Title

Analysis of positivity and stability of fractional discrete-time nonlinear systems

Journal title

Bulletin of the Polish Academy of Sciences: Technical Sciences

Yearbook

2016

Numer

No 3 September

Publication authors

T. Kaczorek

Keywords

General Engineering ; Computer Networks and Communications ; Atomic and Molecular Physics, and Optics ; Artificial Intelligence ; Information Systems

Divisions of PAS

Nauki Techniczne

Abstract

<jats:title>Abstract</jats:title><jats:p>The positivity and asymptotic stability of the fractional discrete-time nonlinear systems are addressed. Necessary and sufficient conditions for the positivity and sufficient conditions for the asymptotic stability of the fractional nonlinear systems are established. The proposed stability tests are based on an extension of the Lyapunov method to the positive fractional nonlinear systems. The effectiveness of tests is demonstrated on examples.</jats:p>

Publisher

Polish Academy of Sciences

Date

2016

Identifier

ISSN 0239-7528, eISSN 2300-1917

DOI

10.1515/bpasts-2016-0054