2014/07/24 by S. Hassan HosseinNia, Inés Tejado, HosseinNia, S. Hassan +3
Engineering · #Adaptation and Self-Organizing Systems (nlin.AO) #Advanced Control Systems Design #Extremum Seeking Control Systems #FOS: Electrical engineering #FOS: Physical sciences #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1407.6477
openalex publication_date 2014/07/24 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28
No mixed research of hybrid and fractional-order systems into a cohesive and\nmultifaceted whole can be found in the literature. This paper focuses on such a\nsynergistic approach of the theories of both branches, which is believed to\ngive additional flexibility and help to the system designer. It is part I of\ntwo companion papers and introduces the fundamentals of fractional-order hybrid\nsystems, in particular, modeling and stability analysis of two kinds of such\nsystems, i.e., fractional-order switching and reset control systems. Some\nexamples are given to illustrate the applicability and effectiveness of the\ndeveloped theory. Part II will focus on fractional-order hybrid control.\n