Should the Theories for Continuous-Time and Discrete-Time Linear and Nonlinear Systems Really Look Alike?

1989 ◽  
Vol 22 (3) ◽  
pp. 7-12 ◽  
Author(s):  
M. Fliess
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Continuous Time ◽  
Linear And Nonlinear ◽  
Linear And Nonlinear Systems ◽  
Time Linear

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.

Positivity and Stability of Standard and Fractional Descriptor Continuous-Time Linear and Nonlinear Systems

2018 ◽  
Vol 19 (3-4) ◽  
pp. 299-307 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Nonlinear Systems ◽  
Continuous Time ◽  
Lyapunov Method ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Linear And Nonlinear ◽  
The Stability ◽  
Necessary And Sufficient ◽  
Linear And Nonlinear Systems ◽  
Time Linear

AbstractThe positivity and stability of standard and fractional descriptor continuous-time linear and nonlinear systems are addressed. Necessary and sufficient conditions for the positivity of descriptor linear and sufficient conditions for nonlinear systems are established. Using an extension of Lyapunov method sufficient conditions for the stability of positive nonlinear systems are given. The considerations are extended to fractional nonlinear systems.

Discrete-time analysis of linear and nonlinear systems using analog circuit simulators

1999 ◽  
Vol 42 (3) ◽  
pp. 205-211 ◽  
Author(s):  
T.G. Engel ◽  
M. Jackson
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Analog Circuit ◽  
Time Analysis ◽  
Linear And Nonlinear ◽  
Linear And Nonlinear Systems

scholarly journals Continuous-Time System Identification for Linear and Nonlinear Systems Using Wavelet Decompositions

1997 ◽  
Vol 07 (01) ◽  
pp. 87-96 ◽  
Author(s):  
D. Coca ◽  
S. A. Billings
Keyword(s):  
Experimental Data ◽  
System Identification ◽  
Nonlinear Systems ◽  
Continuous Time ◽  
Time System ◽  
New Approach ◽  
Linear And Nonlinear ◽  
Wavelet Decompositions ◽  
Linear And Nonlinear Systems ◽  
Continuous Time System

A new approach for estimating linear and nonlinear continuous-time models directly from noisy observations is introduced using wavelet decompositions. Results using both simulated and experimental data are included to demonstrate the performance of the new algorithm.

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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