Analysis and verification of stochastic hybrid systems
Stochastic Hybrid Systems (SHS) are dynamical models that are employed to characterize the probabilistic evolution of systems with interleaved and interacting continuous and discrete components.
Formal analysis, verification, and optimal control of SHS models represent relevant goals because of their theoretical generality and for their applicability to a wealth of studies in the Sciences and in Engineering.
In a number of practical instances the presence of a discrete number of continuously operating modes (e.g., in fault-tolerant industrial systems), the effect of uncertainty (e.g., in safety-critical air-traffic systems), or both occurrences (e.g., in models of biological entities) advocate the use of a mathematical framework, such as that of SHS, which is structurally predisposed to model such heterogeneous systems.
In this project, we plan to investigate and develop new analysis and verification techniques (e.g., based on abstractions) that are directly applicable to general SHS models, while being computationally scalable.
Courses: Computer-Aided Formal Verification, Probabilistic Model Checking, Probability and Computing, Automata Logic and Games
Prerequisites: Familiarity with stochastic processes and formal verification