Stability of fractional positive continuous-time linear systems with state matrices in integer and rational powers

Bulletin of the Polish Academy of Sciences. Technical Sciences

T. KaczorekFaculty of Electrical Engineering, Bia?ystok Univeristy of Technology, 45D Wiejska St., 15-351 Bia?ystok, PolandEmailOther articles by this author:De Gruyter OnlineGoogle Scholar¹ 

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

关键词: Keywords: stability;    fractional;    positive;    linear;    continuous-time;    system;    integer;    rational;    order;   

DOI  :  10.1515/bpasts-2017-0034

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 stability of fractional standard and positive continuous-time linear systems with state matrices in integer and rational powers is addressed. It is shown that the fractional systems are asymptotically stable if and only if the eigenvalues of the state matrices satisfy some conditions imposed on the phases of the eigenvalues. The fractional standard systems are unstable if the state matrices have at least one positive eigenvalue.

【 授权许可】

Unknown