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Region stability proofs for hybrid systems. (English) Zbl 1141.93353

Raskin, Jean-François (ed.) et al., Formal modeling and analysis of timed systems. 5th international conference, FORMATS 2007, Salzburg, Austria, October 3–5, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-75453-4/pbk). Lecture Notes in Computer Science 4763, 320-335 (2007).
Summary: We present a method and tool (and implementation) for automatic proofs of region stability for hybrid systems. The formal basis of our approach is the new notion of snapshot sequences. We use snapshot sequences for a characterization of region stability. Our abstraction-based algorithm checks the conditions in this characterization. A number of experiments demonstrate the practical potential of our approach.
For the entire collection see [Zbl 1138.68007].

MSC:

93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93D99 Stability of control systems