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Nonlinear Fractional-Order Circuits and Systems: Motivation, A Brief Overview, and Some Future Directions
IEEE Open Journal of Circuits and Systems Pub Date : 2020-10-07 , DOI: 10.1109/ojcas.2020.3029254
Mohammad Saleh Tavazoei , Mahsan Tavakoli-Kakhki , Federico Bizzarri

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 nonlinear ones in electrical circuits and systems enforces us to use more advanced tools (in comparison to those commonly used in design and analysis of linear fractional-order/nonlinear integer-order circuits and systems) for their analysis, design, and implementation. Discussing on such a motivation, this tutorial paper aims to provide an overview on the recent achievements in proposing effective tools for analysis and design of nonlinear fractional-order circuits and systems. Moreover, some open problems, which can specify future directions for continuing research works on the aforementioned subject, are discussed.

中文翻译:

非线性分数阶电路和系统:动机,简要概述和未来的方向

近年来,分数阶微分算子以及基于这些广义算子构造的动力学模型已在电路和系统的设计和实际实现中得到广泛考虑。同时,面对分数阶动力学以及电路和系统中的非线性动力学,迫使我们使用更高级的工具(与线性分数阶/非线性整数阶电路和系统的设计和分析中常用的工具相比)他们的分析,设计和实施。在讨论这种动机时,本教程文件旨在概述在提出用于分析和设计非线性分数阶电路和系统的有效工具方面的最新成就。此外,还有一些未解决的问题,
更新日期:2020-12-15
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