Positive fractional continuous-time linear systems with singular pencils

Bulletin of the Polish Academy of Sciences. Technical Sciences

T. KaczorekFaculty of Electrical Engineering, Bialystok University of Technology, 45D Wiejska St., 15-351 Bialystok, PolandOther articles by this author:De Gruyter OnlineGoogle Scholar¹ 

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

关键词: Keywords: positive;    fractional;    descriptor;    continuous-time;    linear;    system;    singular pencil;   

DOI  :  10.2478/v10175-012-0002-0

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 】

A method for checking the positivity and finding the solution to the positive fractional descriptor continuous-time linear systems with singular pencils is proposed. The method is based on elementary row and column operations of the fractional descriptor systems to equivalent standard systems with some algebraic constraints on state variables and inputs. Necessary and sufficient conditions for the positivity of the fractional descriptor systems are established.

【 授权许可】

Unknown