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Reachability analysis of rational eigenvalue linear systems. (English) Zbl 1206.93013
Summary: One of the key problems in the safety analysis of control systems is the exact computation of reachable state spaces for continuous-time systems. Issues related to the controllability and observability of these systems are well-studied in systems theory. However, there are not many results on reachability, even for general linear systems. In this study, we present a large class of linear systems with decidable reachable state spaces. This is approached by reducing the reachability analysis to real root isolation of exponential polynomials. Furthermore, we have implemented this method in a Maple package based on symbolic computation and applied to several examples successfully.
93B03Attainable sets
93C05Linear control systems
93B55Pole and zero placement problems
65G40General methods in interval analysis