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Reachability and observability of linear impulsive systems

✍ Scribed by Enrique A. Medina; Douglas A. Lawrence

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
346 KB
Volume
44
Category
Article
ISSN
0005-1098

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Feedback-reversibility and reachability
Feedback-reversibility and reachability of linear impulsive systems
✍ Enrique A. Medina; Douglas A. Lawrence πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 384 KB

For a linear impulsive system, the set of states that are reachable from the origin when the initial time, impulse times, and final time are fixed is contained in an invariant subspace determined by the system data. It is known that reversibility of the system is sufficient to yield, for a specified