2007•International Conference on SystemsRequires access

Reachability, observability and minimality for a class of 2D continuous-discrete systems

Valeriu Prepeliţă, Ionel Ţevy

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Abstract

Reachability and observability criteria are obtained for 2D continuous-discrete time-variable Attasi type systems by using suitable 2D reachability and observability Gramians. Necessary and sufficient conditions of reachability and observability are derived for time-invariant systems. The duality between the two concepts is emphasized as well as their connection with the minimality of these systems.

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What this paper is about

Reachability and observability criteria are obtained for 2D continuous-discrete time-variable Attasi type systems by using suitable 2D reachability and observability Gramians. Necessary and sufficient conditions of reachability and observability are derived for time-invariant systems. The duality between the two concepts is emphasized as well as their connection with the minimality of these systems.

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Available abstract

Reachability and observability criteria are obtained for 2D continuous-discrete time-variable Attasi type systems by using suitable 2D reachability and observability Gramians. Necessary and sufficient conditions of reachability and observability are derived for time-invariant systems. The duality between the two concepts is emphasized as well as their connection with the minimality of these systems.

Key concepts: Observability, Reachability, Mathematics, Controllability, Class (philosophy), Invariant (physics), Duality (order theory), Control theory (sociology)

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