Observability of linear discrete-time systems of algebraic and difference equations

2017 ◽  
Vol 92 (2) ◽  
pp. 339-355 ◽  
Author(s):  
Lazaros Moysis ◽  
Nicholas Karampetakis ◽  
Efstathios Antoniou
Keyword(s):  
Discrete Time ◽  
Difference Equations ◽  
Discrete Time Systems ◽  
Time Systems

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 Exponential dichotomies for linear discrete-time systems in Banach spaces

2012 ◽  
Vol 6 (1) ◽  
pp. 140-155 ◽  
Author(s):  
Ioan-Lucian Popa ◽  
Mihail Megan ◽  
Traian Ceauşu
Keyword(s):  
Banach Spaces ◽  
Discrete Time ◽  
Difference Equations ◽  
Linear Difference Equations ◽  
Exponential Dichotomies ◽  
Discrete Time Systems ◽  
Time Systems

In this paper we investigate some dichotomy concepts for linear difference equations in Banach spaces. Characterizations of these concepts are given. Some illustrating examples clarifies the relations between these concepts.

scholarly journals On (h,k)-Dichotomies for Nonautonomous Linear Difference Equations in Banach Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Mihai Gabriel Babuţia ◽  
Mihail Megan ◽  
Ioan-Lucian Popa
Keyword(s):  
Banach Spaces ◽  
Discrete Time ◽  
Difference Equations ◽  
Linear Difference Equations ◽  
Discrete Time Systems ◽  
Time Systems

This paper considers two general concepts of dichotomy for noninvertible and nonautonomous linear discrete-time systems in Banach spaces. These concepts use two types of dichotomy projections sequences (invariant and strongly invariant) and generalize some well-known dichotomy concepts (uniform, nonuniform, exponential, and polynomial). In the particular case of strongly invariant dichotomy projections, we present characterizations of these sequences and connections with other dichotomy concepts existent in the literature. Some illustrative examples clarify the implications between these concepts.

scholarly journals Qualitative Behavior of a Nonlinear Generalized Recursive Sequence with Delay

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Tarek F. Ibrahim ◽  
Abdul Qadeer Khan ◽  
Abdelhameed Ibrahim
Keyword(s):  
Difference Equation ◽  
Discrete Time ◽  
Difference Equations ◽  
Qualitative Behavior ◽  
Order Difference ◽  
Discrete Time Systems ◽  
Recursive Sequence ◽  
Order Difference Equation ◽  
Time Systems ◽  
Equation With Delay

Difference equations are of growing importance in engineering in view of their applications in discrete time-systems used in association with microprocessors. We will check out the global stability and boundedness for a nonlinear generalized high-order difference equation with delay.

scholarly journals Robust stability of discrete-time systems of difference equations (Removed from Archives)

2007 ◽  
Vol 38 (3) ◽  
pp. 205-208 ◽  
Author(s):  
Ziad Zahreddine
Keyword(s):  
Characteristic Polynomial ◽  
Robust Stability ◽  
Discrete Time ◽  
Difference Equations ◽  
Discrete Time System ◽  
Time System ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Schur Stability

This paper deals with the robust stability of discrete-time systems of difference equations. Given the nominal characteristic polynomial of a certain discrete-time system, we determine the maximum allowable perturbation that such a polynomial can undergo while preserving the Schur stability of the corresponding system.

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