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Stability Analysis for a Type of Multiswitching System with Parallel Structure
Joint Authors
Liu, Yongqiang
Zhang, Yan
Liu, Yang
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-08
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This paper proposes a new type of multiswitching system and a subsystems-group as a basic switching unit that obeys the law.
Unlike traditional switching systems, the system selects multiple subsystems instead of one on each time interval.
Thus, a framework of parallel structure organizes the subsystems as a group.
A multiswitched system is widely used in engineering for modelling and control; this system reflects the actual industrial dynamical process.
Thus, the stability of the system is studied.
Assuming that these continuous and discrete-time subsystems are Hurwitz and Schur stable, the subsystems-groups matrices commute each other based on the subsystems matrices pairwise commutative.
Then, the multiswitched system is exponentially stable under arbitrary switching, and there exists a common Lyapunov function for these subsystems.
The main result is extended to a parallel-like structure; therefore, some stability results are gained under some reasonable assumption.
At last, a numeral example is given to illustrate the structure and the stability of this system.
American Psychological Association (APA)
Zhang, Yan& Liu, Yongqiang& Liu, Yang. 2018. Stability Analysis for a Type of Multiswitching System with Parallel Structure. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-16.
https://search.emarefa.net/detail/BIM-1207158
Modern Language Association (MLA)
Zhang, Yan…[et al.]. Stability Analysis for a Type of Multiswitching System with Parallel Structure. Mathematical Problems in Engineering No. 2018 (2018), pp.1-16.
https://search.emarefa.net/detail/BIM-1207158
American Medical Association (AMA)
Zhang, Yan& Liu, Yongqiang& Liu, Yang. Stability Analysis for a Type of Multiswitching System with Parallel Structure. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-16.
https://search.emarefa.net/detail/BIM-1207158
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207158