Title :
New Sufficient Criteria for Stability of Nonlinear Gray Discrete Dynamic Systems
Author :
Han, Jinfang ; Peng, Jiqin ; Qiu, Jiqing
Author_Institution :
Hebei Univ. of Sci. & Technol., Shijiazhuang
Abstract :
In this paper, the stability problem of grey discrete dynamic systems with nonlinear perturbations is considered, by using the matrix eigenvalues theory, matrix norm theory and Lyapunov´s method, some new sufficient conditions are obtained which guarantee the stability of nonlinear grey discrete dynamic systems. This results generalize the previous works and are shown to be less conservative than those in recent literatures. Examples are given to illustrate our main results. Furthermore, a kind of stability parameter and its existence are also discussed.
Keywords :
Lyapunov matrix equations; discrete systems; eigenvalues and eigenfunctions; grey systems; nonlinear control systems; nonlinear dynamical systems; stability; Lyapunov method; matrix eigenvalues theory; matrix norm theory; nonlinear gray discrete dynamic systems; nonlinear perturbations; stability problem; Asymptotic stability; Control systems; Eigenvalues and eigenfunctions; Industrial Electronics Society; Lyapunov method; Nonlinear dynamical systems; Notice of Violation; Stability analysis; Stability criteria; Sufficient conditions;
Conference_Titel :
Industrial Electronics Society, 2007. IECON 2007. 33rd Annual Conference of the IEEE
Conference_Location :
Taipei
Print_ISBN :
1-4244-0783-4
DOI :
10.1109/IECON.2007.4460067