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Program Systems: Theory and Applications, 2012, Volume 3, Issue 5, Pages 45–58 (Mi ps82)  
Optimization Methods and Control Theory

Mathematical and software simulation of hybrid systems

Yu. V. Shornikova, D. N. Dostovalovb, A. V. Bessonovb

a Design-Technological Institute of Computer Equipment
b Novosibirsk State Technical University
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Abstract: The description of algorithms for numerical analysis of hybrid systems with stiff modes. Integration algorithm is based on explicit Runge–Kutta schemes with automatic step selection of accuracy and stability calculations. A method of step choosing that provides an asymptotic approximation to the boundary mode, based on an original theorem.
Key words and phrases: stiffness, event function, adaptive integration algorithm, event detection.
Received: 16.11.2012
Document Type: Article
Language: Russian
Citation: Yu. V. Shornikov, D. N. Dostovalov, A. V. Bessonov, “Mathematical and software simulation of hybrid systems”, Program Systems: Theory and Applications, 3:5 (2012), 45–58
Citation in format AMSBIB
\Bibitem{ShoDosBes12}
\by Yu.~V.~Shornikov, D.~N.~Dostovalov, A.~V.~Bessonov
\paper Mathematical and software simulation of hybrid systems
\jour Program Systems: Theory and Applications
\yr 2012
\vol 3
\issue 5
\pages 45--58
\mathnet{http://mi.mathnet.ru/ps82}
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