Ela Reachability Indices
نویسنده
چکیده
It is well known that positive linear systems have differences in the concepts and characterizations of the structural properties of reachability and controllability. In this paper, the reachability indices of a positive system are defined and consequently they are studied. For that, a canonical form of the reachability indices is given by positive similarity. From that canonical form, it is established that the reachability indices are invariant by positive similarity. At the end, a complete sequence of invariants of a canonical reachability system is given.
منابع مشابه
Reachability indices of positive linear systems
It is well known that positive linear systems have differences in the concepts and characterizations of the structural properties of reachability and controllability. In this paper, the reachability indices of a positive system are defined and consequently they are studied. For that, a canonical form of the reachability indices is given by positive similarity. From that canonical form, it is es...
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The smallest number of steps needed to reach all nonnegative local states of a positive two-dimensional (2-D) system is the local reachability index of the system. The study of such a number is still an open problem which seems to be a hard task. In this paper, an expression depending on the dimension n as well as an upper bound on the local reachability index of a special class of systems are ...
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Received by the editors September 23, 2009. Accepted for publication February 11, 2010. Handling Editor: Daniel Szyld. Dipartimento di Ingegneria dell’Informazione, Università di Padova, I-35131 Padova, Italy ([email protected]). Mathematisches Institut, Universität Würzburg, D-97074 Würzburg, Germany ([email protected]). Electronic Journal of Linear Algebra ISSN 1081-3810 A...
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