Simple conditions for practical stability of positive fractional discrete-time linear systems. (English) Zbl 1167.93019

Summary: 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.


93C55 Discrete-time control/observation systems
15B48 Positive matrices and their generalizations; cones of matrices
93D20 Asymptotic stability in control theory
93C05 Linear systems in control theory
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