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Fractional Calculus
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ADROCO Research Group
Home
Opportunities
Research
Publications
ADROCO Toolbox
Learning Center
Fractional Calculus
Gallery
People
More
Home
Opportunities
Research
Publications
ADROCO Toolbox
Learning Center
Fractional Calculus
Gallery
People
Publications
Books and Book Chapters
Journal Papers
Conference Papers
Invited Talks
Books and Book Chapters
Moghaddam, Behrouz,
Dabiri A
, Tenreiro Machado, José. (2019). Application of variable-order fractional calculus in solid mechanics. 10.1515/9783110571905-011.
Butcher EA,
Dabiri A
, Nazari M. Stability and control of fractional periodic time-delayed systems. InTime Delay Systems 2017 (pp. 107-125). Springer, Cham.
Journal Papers
Dabiri A
, Butcher EA. Optimal observer-based feedback control for linear fractional-order systems with periodic coefficients. Journal of Vibration and Control. 2019 Apr;25(7):1379-92.
Dabiri A
, Butcher EA. Numerical solution of multi-order fractional differential equations with multiple delays via spectral collocation methods. Applied Mathematical Modelling. 2018 Apr 1;56:424-48.
Dabiri A
, Moghaddam BP, Machado JT. Optimal variable-order fractional PID controllers for dynamical systems. Journal of Computational and Applied Mathematics. 2018 Sep 1;339:40-8.
Moghaddam BP,
Dabiri A
, Lopes AM, Machado JT. Numerical solution of mixed-type fractional functional differential equations using modified Lucas polynomials. Computational and Applied Mathematics. 2019 Jun 1;38(2):46.
Dabiri A
, Butcher EA. Efficient modified Chebyshev differentiation matrices for fractional differential equations. Communications in Nonlinear Science and Numerical Simulation. 2017 Sep 1;50:284-310.
Dabiri A
, Butcher EA, Nazari M. Coefficient of restitution in fractional viscoelastic compliant impacts using fractional Chebyshev collocation. Journal of Sound and Vibration. 2017 Feb 3;388:230-44.
Dabiri A
, Butcher EA. Stable fractional Chebyshev differentiation matrix for the numerical solution of multi-order fractional differential equations. Nonlinear Dynamics. 2017 Oct 1;90(1):185-201.
Dabiri A
, Butcher EA, Poursina M, Nazari M. Optimal periodic-gain fractional delayed state feedback control for linear fractional periodic time-delayed systems. IEEE Transactions on Automatic Control. 2017 Jul 24;63(4):989-1002.
Kingsley C, Poursina M, Sabet S,
Dabiri A
. Logarithmic complexity dynamics formulation for computed torque control of articulated multibody systems. Mechanism and Machine Theory. 2017 Oct 1;116:481-500.
Butcher EA,
Dabiri A
, Nazari M. Transition curve analysis of linear fractional periodic time-delayed systems via explicit harmonic balance method. Journal of Computational and Nonlinear Dynamics. 2016 Jul 1;11(4):041005.
Conference Papers
Dabiri, Arman, and Laya Karimi. "A Chebyshev pseudospectral method for solving fractional-order optimal control problems."
2019 American Control Conference (ACC)
. IEEE, 2019.
Dabiri, Arman, and Laya Karimi. "The fractional Chebyshev collocation method for the numerical solution of fractional differential equations with Riemann-Liouville derivatives."
2019 American Control Conference (ACC)
. IEEE, 2019.
Yaylali, David, Eric A. Butcher, and Arman Dabiri. "Fractional PID Consensus Control Protocols for Second-Order Multiagent Systems."
AIAA Scitech 2019 Forum
. 2019.
Karimi R, Dabiri A, Cheng J, Butcher EA. Probabilistic-robust optimal control for uncertain linear time-delay systems by state feedback controllers with memory. In2018 Annual American Control Conference (ACC) 2018 Jun 27 (pp. 4183-4188). IEEE.
Dabiri A, Butcher EA. The FCC Stability Criterion for Fractional-Order Linear Time-Invariant Systems with Commensurate or Incommensurate Orders. In2018 Annual American Control Conference (ACC) 2018 Jun 27 (pp. 2839-2844). IEEE.
Dabiri A, Poursina M, Butcher EA. Integration of Divide-and-Conquer Algorithm with Fractional Order Controllers for the Efficient Dynamic Modeling and Control of Multibody Systems. In2018 Annual American Control Conference (ACC) 2018 Jun 27 (pp. 4201-4206). IEEE.
Dabiri A, Butcher EA, Nazari M. Phase-Variable Canonical State-Space Realizations and Initializations for Linear Time-Invariant Multi-term Fractional Differential Equations. In2018 Annual American Control Conference (ACC) 2018 Jun 27 (pp. 1238-1243). IEEE.
Dabiri A, Butcher EA. Fractional Chebyshev collocation method for solving linear fractional-order delay-differential equations. In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2017 Aug 6 (pp. V006T10A066-V006T10A066). American Society of Mechanical Engineers.
Dabiri A, Butcher EA. Design of optimal fractional Luenberger observers for linear fractional-order systems. In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2017 Aug 6 (pp. V006T10A019-V006T10A019). American Society of Mechanical Engineers.
Dabiri A, Sabet S, Poursina M, Armstrong DG, Nikravesh PE. An optimal Stewart platform for lower extremity robotic rehabilitation. In 2017 American Control Conference (ACC) 2017 May 24 (pp. 5294-5299). IEEE.
Sabet S, Dabiri A, Armstrong DG, Poursina M. Computed Torque Control of the Stewart platform with uncertainty for lower extremity robotic rehabilitation. In2017 American Control Conference (ACC) 2017 May 24 (pp. 5058-5064). IEEE.
Dabiri A, Sabet S, Poursina M, Nikravesh PE, Armstrong DG. Kinematics and Dynamics Comparison Between Three Parallel Robots for Lower Extremity Rehabilitation. InASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2017 Aug 6 (pp. V006T10A021-V006T10A021). American Society of Mechanical Engineers.
Dabiri A, Nazari M, Butcher EA. Adaptive neural-fuzzy inference system to control dynamical systems with fractional order dampers. In 2017 American Control Conference (ACC) 2017 May 24 (pp. 1972-1977). IEEE
Dabiri A, Butcher EA, Nazari M. Modelling one-dimensional fractional impact using basic fractional viscoelastic models. In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2016 Aug 21 (pp. V006T09A064-V006T09A064). American Society of Mechanical Engineers.
Dabiri A, Madril E. Isothermal Creep Behavior of 3M™ Scotch-Weld™ EC-2216 B\A in Single Lap Joints. InASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2016 Aug 21 (pp. V006T09A019-V006T09A019). American Society of Mechanical Engineers.
Butcher E, Nazari M, Dabiri A, Sanyal AK. Fractional pid control of spacecraft attitude dynamics using rotation matrices. In Proceedings of the International Astronautical Congress, IAC 2016. International Astronautical Federation, IAF.
Dabiri A, Butcher EA, Poursina M. Fractional delayed control design for linear periodic systems. InASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2016 Aug 21 (pp. V006T09A063-V006T09A063). American Society of Mechanical Engineers.
Dabiri A, Nazari M, Butcher EA. Linguistic Fuzzy Logic Control of a Double Inverted Pendulum With Destabilizing Fractional Dampers. In ASME 2016 International Mechanical Engineering Congress and Exposition 2016 Nov 11 (pp. V04AT05A005-V04AT05A005). American Society of Mechanical Engineers.
Dabiri A, Nazari M, Butcher EA. The spectral parameter estimation method for parameter identification of linear fractional order systems. In 2016 American control conference (ACC) 2016 Jul 6 (pp. 2772-2777). IEEE.
Dabiri A, Nazari M, Butcher EA. Optimal fractional state feedback control for linear fractional periodic time-delayed systems. In 2016 American Control Conference (ACC) 2016 Jul 6 (pp. 2778-2783). IEEE.
Dabiri A, Nazari M, Butcher EA. Chaos analysis and control in fractional order systems using fractional Chebyshev collocation method. ASME Paper No. IMECE2016-67909. 2016 Nov 11.
Dabiri A, Nazari M, Butcher EA. Explicit harmonic balance method for transition curve analysis of linear fractional periodic time-delayed systems. IFAC-PapersOnLine. 2015 Jan 1;48(12):39-44.
Dabiri A. Micro Double Pressure Sensor for Measuring the Applying Forces in Balloon Angioplasty. In ASME 2013 International Mechanical Engineering Congress and Exposition 2013 Nov 15 (pp. V010T11A071-V010T11A071). American Society of Mechanical Engineers.
Moosavian SA, Dabiri A. Modified Force Distribution Method Based on Explicit Dynamics of a Hexapod Robot.
Moosavian SA, Dabiri A. Dynamics and planning for stable motion of a hexapod robot. In 2010 IEEE/ASME International Conference on Advanced Intelligent Mechatronics 2010 Jul 6 (pp. 818-823). IEEE.
Invited Talks
A. Dabiri
, Nonlocal Operators in Dynamics and Control: Theories and Applications,” in SIAM Conference on Computational Science and Engineering (CSE19), in Washington, US, 2019.
E. A. Butcher and
A. Dabiri
, Chaos Control in Fractional-order Systems Using Fractional Chebyshev Collocation Method,” in the 9th European Nonlinear Dynamics Conference (ENOC 2017) , in Budapest, Hungary, 2017.
E. A. Butcher and
A. Dabiri
, Stability and Control of the Fractional Damped Delayed Mathieu Equation,” in the 9th European Nonlinear Dynamics Conference (ENOC 2017) , in Budapest, Hungary, 2017.
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