scholarly journals Singularity confinement and chaos in two-dimensional discrete systems

2016 ◽  
Vol 49 (23) ◽  
pp. 23LT01 ◽  
Author(s):  
Masataka Kanki ◽  
Takafumi Mase ◽  
Tetsuji Tokihiro
Keyword(s):  
Discrete Systems ◽  
Two Dimensional ◽  
Singularity Confinement

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.

Discrete systems and two-dimensional coordination polymers containing potentially multidentate and bridging inorganic anions: Observation of a new type of two-dimensional topology

Polyhedron ◽  
2014 ◽  
Vol 74 ◽  
pp. 57-66 ◽  
Author(s):  
Arpita Biswas ◽  
Arpita Jana ◽  
Sohini Sarkar ◽  
Hazel A. Sparkes ◽  
Judith A.K. Howard ◽  
...  
Keyword(s):  
Coordination Polymers ◽  
Discrete Systems ◽  
Inorganic Anions ◽  
Two Dimensional ◽  
New Type

scholarly journals Singularity Confinement and Chaos in Discrete Systems

1998 ◽  
Vol 81 (2) ◽  
pp. 325-328 ◽  
Author(s):  
Jarmo Hietarinta ◽  
Claude Viallet
Keyword(s):  
Discrete Systems ◽  
Singularity Confinement
Sign in / Sign up

Export Citation Format

Share Document