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arXiv 1407.6477eess.SYcs.SYnlin.AO
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混合系统与控制与分数动力学(一):建模与分析

Hybrid Systems and Control With Fractional Dynamics (I): Modeling and Analysis

Department of Electrical, Electronic and Automation Engineering, Industrial Engineering School, University of Extremadura(埃斯特雷马杜拉大学工业工程学院电气、电子与自动化工程系)

S. Hassan HosseinNia, Ines Tejado, Blas M. Vinagre

AI总结:

本文探讨了混合系统与分数阶系统结合的理论方法,分析了两种分数阶混合系统(切换与重置控制系统)的建模与稳定性,通过实例验证了理论的有效性。

摘要:

目前文献中尚无将混合系统与分数阶系统整合为统一整体的混合研究。本文聚焦于两者理论的协同方法,旨在提供额外的灵活性,帮助系统设计者。本文是两篇配套论文中的第一部分,介绍了分数阶混合系统的根本原理,特别是两种此类系统的建模和稳定性分析,即分数阶切换和重置控制系统。一些例子被给出以说明所发展理论的应用性和有效性。第二部分将专注于分数阶混合控制。

英文摘要:

No mixed research of hybrid and fractional-order systems into a cohesive and multifaceted whole can be found in the literature. This paper focuses on such a synergistic approach of the theories of both branches, which is believed to give additional flexibility and help to the system designer. It is part I of two companion papers and introduces the fundamentals of fractional-order hybrid systems, in particular, modeling and stability analysis of two kinds of such systems, i.e., fractional-order switching and reset control systems. Some examples are given to illustrate the applicability and effectiveness of the developed theory. Part II will focus on fractional-order hybrid control.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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