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International Journal of Applied Mathematics and Computer Science

Journal of University of Zielona Gora and Lubuskie Scientific Society

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Open Access


Simple Conditions for Practical Stability of Positive Fractional Discrete-Time Linear Systems

Mikołaj Busłowicz1 / Tadeusz Kaczorek1

Faculty of Electrical Engineering, Białystok Technical University, ul. Wiejska 45D, 15-351 Białystok, Poland1

This content is open access.

Citation Information: International Journal of Applied Mathematics and Computer Science. Volume 19, Issue 2, Pages 263–269, ISSN (Print) 1641-876X, DOI: 10.2478/v10006-009-0022-6, July 2009

Publication History

Published Online:

Simple Conditions for Practical Stability of Positive Fractional Discrete-Time Linear Systems

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.

Keywords: linear system; positive; discrete-time; fractional; stability; practical stability

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