Abstract
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.
Highlights
Cluster systems are widely used, in the nodes of which one or several processors with a large number of cores are used
Examples include computing systems with new Intel Xeon processors with scalable architecture or computing systems with Intel Xeon Phi coprocessors that are used as virtual cluster nodes
For the problems of hybrid dynamical systems (HDS) modeling a significant resource of parallelism is typical, since the phase space of control objects with distributed parameters is isolated
Summary
Cluster systems are widely used, in the nodes of which one or several processors with a large number of cores are used. The nonlinear system of angular stabilization of the movable control object with deformable body is the example [3, 4]. For the problems of HDS modeling a significant resource of parallelism is typical, since the (theoretically infinitedimensional) phase space of control objects with distributed parameters is isolated. Modeling of systems of angular stabilization of movable control objects with deformable body was considered in [14, 3, 4]. 3. Problem formulation 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. Труды ИСП РАН, том 31, вып. 3, 2019 г., стр. 229-240 stabilization of the movable control object (the rocket taking into account the deformations of its body), but providing stabilization both with respect to the vertical direction and with respect to the longitudinal axis, as well as a smooth change in the time of the thrust force of the rocket engine
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