Walsh series solution of second-order state-space systems

1985 ◽  
Vol 16 (5) ◽  
pp. 633-639 ◽  
Author(s):  
A. Y. SIVARAMAKRISHNAN ◽  
M. C. SRISAILAM
Keyword(s):  
State Space ◽  
Series Solution ◽  
Second Order ◽  
Space Systems ◽  
Walsh Series ◽  
State Space Systems ◽  
Order State

STABILITY OF DISCRETE FRACTIONAL ORDER STATE-SPACE SYSTEMS

2006 ◽  
Vol 39 (11) ◽  
pp. 505-510 ◽  
Author(s):  
Andrzej Dzieliński ◽  
Dominik Sierociuk
Keyword(s):  
State Space ◽  
Fractional Order ◽  
Space Systems ◽  
State Space Systems ◽  
Order State

OBSERVER FOR DISCRETE FRACTIONAL ORDER STATE-SPACE SYSTEMS

2006 ◽  
Vol 39 (11) ◽  
pp. 511-516 ◽  
Author(s):  
Andrzej Dzieliński ◽  
Dominik Sierociuk
Keyword(s):  
State Space ◽  
Fractional Order ◽  
Space Systems ◽  
State Space Systems ◽  
Order State

scholarly journals Parallel Implementation of Modeling of Fractional-Order State-Space Systems Using the Fixed-Step Euler Method

Entropy ◽  
2019 ◽  
Vol 21 (10) ◽  
pp. 931 ◽  
Author(s):  
Rafał Stanisławski ◽  
Kamil Kozioł
Keyword(s):  
State Space ◽  
Fractional Order ◽  
High Efficiency ◽  
Parallel Implementation ◽  
Euler Method ◽  
Processing Unit ◽  
Space Systems ◽  
Central Processing ◽  
State Space Systems ◽  
Order State

This paper presents new results in implementation of parallel computing in modeling of fractional-order state-space systems. The methods considered in the paper are based on the Euler fixed-step discretization scheme and the Grünwald-Letnikov definition of the fractional-order derivative. Two different parallelization approaches for modeling of fractional-order state-space systems are proposed, which are implemented both in Central Processing Unit (CPU)- and Graphical Processing Unit (GPU)-based hardware environments. Simulation examples show high efficiency of the introduced parallelization schemes. Execution times of the introduced methodology are significantly lower than for the classical, commonly used simulation environment.

Stability of Discrete Fractional Order State-space Systems

2008 ◽  
Vol 14 (9-10) ◽  
pp. 1543-1556 ◽  
Author(s):  
Andrzej Dzieliński ◽  
Dominik Sierociuk
Keyword(s):  
State Space ◽  
Fractional Order ◽  
Space Systems ◽  
State Space Systems ◽  
Order State
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