Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)
Robust stability check of fractional order linear time invariant systems with interval uncertainties
Signal Processing - Fractional calculus applications in signals and systems
Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering
Functional Fractional Calculus for System Identification and Controls
Functional Fractional Calculus for System Identification and Controls
The Choice of the Forms of Lyapunov Functions for a Positive 2D Roesser Model
International Journal of Applied Mathematics and Computer Science
Fractional Positive Continuous-Time Linear Systems and Their Reachability
International Journal of Applied Mathematics and Computer Science - Special Section: Selected Topics in Biological Cybernetics, Special Editors: Andrzej Kasiński and Filip Ponulak
Positivity and stabilization of fractional 2D linear systems described by the Roesser model
International Journal of Applied Mathematics and Computer Science - Computational Intelligence in Modern Control Systems
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In the paper the problem of practical stability of linear positive discrete-time systems of fractional order is addressed. New simple necessary and sufficient conditions for practical stability and for practical stability independent of the length of practical implementation are established. It is shown that practical stability of the system is equivalent to asymptotic stability of the corresponding standard positive discrete-time systems of the same order. The discussion is illustrated with numerical examples.