On controllability and observability of fractional continuous-time linear systems with regular pencils

Bulletin of the Polish Academy of Sciences. Technical Sciences

A. YounusCentre for Advanced Studies in Pure and Applied Mathematics, BZU, Multan, PakistanOther articles by this author:De Gruyter OnlineGoogle Scholar¹  I. JavaidCentre for Advanced Studies in Pure and Applied Mathematics, BZU, Multan, PakistanOther articles by this author:De Gruyter OnlineGoogle Scholar¹  A. ZehraCorresponding authorPIET, Multan, PakistanEmailOther articles by this author:De Gruyter OnlineGoogle Scholar² 

[1] Centre for Advanced Studies in Pure and Applied Mathematics, BZU, Multan, Pakistan;PIET, Multan, Pakistan

关键词: Keywords: controllability;    observability;    Gramian matrix;    regular pencil;    Drazin inverse;   

DOI  :  10.1515/bpasts-2017-0033

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 this paper necessary and sufficient conditions of controllability and observability for solutions of the state equations of fractional continuous time linear systems with regular pencils are proposed. The derivations of the conditions are based on the construction of Gramian matrices.

【 授权许可】

Unknown