Simple analytic conditions for stability of fractional discrete-time linear systems with diagonal state matrix

Bulletin of the Polish Academy of Sciences. Technical Sciences

M. Bus?owiczCorresponding authorBia?ystok University of Technology, Faculty of Electrical Engineering, 45D Wiejska St., 15-351 Bia?ystok, PolandEmailOther articles by this author:De Gruyter OnlineGoogle Scholar¹ 

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

关键词: Keywords : linear system;    discrete-time;    fractional;    practical stability;    asymptotic stability;   

DOI  :  10.2478/v10175-012-0094-6

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 】

In the paper the problems of practical stability and asymptotic stability of fractional discrete-time linear systems with a diagonal state matrix are addressed. Standard and positive systems are considered. Simple necessary and sufficient analytic conditions for practical stability and for asymptotic stability are established. The considerations are illustrated by numerical examples.

【 授权许可】

Unknown