New characterizations of exponential dichotomy and exponential stability of linear difference equations

2005 ◽  
Vol 11 (10) ◽  
pp. 909-918 ◽  
Author(s):  
Pham Huu Anh Ngoc ◽  
Toshiki Naito
Keyword(s):  
Exponential Stability ◽  
Difference Equations ◽  
Exponential Dichotomy ◽  
Linear Difference Equations

scholarly journals Nonuniform Exponential Trichotomy for Linear Discrete-Time Systems in Banach Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Xiao-qiu Song ◽  
Tian Yue ◽  
Dong-qing Li
Keyword(s):  
Exponential Stability ◽  
Banach Spaces ◽  
Discrete Time ◽  
Difference Equations ◽  
Exponential Dichotomy ◽  
Linear Difference Equations ◽  
Discrete Time Systems ◽  
Exponential Trichotomy ◽  
Time Systems

The aim of this paper is to give several characterizations for nonuniform exponential trichotomy properties of linear difference equations in Banach spaces. Well-known results for exponential stability and exponential dichotomy are extended to the case of nonuniform exponential trichotomy.

scholarly journals Some roughness results concerning reducibility for linear difference equations

1988 ◽  
Vol 11 (4) ◽  
pp. 793-804 ◽  
Author(s):  
Garyfalos Papaschinopoulos
Keyword(s):  
Difference Equation ◽  
Difference Equations ◽  
Exponential Dichotomy ◽  
Coefficient Matrix ◽  
Linear Difference Equation ◽  
Almost Periodic ◽  
Linear Difference Equations ◽  
Joint Property

In this paper we prove first that the exponential dichotomy of linear difference equations is “rough”. Moreover we prove that if the coefficient matrix of a linear difference equation is almost periodic, then the Joint property of having an exponential dichotomy with a projectionPand being reducible withPby an almost periodic kinematics similarity is “rough”.

scholarly journals Exponential Stability With Decay Rate Estimation for Linear Difference Equations

2016 ◽  
Vol 61 (1) ◽  
pp. 252-257 ◽  
Author(s):  
Serine Damak ◽  
Michael Di Loreto ◽  
Sabine Mondie ◽  
Xavier Brun
Keyword(s):  
Exponential Stability ◽  
Decay Rate ◽  
Difference Equations ◽  
Linear Difference Equations ◽  
Rate Estimation
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