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Some problems about structural properties of positive descriptor systems. (English) Zbl 1060.93065

Benvenuti, Luca (ed.) et al., Positive systems. Proceedings of the first multidisciplinary international symposium on positive systems: Theory and applications (POSTA 2003), Rome, Italy, August 28–30, 2003. Berlin: Springer (ISBN 3-540-40342-6/pbk). Lecture Notes in Control and Information Sciences 294, 233-240 (2003).
Summary: The reachability and controllability of positive descriptor systems are analyzed. Without nonnegative restrictions on the system, the reachability property is invariant under state feedbacks, but this is not true when a positive system is considered. In this work, some conditions on feedbacks are studied to obtain closed-loop positive systems preserving a structural property. In this way, it is worthwhile to obtain the corresponding reachable canonical form.
For the entire collection see [Zbl 1031.93004].

MSC:

93C55 Discrete-time control/observation systems
93B03 Attainable sets, reachability
93B20 Minimal systems representations
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