Identification of stochastic linear systems via spectral analysis: reduced-order approximation, performance analysis and transfer function bias

2002 ◽  
Author(s):  
J.K. Tugnait
Keyword(s):  
Spectral Analysis ◽  
Performance Analysis ◽  
Transfer Function ◽  
Linear Systems ◽  
Order Approximation ◽  
Reduced Order ◽  
Stochastic Linear Systems

SPECTRAL MOMENTS AND THE ANALYSIS OF CHAOTIC SYSTEMS

2001 ◽  
Vol 11 (07) ◽  
pp. 2051-2059 ◽  
Author(s):  
NICK T. KOUSSOULAS
Keyword(s):  
Spectral Analysis ◽  
Linear Systems ◽  
Limit Cycles ◽  
Chaotic Systems ◽  
The Other ◽  
Approximation Methods ◽  
Spectral Moments ◽  
Limit Sets ◽  
Definition Of ◽  
Stochastic Linear Systems

The simplicity of structure of chaotic systems, combined with the richness of their output, inspires their use in modeling efforts. On the other hand, the difficulty of their analysis warrants approximation methods, especially since the absence, by definition, of well-defined limit sets prohibits, in general, a meaningful linearization. In this work we present some results, which can support a methodology founded on spectral analysis for approximating chaotic systems via stochastic linear systems. The main contribution is the use of spectral moments for identifying the location of embedded limit cycles and the spectrum-based validation of approximations.

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.

Reduced order positive filter design for positive uncertain discrete-time linear systems*

2021 ◽  
pp. 1-1
Author(s):  
Amanda Spagolla ◽  
Cecilia F. Morais ◽  
Ricardo C. L. F. Oliveira ◽  
Pedro L. D. Peres
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Filter Design ◽  
Reduced Order ◽  
Time Linear

Robust reduced-order l2−l∞ filtering for network-based discrete-time linear systems

2015 ◽  
Vol 109 ◽  
pp. 110-118 ◽  
Author(s):  
Zhuo Zhang ◽  
Zexu Zhang ◽  
Shichun Yang
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Reduced Order ◽  
Time Linear
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