An algorithm for numerical simulations of hybrid dynamical systems

Published в Actual directions of scientific researches of the XXI century: theory and practice · Volume 2, Issue 4, p. 2, 2014 · Pages 184–187 · Rubrics: Section: Computer technology in the process of mathematical modeling of dynamic systems
DOI 10.12737/5144
Received: 29.08.2014 Accepted: 06.10.2014 Published: 06.10.2014 Language of publication: RUS
An algorithm for modelling of discrete-continuous systems is developed based on the ASCEND project. Some problems of numerical modelling specific for such type of systems are considered and ways of their solutions are described.
systems numerical methods computer modelling

Основные понятия. 

Гибридные дискретно-непрерывные системы – это такие динамические системы, которые сочетают в себе как непрерывное, так и дискретное поведение. В момент дискретного перехода – или, иначе говоря, вызова дискретного события в системе происходят скачки значений некоторых переменных и/или изменение структуры системы.

References

1. G. Mao, L.R. Petzold. Efficient Integration over Discontinuities for Differential-Algebraic Systems. Computers and Mathematics with Applications 43, 2002. - S. 65 - 79.

2. D. Zimmer. Equation-based modeling of variable-structure systems. Swiss Federal Institute of Technology, Zurich, 2010.

3. S.N. Yadukumar, B. Kothapalli, A.D. Ames. Zeno Behavior in Electromechanical Hybrid Systems: From Theory to Experimental Validation. American Control Conference (ACC), 2012.

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