Controllability, reachability and minimum energy control of fractional discrete-time linear systems with multiple delays in state

Bulletin of the Polish Academy of Sciences. Technical Sciences

M. Bus?owiczFaculty of Electrical Engineering, Bialystok University of Technology, 45D Wiejska St., 15-351 Bialystok, PolandEmailOther 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: linear systems;    fractional;    discrete-time;    time-delay;    controllability;    reachability;    minimum energy control;   

DOI  :  10.2478/bpasts-2014-0023

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 controllability, reachability and minimum energy control of a fractional discrete-time linear system with delays in state are addressed. A general form of solution of the state equation of the system is given and necessary and sufficient conditions for controllability, reachability and minimum energy control are established. The problems are considered for systems with unbounded and bounded inputs. The considerations are illustrated by numerical examples. Influence of a value of the fractional order on an optimal value of the performance index of the minimum energy control is examined on an example.

【 授权许可】

Unknown