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The problem of zeroing of the state variables in fractional descriptor electrical circuits by state-feedbacks is formulated and solved. Necessary and sufficient conditions for the existence of gain matrices such that the state variables of closed-loop systems are zero for time greater zero are established. The procedure of choice of the gain matrices is demonstrated on simple descriptor electrical circuits with regular pencils

Necessary and sufficient conditions are established for the pointwise completeness of 2D standard and positive Fornasini- Marchesini models with state-feedbacks. Similar relations are obtained for the pointwise degeneracy of the 2D models with statefeedbacks. It is shown that if the positive 2D model is pointwise complete then there exists a gain matrix of the state-feedback such that the closed-loop system is pointwise degenerated if both matrices B1 and B2 of the 2D Fornasini-Marchesini model are nonzero. The considerations are illustrated by numerical examples. [ABSTRACT FROM AUTHOR]

LMI approach is applied to compute a gain matrix of state-feedbacks such that the closed-loop system is positive and asymptotically stable. Necessary and suffiecient conditions for the solvability of the problem are established. The proposed method is illustrated by two numerical examples. [ABSTRACT FROM AUTHOR]