Regional asymptotic stability analysis for discrete-time delayed systems with saturation nonlinearity

This paper presents a novel method for asymptotic stability analysis of discrete-time systems with state delay and saturation nonlinearity. Based on Lyapunov functional and LMI (linear matrix inequality) framework, new stability criteria are derived in terms of LMIs by using some properties of the s...

Full description

Saved in:
Bibliographic Details
Published inNonlinear dynamics Vol. 67; no. 1; pp. 885 - 892
Main Authors Lee, S. M., Kwon, O. M., Park, Ju H.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.01.2012
Springer Nature B.V
Subjects
Asymptotic methods
Asymptotic properties
Automotive Engineering
Classical Mechanics
Control
Criteria
Discrete time systems
Dynamical Systems
Engineering
Linear matrix inequalities
Mathematical analysis
Matrix methods
Mechanical Engineering
Nonlinear dynamics
Nonlinear programming
Nonlinearity
Original Paper
Regional analysis
Saturation
Stability
Stability analysis
Stability criteria
Time delay systems
Vibration
Discrete-time systems
Sector nonlinearity
Saturation
LMI
Regional stability
Delay
Lyapunov function
Online AccessGet full text

Cover

More Information
Summary:This paper presents a novel method for asymptotic stability analysis of discrete-time systems with state delay and saturation nonlinearity. Based on Lyapunov functional and LMI (linear matrix inequality) framework, new stability criteria are derived in terms of LMIs by using some properties of the saturation nonlinearity. The criteria can be applied to the global and regional stability. Numerical examples are given to verify the theoretical result of the proposed method.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
content type line 23
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-011-0032-4