Numerically tractable stability tests for 2-D singular discrete-time systems

2013 ◽  
Author(s):  
Andre F. Caldeira ◽  
Daniel Coutinho ◽  
Carlos E. de Souza ◽  
Valter J. S. Leite
Keyword(s):  
Discrete Time ◽  
Stability Tests ◽  
Discrete Time Systems ◽  
Time Systems

scholarly journals New Stability Tests for Discretized Fractional-Order Systems Using the Al-Alaoui and Tustin Operators

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Rafał Stanisławski ◽  
Marek Rydel ◽  
Krzysztof J. Latawiec
Keyword(s):  
Fractional Order ◽  
Discrete Time ◽  
Fractional Order Systems ◽  
Simulation Experiments ◽  
Stability Tests ◽  
Analytical Stability ◽  
Discrete Time Systems ◽  
The Stability ◽  
Time Systems ◽  
Order Continuous

This paper provides new results on a stable discretization of commensurate fractional-order continuous-time LTI systems using the Al-Alaoui and Tustin discretization methods. New, graphical, and analytical stability/instability conditions are given for discrete-time systems obtained by means of the Al-Alaoui discretization scheme. On this basis, an analytically driven stability condition for discrete-time systems using the Tustin-based approach is presented. Finally, the stability of discrete-time systems obtained by finite-length approximation of the Al-Alaoui and Tustin operators are discussed. Simulation experiments confirm the effectiveness of the introduced stability tests.

Global Constrained Holdability of Discrete Time Systems

1986 ◽  
Author(s):  
Robert P. Van Til ◽  
William E. Schmitendorf
Keyword(s):  
Discrete Time ◽  
Discrete Time Systems ◽  
Time Systems
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