Linear Systems: Discrete-Time, Time-Varying, State Variable Descriptions

2014 ◽  
pp. 1-4
Author(s):  
P. J. Antsaklis
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Time Varying ◽  
State Variable

scholarly journals Determination of positive realizations with reduced numbers of delays or without delays for discrete-time linear systems

2012 ◽  
Vol 22 (4) ◽  
pp. 451-465 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Transfer Function ◽  
Linear Systems ◽  
Discrete Time ◽  
Sufficient Conditions ◽  
Diagram Method ◽  
State Variable ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Time Linear

A new modified state variable diagram method is proposed for determination of positive realizations with reduced numbers of delays and without delays of linear discrete-time systems for a given transfer function. Sufficient conditions for the existence of the positive realizations of given proper transfer function are established. It is shown that there exists a positive realization with reduced numbers of delays if there exists a positive realization without delays but with greater dimension. The proposed methods are demonstrated on a numerical example.

On the spectrum of discrete time-varying linear systems

2013 ◽  
Vol 9 ◽  
pp. 27-41 ◽  
Author(s):  
Adam Czornik ◽  
Michał Niezabitowski
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Time Varying

Robust stabilization of discrete-time linear systems with norm-bounded time-varying uncertainty

1994 ◽  
Vol 22 (5) ◽  
pp. 327-339 ◽  
Author(s):  
Germain Garcia ◽  
jacques Bernussou ◽  
Denis Arzelier
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Robust Stabilization ◽  
Time Varying ◽  
Time Linear
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