Displaying similar documents to “A classification of linear controllable systems”

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...

Externally and internally positive time-varying linear systems

Tadeusz Kaczorek (2001)

International Journal of Applied Mathematics and Computer Science

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The notions of externally and internally positive time-varying linear systems are introduced. Necessary and sufficient conditions for the external and internal positivities of time-varying linear systems are established. Moreover, sufficient conditions for the reachability of internally positive time-varying linear systems are presented.