International Journal of applied mathematics and computer science

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Paper details

Number 3 - September 2013
Volume 23 - 2013

Approximation of fractional positive stable continuous-time linear systems by fractional positive stable discrete-time systems

Tadeusz Kaczorek

Abstract
Fractional positive asymptotically stable continuous-time linear systems are approximated by fractional positive asymptotically stable discrete-time systems using a linear Padé-type approximation. It is shown that the approximation preserves the positivity and asymptotic stability of the systems. An optional system approximation is also discussed.

Keywords
Padé approximation, fractional system, linear positive system

DOI
10.2478/amcs-2013-0038