Multiresolution methods for representation of Volterra series and dynamical systems

2000 ◽  
Author(s):  
Richard Prazenica ◽  
Andrew Kurdila ◽  
Walt Silva
Keyword(s):  
Dynamical Systems ◽  
Volterra Series ◽  
Multiresolution Methods

scholarly journals Analysis of Some Approaches to Modeling Nonlinear Dynamical Systems Using Polynomial Operators

2021 ◽  
Vol 43 (5) ◽  
pp. 3-20
Author(s):  
A.F. Verlan ◽  
◽  
L.O. Mitko ◽  
O.A. Dyachuk ◽  
◽  
...  
Keyword(s):  
Dynamical Systems ◽  
Power Plants ◽  
Volterra Series ◽  
Nonlinear Dynamical Systems ◽  
Dynamic Properties ◽  
Surveillance Systems ◽  
Nonlinear Dynamical ◽  
Relevant Today ◽  
Polynomial Operators ◽  
The Mathematical Model

The problem of mathematical description of nonlinear dynamical systems remains relevant today, especially given the need to build modern surveillance systems for complex technical objects, such as power plants. The use of polynomial operators obtained with the help of shortened Volterra series to solve this problem, as practice has shown, proved to be promising, because this method allows to display in the mathematical model both nonlinear and dynamic properties of systems. For further development of the method, it is advisable to analyze diffe­rent approaches in order to build effective algorithms for obtaining and applying in the problems of monitoring the functioning of nonlinear systems.

Multiresolution Methods for Reduced-Order Models for Dynamical Systems

2001 ◽  
Vol 24 (2) ◽  
pp. 193-200 ◽  
Author(s):  
Andrew J. Kurdila ◽  
Richard J. Prazenica ◽  
Othon Rediniotis ◽  
Thomas Strganac
Keyword(s):  
Dynamical Systems ◽  
Reduced Order Models ◽  
Reduced Order ◽  
Multiresolution Methods
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