Minimum energy control of fractional positive continuous-time linear systems using Caputo-Fabrizio definition

Bulletin of the Polish Academy of Sciences. Technical Sciences

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

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

关键词: Keywords: fractional positive continuous-time system;    minimum energy control;    bounded inputs;   

DOI  :  10.1515/bpasts-2017-0006

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 Caputo-Fabrizio definition of the fractional derivative is applied to minimum energy control of fractional positive continuous- time linear systems with bounded inputs. Conditions for the reachability of standard and positive fractional linear continuous-time systems are established. The minimum energy control problem for the fractional positive linear systems with bounded inputs is formulated and solved.

【 授权许可】

Unknown