An LMI Approach to Stability for Linear Time-Varying System with Nonlinear Perturbation on Time Scales
Joint Authors
Niamsup, Piyapong
Mukdasai, Kanit
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-19
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We consider Lyapunov stability theory of linear time-varying system and derive sufficient conditions for uniform stability, uniform exponential stability, ψ-uniform stability, and h-stability for linear time-varying system with nonlinear perturbation on time scales.
We construct appropriate Lyapunov functions and derive several stability conditions.
Numerical examples are presented to illustrate the effectiveness of the theoretical results.
American Psychological Association (APA)
Mukdasai, Kanit& Niamsup, Piyapong. 2011. An LMI Approach to Stability for Linear Time-Varying System with Nonlinear Perturbation on Time Scales. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-504089
Modern Language Association (MLA)
Mukdasai, Kanit& Niamsup, Piyapong. An LMI Approach to Stability for Linear Time-Varying System with Nonlinear Perturbation on Time Scales. Abstract and Applied Analysis No. 2011 (2011), pp.1-15.
https://search.emarefa.net/detail/BIM-504089
American Medical Association (AMA)
Mukdasai, Kanit& Niamsup, Piyapong. An LMI Approach to Stability for Linear Time-Varying System with Nonlinear Perturbation on Time Scales. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-504089
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504089
