Necessary and sufficient conditions for robust stability of discrete systems with coefficients depending continuously on two interval parameters

Automatica ◽  
1993 ◽  
Vol 29 (1) ◽  
pp. 241-244 ◽  
Author(s):  
Ezra Zeheb
Keyword(s):  
Robust Stability ◽  
Sufficient Conditions ◽  
Discrete Systems ◽  
Necessary And Sufficient Conditions ◽  
Interval Parameters ◽  
Necessary And Sufficient

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.

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