Mathematical, logical and computational foundations of hybrid control systems, and their application to design and synthesis problems in control engineering

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Mathematical, logical and computational foundations of hybrid control systems, and their application to design and synthesis problems in control engineering. Hybrid control systems are mathematical models of heterogeneous systems consisting of digital computer components interacting in real-time with continuous physical processes. Their many engineering applications include air traffic control, medical technology and automated transport. Motivated by such safety-critical and high-confidence applications, the project aims to develop a unified framework of mathematical logics adequate to formally represent and reason about the structure, behaviour, and properties of hybrid control systems, and use this to develop methodologies for automatically synthesising hybrid control programs that are provably correct with respect to their specifications. Other outcomes include prototype software implementations of hybrid controller design tools.