Title :
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
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;
Conference_Titel :
Machine Learning and Cybernetics, 2006 International Conference on
Conference_Location :
Dalian, China
Print_ISBN :
1-4244-0061-9
DOI :
10.1109/ICMLC.2006.258333
