Modeling nonlinear stabilization system on clusters with Intel Xeon Phi coprocessors

Currently, cluster systems are widely used, the nodes of which use processors with a large number of cores. Effective software implementation on such computing systems requires that the corresponding mathematical models have a significant parallelism resource. For the problems of modeling of hybrid dynamical systems (HDS) a significant resource of parallelism is typical, since in this class of mathematical models the (theoretically infinite-dimensional) phase space of control objects with space-distributed parameters is isolated. The purpose of this work is to study the effectiveness of the software implementation on parallel computing systems of the class of modeling problems of the influence of typical nonlinearities and nonstationarity on the output vector function of the HDS. As an example, a nonlinear stabilization system for a mobile control object (the rocket taking into account the elastic deformations of its body) is considered.