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Finite-Time Lyapunov Functions and Impulsive Control Design
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-27
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, we introduce finite-time Lyapunov functions for impulsive systems.
The relaxed sufficient conditions for asymptotic stability of an equilibrium of an impulsive system are given via finite-time Lyapunov functions.
A converse finite-time Lyapunov theorem for controlling the impulsive system is proposed.
Three examples are presented to show how to analyze the stability of an equilibrium of the considered impulsive system via finite-time Lyapunov functions.
Furthermore, according to the results, we design an impulsive controller for a chaotic system modified from the Lorenz system.
American Psychological Association (APA)
Li, Huijuan& Ma, Qingxia. 2020. Finite-Time Lyapunov Functions and Impulsive Control Design. Complexity،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1142293
Modern Language Association (MLA)
Li, Huijuan& Ma, Qingxia. Finite-Time Lyapunov Functions and Impulsive Control Design. Complexity No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1142293
American Medical Association (AMA)
Li, Huijuan& Ma, Qingxia. Finite-Time Lyapunov Functions and Impulsive Control Design. Complexity. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1142293
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142293