On Sufficient Conditions for the Stability of Nonlinear Discrete Dynamic Interval Systems

Author

Han, Jin-fang ; Li, Fa-chao ; Liu, Zhi-yong

Author_Institution

Coll. of Sci., Hebei Univ. of Sci. & Technol., Shijiazhuang

fYear

2006

fDate

13-16 Aug. 2006

Firstpage

549

Lastpage

553

Abstract

In this paper, the stability problem of discrete dynamic interval systems with nonlinear perturbations is considered. By using the matrix eigenvalues theory, matrix norm theory and Lyapunov´s method, some sufficient conditions are obtained which guarantee the uniform asymptotic stability of nonlinear discrete dynamic interval systems. A stability parameter and its existence are also introduced

Keywords

Lyapunov methods; asymptotic stability; discrete systems; eigenvalues and eigenfunctions; matrix algebra; nonlinear control systems; perturbation techniques; Lyapunov method; asymptotic stability; matrix eigenvalues theory; matrix norm theory; nonlinear discrete dynamic interval system; perturbation; Argon; Asymptotic stability; Conference management; Cybernetics; Educational institutions; Eigenvalues and eigenfunctions; Lyapunov method; Machine learning; Nonlinear dynamical systems; Robust stability; Stability analysis; Sufficient conditions; Technology management; Uncertainty; Discrete dynamic systems; Interval matrix; Lyapunov´s method; Stability parameter; Uniform asymptotic stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2006 International Conference on

Conference_Location

Dalian, China

Print_ISBN

1-4244-0061-9

Type

conf

DOI

10.1109/ICMLC.2006.258333

Filename

4028125