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

Bulletin of the Polish Academy of Sciences. Technical Sciences

T. KaczorekCorresponding authorFaculty of Electrical Engineering, Bia?ystok University of Technology, 45D Wiejska St., 15-351 Bia?ystokEmailOther articles by this author:De Gruyter OnlineGoogle Scholar¹ 

[1] Faculty of Electrical Engineering, Bia?ystok University of Technology, 45D Wiejska St., 15-351 Bia?ystok

关键词: Keywords: positive;    fractional;    discrete-time;    asymptotic stability;    nonlinear;    Lyapunov method;   

DOI  :  10.1515/bpasts-2016-0054

学科分类：工程和技术（综合）

来源: Polska Akademia Nauk * Centrum Upowszechniania Nauki / Polish Academy of Sciences, Center for the Advancement of Science

【 摘 要 】

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.

【 授权许可】

Unknown