<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

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

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

International Journal of Applied Mathematics and Computer Science

Fractional positive asymptotically stable continuous-time linear systems are approximated by fractional positive asymptotically stable discrete-time systems...

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

Published Online: Sep 30, 2013

Page range: 501 - 506

DOI: https://doi.org/10.2478/amcs-2013-0038

This content is open access.