hybrid systems

Verification algorithms for networks of nonlinear hybrid au- tomata (HA) can aid understanding and controling of biological processes such as cardiac arrhythmia, formation of memory, and genetic regulation. We present an algorithm for over-approximating reach sets of networks of nonlinear HA which can be used for sound and relatively complete invariant checking. First, it uses automatically computed input-to-state discrepancy functions for the individual automata modules in the network A for constructing a low-dimensional model M.

Abstract:

Motivation and goal: The whole-system design and modeling of complex medical robotics involves analog sensors and actuators; discrete software controllers; piecewise, non-linear, discontinuous biological tissues/media; and probabilistic human administrators.

In the best case, the failure of such systems risks limb. In the worst, life.