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On the energy decay of a nonlinear time-fractional Euler–Bernoulli beam problem including time-delay: theoretical treatment and numerical solution techniques
Adaptive iterative learning control for a class of parameterized fractional-order systems subjected to backlash-like hysteresis
Hong Wang, Jianming Wei and Zhe Wang Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 238(3) 410 (2024) https://doi.org/10.1177/09596518231208221
Novel Variants of Diffusive Representation of Fractional Integrals: Construction and Numerical Computation
Trends, directions for further research, and some open problems of fractional calculus
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Proceedings of the International Conference on Fractional Differentiation and its Applications (ICFDA’21)
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Verteilt-parametrische Modelle zur Beschreibung des nichtlinearen fraktionalen Verhaltens von Lithium-Ionen-Zellen
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Diffusive Representation: A Powerful Method to Analyze Temporal Signals from Metal-Oxide Gas Sensors Used in Pulsed Mode
Robust observer‐based‐controller design for uncertain fractional‐order time‐varying‐delay systems
Yassine Boukal, Mohamed Darouach, Michel Zasadzinski and Nour Eddine Radhy International Journal of Robust and Nonlinear Control 31(13) 6314 (2021) https://doi.org/10.1002/rnc.5638
Thermal monitoring of the stator winding insulating part by a reliable thermal model for failure mitigation
Fractional‐order controllers for irrational systems
Adrian‐Josue Guel‐Cortez, César‐Fernando Méndez‐Barrios, Eun‐jin Kim and Mihir Sen IET Control Theory & Applications 15(7) 965 (2021) https://doi.org/10.1049/cth2.12095
Passive optimal feedback control of an articulated flexible arm
A diffusive representation approach toward H∞ sliding mode control design for fractional-order Markovian jump systems
Majid Parvizian and Khosro Khandani Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 235(7) 1154 (2021) https://doi.org/10.1177/0959651820975251
Optimal State Control of Fractional Order Differential Systems: The Infinite State Approach
A non-fragile observer-based adaptive sliding mode control for fractional-order Markovian jump systems with time delay and input nonlinearity
Majid Parvizian, Khosro Khandani and Vahid Johari Majd Transactions of the Institute of Measurement and Control 42(8) 1448 (2020) https://doi.org/10.1177/0142331219891590
Some Alternative Solutions to Fractional Models for Modelling Power Law Type Long Memory Behaviours
Lyapunov Stability of a Fractionally Damped Oscillator with Linear (Anti-)Damping
Matthias Hinze, André Schmidt and Remco I. Leine International Journal of Nonlinear Sciences and Numerical Simulation 21(5) 425 (2020) https://doi.org/10.1515/ijnsns-2018-0381
Beyond the particular case of circuits with geometrically distributed components for approximation of fractional order models: Application to a new class of model for power law type long memory behaviour modelling
Large‐scale fractional‐order systems: stability analysis and their decentralised functional observers design
Yassine Boukal, Mohamed Darouach, Michel Zasadzinski and Nour‐Eddine Radhy IET Control Theory & Applications 12(3) 359 (2018) https://doi.org/10.1049/iet-cta.2017.0264
High-order sliding mode observer for fractional commensurate linear systems with unknown input
High gain observer design for fractional‐order non‐linear systems with delayed measurements: application to synchronisation of fractional‐order chaotic systems
Initialization of Identification of Fractional Model by Output-Error Technique
Abir Khadhraoui, Khaled Jelassi, Jean-Claude Trigeassou and Pierre Melchior Journal of Computational and Nonlinear Dynamics 11(2) (2016) https://doi.org/10.1115/1.4030541
Convergence of Laguerre Impulse Response Approximation for Noninteger Order Systems
Energy Storage and Loss in Fractional-Order Systems
Tom T. Hartley, Jean-Claude Trigeassou, Carl F. Lorenzo and Nezha Maamri Journal of Computational and Nonlinear Dynamics 10(6) (2015) https://doi.org/10.1115/1.4029511
Fractional systems state space description: some wrong ideas and proposed solutions
Advances in the Theory and Applications of Non-integer Order Systems
Piotr Grabowski Lecture Notes in Electrical Engineering, Advances in the Theory and Applications of Non-integer Order Systems 257 101 (2013) https://doi.org/10.1007/978-3-319-00933-9_9