Fault Diagnosability Analysis of Two-Dimensional Linear Discrete Systems

2020 ◽  
pp. 1-1
Author(s):  
Dong Zhao ◽  
Choon Ki Ahn ◽  
Wojciech Paszke ◽  
Fangzhou Fu ◽  
Yueyang Li
Keyword(s):  
Discrete Systems ◽  
Two Dimensional ◽  
Linear Discrete Systems ◽  
Fault Diagnosability

scholarly journals Conditional Stability and Asymptotic Behavior of Solutions of Weakly Delayed Linear Discrete Systems in R2

2017 ◽  
Vol 2017 ◽  
pp. 1-10 ◽  
Author(s):  
Josef Diblík ◽  
Hana Halfarová ◽  
Jan Šafařík
Keyword(s):  
Asymptotic Behavior ◽  
Discrete Systems ◽  
Asymptotic Formulas ◽  
Asymptotic Behavior Of Solutions ◽  
Conditional Stability ◽  
Two Dimensional ◽  
Linear Discrete Systems

Two-dimensional linear discrete systems x(k+1)=Ax(k)+∑l=1nBlxl(k-ml),  k≥0, are analyzed, where m1,m2,…,mn are constant integer delays, 0<m1<m2<⋯<mn, A, B1,…,Bn are constant 2×2 matrices, A=(aij), Bl=(bijl),  i,j=1,2,  l=1,2,…,n, and x:{-mn,-mn+1,…}→R2. Under the assumption that the system is weakly delayed, the asymptotic behavior of its solutions is studied and asymptotic formulas are derived.

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