Hybrid Systems and Control With Fractional Dynamics (I): Modeling and Analysis
Abstract
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.
Cite
@article{arxiv.1407.6477,
title = {Hybrid Systems and Control With Fractional Dynamics (I): Modeling and Analysis},
author = {S. Hassan HosseinNia and Ines Tejado and Blas M. Vinagre},
journal= {arXiv preprint arXiv:1407.6477},
year = {2014}
}
Comments
2014 International Conference on Fractional Differentiation and its Application, Italy