Probabilistic invariance of mixed deterministic-stochastic dynamical systems
Proceedings of the 15th ACM international conference on Hybrid Systems: Computation and Control
Higher-Order approximations for verification of stochastic hybrid systems
ATVA'12 Proceedings of the 10th international conference on Automated Technology for Verification and Analysis
Formula-free finite abstractions for linear temporal verification of stochastic hybrid systems
Proceedings of the 16th international conference on Hybrid systems: computation and control
Quantitative automata-based controller synthesis for non-autonomous stochastic hybrid systems
Proceedings of the 16th international conference on Hybrid systems: computation and control
Control design for specifications on stochastic hybrid systems
Proceedings of the 16th international conference on Hybrid systems: computation and control
A stochastic games framework for verification and control of discrete time stochastic hybrid systems
Automatica (Journal of IFAC)
Characterization and computation of infinite-horizon specifications over Markov processes
Theoretical Computer Science
Electronic Notes in Theoretical Computer Science (ENTCS)
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This work is concerned with the generation of finite abstractions of general Stochastic Hybrid Systems, to be employed in the formal verification of probabilistic properties by means of model checkers. The contribution employs an abstraction procedure based on a partitioning of the state space, and puts forward a novel adaptive gridding algorithm that is expected to conform to the underlying dynamics of the model and thus at least to mitigate the curse of dimensionality related to the partitioning procedure. With focus on the study of probabilistic safety over a finite horizon, the proposed adaptive algorithm is first benchmarked against a uniform gridding approach from the literature, and finally tested on a known applicative case study.