Nonlinear Fractional-Order Circuits and Systems: Motivation, A Brief Overview, and Some Future Directions

• Published in: IEEE open journal of circuits and systems Vol. 1; pp. 220 - 232
• Main Authors: Tavazoei, Mohammad Saleh, Tavakoli-Kakhki, Mahsan, Bizzarri, Federico
• Format: Journal Article
• Language: English
• Published: New York IEEE 2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Capacitors; Circuit design; Circuits; Design analysis; Differential equations; Dynamic models; dynamical behavior analysis; Fractional-order circuits and systems; fractional-order electrical elements; Inductors; Integrated circuit modeling; Memristors; nonlinear circuits and systems; Nonlinear dynamics; Operators (mathematics); Stability analysis; System effectiveness

In recent years, fractional-order differential operators, and the dynamic models constructed based on these generalized operators have been widely considered in design and practical implementation of electrical circuits and systems. Simultaneously, facing with fractional-order dynamics and the nonli...