The roles of sampling zero dynamics in the discrete-time models for linear and nonlinear systems

2014 ◽  
Author(s):  
Shan Liang ◽  
Cheng Zeng ◽  
Ishitobi Mitsuaki ◽  
Jiaqi Zhong
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Zero Dynamics ◽  
Linear And Nonlinear ◽  
Linear And Nonlinear Systems ◽  
Discrete Time Models

scholarly journals Invariance under discretization for positive systems

2021 ◽  
Author(s):  
Zbigniew Bartosiewicz
Keyword(s):  
Nonlinear Systems ◽  
Control Systems ◽  
Discrete Time ◽  
Continuous Time ◽  
Positive Systems ◽  
Time System ◽  
Fundamental Properties ◽  
Linear And Nonlinear ◽  
Linear And Nonlinear Systems ◽  
Continuous Time System

AbstractPositive dynamical or control systems have all their variables nonnegative. Euler discretization transforms a continuous-time system into a system on a discrete time scale. Some structural properties of the system may be preserved by discretization, while other may be lost. Four fundamental properties of positive systems are studied in the context of discretization: positivity, positive stability, positive reachability and positive observability. Both linear and nonlinear systems are investigated.

Mathematical modeling of conversion of non-Gaussian random processes, signals and noise in linear and nonlinear systems

2018 ◽  
pp. 66-78
Author(s):  
V. M. Artyushenko ◽  
V. I. Volovach
Keyword(s):  
Mathematical Modeling ◽  
Nonlinear Systems ◽  
Random Processes ◽  
Mathematical Transformation ◽  
Positive And Negative Feedback ◽  
Non Linear Systems ◽  
Linear And Nonlinear ◽  
Non Gaussian ◽  
Linear And Nonlinear Systems ◽  
Inertial Systems

The questions connected with mathematical modeling of transformation of non-Gaussian random processes, signals and noise in linear and nonlinear systems are considered and analyzed. The mathematical transformation of random processes in linear inertial systems consisting of both series and parallel connected links, as well as positive and negative feedback is analyzed. The mathematical transformation of random processes with polygamous density of probability distribution during their passage through such systems is considered. Nonlinear inertial and non-linear systems are analyzed.

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