scholarly journals On the number of upper Bohl exponents for diagonal discrete time-varying linear system

2015 ◽  
Vol 429 (1) ◽  
pp. 337-353 ◽  
Author(s):  
Artur Babiarz ◽  
Adam Czornik ◽  
Michał Niezabitowski
Keyword(s):  
Linear System ◽  
Discrete Time ◽  
Time Varying

Properties of the Lower Bohl Exponents of Diagonal Discrete Linear Time-Varying Systems

2015 ◽  
Vol 789-790 ◽  
pp. 1052-1058
Author(s):  
Michał Niezabitowski
Keyword(s):  
Dynamical Systems ◽  
Linear System ◽  
Control Theory ◽  
Lyapunov Exponents ◽  
Discrete Time ◽  
Linear Time ◽  
Time Varying ◽  
Two Dimensional ◽  
Time Varying Systems

The Bohl exponents, similarly as Lyapunov exponents, are one of the most important numerical characteristics of dynamical systems used in control theory. Properties of the Lyapunov characteristics are well described in the literature. Properties of the second above-mentioned exponents are much less investigated in the literature. In this paper we show an example of two-dimensional discrete time-varying linear system with bounded coefficients for which the number of lower Bohl exponents of solutions may be greater than dimension of the system.

scholarly journals On a continuity of characteristic exponents of linear discrete time-varying systems

2012 ◽  
Vol 22 (1) ◽  
pp. 17-27 ◽  
Author(s):  
Adam Czornik ◽  
Piotr Mokry ◽  
Michał Niezabitowski
Keyword(s):  
Linear System ◽  
Lyapunov Exponents ◽  
Discrete Time ◽  
Sufficient Condition ◽  
Time Varying ◽  
Characteristic Exponents ◽  
Time Varying Systems ◽  
Time Invariant

On a continuity of characteristic exponents of linear discrete time-varying systemsIn this paper we present a sufficient condition for continuity of Lyapunov exponents of discrete time-varying linear system. Basing on this result we show that Lyapunov exponents of time-invariant systems depend continuously on the time-varying perturbations.

A power-type varying gain discrete-time recurrent neural network for solving time-varying linear system

2020 ◽  
Vol 388 ◽  
pp. 24-33
Author(s):  
Zhijun Zhang ◽  
Wenwei Lin ◽  
Lunan Zheng ◽  
Pengchao Zhang ◽  
Xilong Qu ◽  
...  
Keyword(s):  
Neural Network ◽  
Linear System ◽  
Discrete Time ◽  
Recurrent Neural Network ◽  
Time Varying ◽  
Power Type
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