The Need for Interdisciplinarity in Modern Systems Engineering.- Markov Models.- Randomness Issues when Modeling Hybrid Systems.- Stochastic Hybrid Systems.- Reachability Analysis for Deterministic Hybrid Systems.- Stochastic Reachability Problems.- Different Methodologies for Stochastic Reachability.- Stochastic Reachability Based on Markov Process Theory.- Martingale Methods.- Stochastic Reachability as an Optimal Stopping Problem.- Dynamic Programming Approach to Stochastic Reachability.- Applications to Autonomous Systems.- Applications of Stochastic Reachability in Air-traffic Management.
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