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This paper addresses the analysis of slope-parametric hybrid automata: finding conditions on the slopes of the automaton variables, for some safety property to be verified. The problem is shown decidable in some practical situations (e.g. finding the running speeds of tasks in a real time application, for all tasks to respect their deadlines). The resolution technique generalizes polyhedral-based...
Slope-parametric hybrid automata (SPHA) are hybrid automata whose variables can have parametric slopes. SPHA are useful, in particular, for modeling task-control systems in which the task speeds can be adjusted for meeting some safety requirement. In this paper, we present an example of parametric analysis for a simple task system. We introduce a prototype verification tool that fully automates the...
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