Limit Cycle Analysis in a Class of Hybrid Systems
Joint Authors
Favela-Contreras, Antonio
Beltrán-Carbajal, Francisco
Piñón, Alejandro
Raimondi, Angelo
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-10
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Hybrid systems are those that inherently combine discrete and continuous dynamics.
This paper considers the hybrid system model to be an extension of the discrete automata associating a continuous evolution with each discrete state.
This model is called the hybrid automaton.
In this work, we achieve a mathematical formulation of the steady state and we show a way to obtain the initial conditions region to reach a specific limit cycle for a class of uncoupled and coupled continuous-linear hybrid systems.
The continuous-linear term is used in the sense of the system theory and, in this sense, continuous-linear hybrid automata will be defined.
Thus, some properties and theorems that govern the hybrid automata dynamic behavior to evaluate a limit cycle existence have been established; this content is explained under a theoretical framework.
American Psychological Association (APA)
Favela-Contreras, Antonio & Beltrán-Carbajal, Francisco& Piñón, Alejandro& Raimondi, Angelo. 2016. Limit Cycle Analysis in a Class of Hybrid Systems. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1111966
Modern Language Association (MLA)
Favela-Contreras, Antonio…[et al.]. Limit Cycle Analysis in a Class of Hybrid Systems. Mathematical Problems in Engineering No. 2016 (2016), pp.1-14.
https://search.emarefa.net/detail/BIM-1111966
American Medical Association (AMA)
Favela-Contreras, Antonio & Beltrán-Carbajal, Francisco& Piñón, Alejandro& Raimondi, Angelo. Limit Cycle Analysis in a Class of Hybrid Systems. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1111966
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1111966