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

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.

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Bibliographic Details
Published in:Bulletin of the Polish Academy of Sciences. Technical sciences 2017-06, Vol.65 (3), p.297-304
Main Authors: Younus, A., Javaid, I., Zehra, A.
Format: Article
Language:English
Subjects:
Controllability
Drazin inverse
Equations of state
Gramian matrix
Linear systems
Matrices (mathematics)
observability
Observability (systems)
Pencils
regular pencil
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Description
Summary: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.
ISSN:2300-1917
0239-7528
2300-1917
DOI:10.1515/bpasts-2017-0033