International Journal of applied mathematics and computer science

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Paper details

Number 2 - June 2006
Volume 16 - 2006

Realization problem for positive multivariable discrete-time linear systems with delays in the state vector and inputs

Tadeusz Kaczorek

Abstract
The realization problem for positive multivariable discrete-time systems with delays in the state and inputs is formulated and solved. Conditions for its solvability and the existence of a minimal positive realization are established. A procedure for the computation of a positive realization of a proper rational matrix is presented and illustrated with examples.

Keywords
positive realization, discrete-time system, time delay, existence, computation