Abstract
The paper develops realization theory for linear hybrid systems, i.e., hybrid systems in continuous-time without guards whose continuous dynamics is determined by linear control systems and whose discrete dynamics is determined by a finite-state automaton. We will formulate necessary and sufficient conditions for the existence of a realization. We will show that minimality is equivalent to observability and span-reachability, and that minimal systems are isomorphic. In turn, observability and span-reachability can be characterized by rank conditions.
Original language | English |
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Pages (from-to) | 2282-2297 |
Number of pages | 16 |
Journal | IEEE Trans. Automat. Contr. |
Volume | 55 |
Issue number | 10 |
DOIs | |
Publication status | Published - 2010 |