Reachability and observability of linear impulsive systems. (English) Zbl 1283.93050
Summary: Linear impulsive systems constitute a class of hybrid systems in which the state propagates according to linear continuous-time dynamics except for a countable set of times at which the state can change instantaneously. While in general these impulsive effects can be time-driven and/or event-driven, here we focus our attention on the time-driven case. For this class of systems, we address the fundamental concepts of reachability and observability. In particular, we present a geometric characterization of the reachable and unobservable sets in terms of invariant subspaces and provide algorithms for their construction.
MSC:
| 93B03 | Attainable sets, reachability |
| 93B07 | Observability |
| 93C05 | Linear systems in control theory |
| 93C15 | Control/observation systems governed by ordinary differential equations |
Keywords:
linear impulsive systems; reachability; observability; invariant subspace; geometric methodsReferences:
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