Displaying similar documents to “Minimal realization for positive multivariable linear systems with delay”

Bilateral polynomial equations with unimodular right-hand-side matrices

Tadeusz Kaczorek (2003)

International Journal of Applied Mathematics and Computer Science

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Necessary and sufficient conditions are established for the existence of a solution to some bilateral polynomial matrix equations with unimodular right-hand-side matrices. A procedure for the computation of the solution is derived and illustrated by a numerical example. Two examples of applications of bilateral polynomial matrix equations are presented.

The relationship between the infinite eigenvalue assignment for singular systems and the solvability of polynomial matrix equations

Tadeusz Kaczorek (2003)

International Journal of Applied Mathematics and Computer Science

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Two related problems, namely the problem of the infinite eigenvalue assignment and that of the solvability of polynomial matrix equations are considered. Necessary and sufficient conditions for the existence of solutions to both the problems are established. The relationships between the problems are discussed and some applications from the field of the perfect observer design for singular linear systems are presented.