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Theoretical Computer Science
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Hybrid Systems II
Towards Computing Phase Portraits of Polygonal Differential Inclusions
HSCC '02 Proceedings of the 5th International Workshop on Hybrid Systems: Computation and Control
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HSCC '02 Proceedings of the 5th International Workshop on Hybrid Systems: Computation and Control
SPeeDI - A Verification Tool for Polygonal Hybrid Systems
CAV '02 Proceedings of the 14th International Conference on Computer Aided Verification
Reachability Analysis of Planar Multi-limear Systems
CAV '93 Proceedings of the 5th International Conference on Computer Aided Verification
RTSS '95 Proceedings of the 16th IEEE Real-Time Systems Symposium
Computing invariance kernels of polygonal hybrid systems
Nordic Journal of Computing
Algorithmic analysis of polygonal hybrid systems, part I: Reachability
Theoretical Computer Science
Static analysis for state-space reduction of polygonal hybrid systems
FORMATS'06 Proceedings of the 4th international conference on Formal Modeling and Analysis of Timed Systems
A compositional algorithm for parallel model checking of polygonal hybrid systems
ICTAC'06 Proceedings of the Third international conference on Theoretical Aspects of Computing
Hi-index | 5.23 |
Polygonal differential inclusion systems (SPDI) are a subclass of planar hybrid automata which can be represented by piecewise constant differential inclusions. The reachability problem as well as the computation of certain objects of the phase portrait is decidable. In this paper we show how to compute the viability, controllability and invariance kernels, as well as semi-separatrix curves for SPDIs. We also present the tool SPeeDI^+, which implements a reachability algorithm and computes phase portraits of SPDIs.