Displaying similar documents to “The relationship between the infinite eigenvalue assignment for singular systems and the solvability of polynomial matrix equations”

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.

Infinite eigenvalue assignment by an output feedback for singular systems

Tadeusz Kaczorek (2004)

International Journal of Applied Mathematics and Computer Science

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The problem of an infinite eigenvalue assignment by an output feedback is considered. Necessary and sufficient conditions for the existence of a solution are established. A procedure for the computation of the output-feedback gain matrix is given and illustrated with a numerical example.

Minimal realization for positive multivariable linear systems with delay

Tadeusz Kaczorek, Mikołaj Busłowicz (2004)

International Journal of Applied Mathematics and Computer Science

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The realization problem for positive multivariable discrete-time systems with one time delay is formulated and solved. Conditions for the solvability of the realization problem are established. A procedure for the computation of a minimal positive realization of a proper rational matrix is presented and illustrated by an example.