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2 Bulletin of the Polish Academy of Sciences. Technical Sciences

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Results on the controllability of Caputo’s fractional descriptor systems with constant delays

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Beata S.

tom Vol. 71, nr 4

art. no. e146287

The paper investigates the controllability of fractional descriptor linear systems with constant delays in control. The Caputo fractional derivative is considered. Using the Drazin inverse and the Laplace transform, a formula for solving of the matrix state equation is obtained. New criteria of relative controllability for Caputo’s fractional descriptor systems are formulated and proved. Both constrained and unconstrained controls are considered. To emphasize the importance of the theoretical studies, an application to electrical circuits is presented as a practical example.

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

100%

Younus A. , Javaid I. , Zehra A.

2017

tom Vol. 65, nr 3

297--304

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.