Chaotic Synchronization in a Small Network of a Class of PowerSystems via Contraction Analysis
Joint Authors
Solís-Perales, Gualberto
Ruiz-Velázquez, E.
García-Rodríguez, J. A.
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-08
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper presents a synchronization analysis of networks of a class of power systems using the contraction theory for nonlinear systems.
This analysis is characterized by not being based on Lyapunov's stability theory, that is, it is not required to determine a Lyapunov candidate function.
Moreover, from the contraction conditions, robustness of the synchronization can be obtained, in this sense, the analysis method is robust.
The analysis consists in identifying or proposing a virtual or auxiliary system which is contracting in a region of the state space.
It is intended that in this region the trajectories of the systems on the network converge to those of the virtual system and then obtain the synchronization of the systems in the network.
The contribution consists in applying this nontraditional analysis to the problem of chaotic synchronization of a network of a class of power systems.
American Psychological Association (APA)
Solís-Perales, Gualberto& Ruiz-Velázquez, E.& García-Rodríguez, J. A.. 2012. Chaotic Synchronization in a Small Network of a Class of PowerSystems via Contraction Analysis. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-1029619
Modern Language Association (MLA)
Solís-Perales, Gualberto…[et al.]. Chaotic Synchronization in a Small Network of a Class of PowerSystems via Contraction Analysis. Mathematical Problems in Engineering No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-1029619
American Medical Association (AMA)
Solís-Perales, Gualberto& Ruiz-Velázquez, E.& García-Rodríguez, J. A.. Chaotic Synchronization in a Small Network of a Class of PowerSystems via Contraction Analysis. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-1029619
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029619