Finite state test for asymptotic stability of two-dimensional shift-variant discrete systems

2002 ◽  
Author(s):  
Yang Xiao
Keyword(s):  
Asymptotic Stability ◽  
Discrete Systems ◽  
Two Dimensional ◽  
State Test ◽  
Finite State

Parameter-dependent robust H∞ filtering for uncertain two-dimensional discrete systems in the FM second model

2020 ◽  
Vol 37 (4) ◽  
pp. 1114-1132
Author(s):  
Khalid Badie ◽  
Mohammed Alfidi ◽  
Mohamed Oubaidi ◽  
Zakaria Chalh
Keyword(s):  
Asymptotic Stability ◽  
Lyapunov Function ◽  
Discrete Systems ◽  
Performance Criterion ◽  
Linear Matrix ◽  
Two Dimensional ◽  
Matrix Inequalities ◽  
Parameter Uncertainties ◽  
Error System ◽  
Parameter Dependent

Abstract This paper deals with the problem of robust $H_{\infty }$ filtering for uncertain two-dimensional discrete systems in the Fornasini–Marchesini second model with polytopic parameter uncertainties. Firstly, a new $H_{\infty }$ performance criterion is derived by exploiting a new structure of the parameter-dependent Lyapunov function. Secondly, based on the criterion obtained, a new condition for the existence of a robust $H_{\infty }$ filter that ensures asymptotic stability, and a prescribed $H_{\infty }$ performance level of the filtering error system, for all admissible uncertainties is established in terms of linear matrix inequalities. Finally, two examples are given to illustrate the effectiveness and advantage of the proposed method.

Stability and Bifurcations in 2D Spatiotemporal Discrete Systems

2018 ◽  
Vol 28 (08) ◽  
pp. 1830026
Author(s):  
Mohamed Lamine Sahari ◽  
Abdel-Kaddous Taha ◽  
Louis Randriamihamison
Keyword(s):  
Asymptotic Stability ◽  
Current Literature ◽  
Sufficient Conditions ◽  
Discrete Systems ◽  
Necessary And Sufficient Conditions ◽  
Two Dimensional ◽  
Local Bifurcations ◽  
Stability And Bifurcations ◽  
Necessary And Sufficient

This paper deals with stability and local bifurcations of two-dimensional (2D) spatiotemporal discrete systems. Necessary and sufficient conditions for asymptotic stability of the systems are obtained. They prove to be more accurate than those in the current literature. Some definitions for the bifurcations of 2D spatiotemporal discrete systems are also given, and an illustrative example is provided to explain the new results.

Finite state induced flow models. I - Two-dimensional thin airfoil

1995 ◽  
Vol 32 (2) ◽  
pp. 313-322 ◽  
Author(s):  
David A. Peters ◽  
Swaminathan Karunamoorthy ◽  
Wen-Ming Cao
Keyword(s):  
Two Dimensional ◽  
Flow Models ◽  
Thin Airfoil ◽  
Finite State ◽  
Induced Flow
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