org/10.1115/DETC2011-47250
View Paper titled, An Experimental Validation of the Time-Varying Initialization Response in Fractional-Order Systems
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Topics: Aluminum, Heat conduction, Laplace transforms
Proceedings Papers

Initialization of Fractional-Order Systems Using the Hankel Operator

Jay L. Adams, Robert J. Veillette, Tom T. Hartley
Proc. ASME. IDETC-CIE2011, Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B, 395-401, August 28–31, 2011
Publisher: American Society of Mechanical Engineers
Paper No: DETC2011-48426
https://doi.org/10.1115/DETC2011-48426
View Paper titled, Initialization of Fractional-Order Systems Using the Hankel Operator
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Topics: Approximation
Proceedings Papers

The Initialization Response of Linear Fractional-Order Systems With Constant History Function

Tom T. Hartley, Carl F. Lorenzo
Proc. ASME. IDETC-CIE2009, Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 1321-1325, August 30–September 2, 2009
Publisher: American Society of Mechanical Engineers
Paper No: DETC2009-87631
https://doi.org/10.1115/DETC2009-87631
View Paper titled, The Initialization Response of Linear Fractional-Order Systems With Constant History Function
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Proceedings Papers

The Initialization Response of Linear Fractional-Order Systems With Ramp History Functions

Tom T. Hartley, Carl F. Lorenzo
Proc. ASME. IDETC-CIE2009, Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 1327-1332, August 30–September 2, 2009
Publisher: American Society of Mechanical Engineers
Paper No: DETC2009-87643
https://doi.org/10.1115/DETC2009-87643
View Paper titled, The Initialization Response of Linear Fractional-Order Systems With Ramp History Functions
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Proceedings Papers

Estimation of the Hankel Singular Values of Fractional-Order Systems

Jay L. Adams, Robert J. Veillette, Tom T. Hartley
Proc. ASME. IDETC-CIE2009, Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 1247-1252, August 30–September 2, 2009
Publisher: American Society of Mechanical Engineers
Paper No: DETC2009-87289
https://doi.org/10.1115/DETC2009-87289
View Paper titled, Estimation of the Hankel Singular Values of Fractional-Order Systems
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Topics: Algorithms, Rayleigh-Ritz methods
Proceedings Papers

The Error Incurred in Using the Caputo-Derivative Laplace-Transform

Tom T. Hartley, Carl F. Lorenzo
Proc. ASME. IDETC-CIE2009, Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 271-278, August 30–September 2, 2009
Publisher: American Society of Mechanical Engineers
Paper No: DETC2009-87648
https://doi.org/10.1115/DETC2009-87648
View Paper titled, The Error Incurred in Using the Caputo-Derivative Laplace-Transform
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Topics: Errors, Laplace transforms, Differential equations
Proceedings Papers

On Self-Consistent Operators With Application to Operators of Fractional Order

Carl F. Lorenzo, Tom T. Hartley
Proc. ASME. IDETC-CIE2009, Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 1069-1075, August 30–September 2, 2009
Publisher: American Society of Mechanical Engineers
Paper No: DETC2009-86730
https://doi.org/10.1115/DETC2009-86730
View Paper titled, On Self-Consistent Operators With Application to Operators of Fractional Order
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Topics: Laplace transforms