Displaying similar documents to “Externally and internally positive time-varying linear systems”

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.

Behavioral systems theory: A survey

Eva Zerz (2008)

International Journal of Applied Mathematics and Computer Science

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We survey the so-called behavioral approach to systems and control theory, which was founded by J. C. Willems and his school. The central idea of behavioral systems theory is to put the focus on the set of trajectories of a dynamical system rather than on a specific set of equations modelling the underlying phenomenon. Moreover, all signal components are treated on an equal footing at first, and their partition into inputs and outputs is derived from the system law, in a way that admits...