Invariant Sets of Hybrid Autonomous Systems with Disturbance
Joint Authors
Zexuan, Zhu
Hai-Long, Pei
Zhen, Ji
Jian-Qiang, Li
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-12-21
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The concept and model of hybrid systems are introduced.
Invariant sets introduced by LaSalle are proposed, and the concept is extended to invariant sets in hybrid systems which include disturbance.
It is shown that the existence of invariant sets by arbitrary transition in hybrid systems is determined by the existence of common Lyapunov function in the systems.
Based on the Lyapunov function, an efficient transition method is proposed to ensure the existence of invariant sets.
An algorithm is concluded to compute the transition mode, and the invariant set can also be computed as a convex problem.
The efficiency and correctness of the transition algorithm are demonstrated by an example of hybrid systems.
American Psychological Association (APA)
Jian-Qiang, Li& Zexuan, Zhu& Zhen, Ji& Hai-Long, Pei. 2010. Invariant Sets of Hybrid Autonomous Systems with Disturbance. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-460687
Modern Language Association (MLA)
Jian-Qiang, Li…[et al.]. Invariant Sets of Hybrid Autonomous Systems with Disturbance. Mathematical Problems in Engineering No. 2010 (2010), pp.1-12.
https://search.emarefa.net/detail/BIM-460687
American Medical Association (AMA)
Jian-Qiang, Li& Zexuan, Zhu& Zhen, Ji& Hai-Long, Pei. Invariant Sets of Hybrid Autonomous Systems with Disturbance. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-460687
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-460687