Abstract
In previous work we demonstrated that reachability algorithms using level set methods and based on the Hamilton-Jacobi PDE can be adapted to systems whose dynamics are described by differential algebraic equations. Here we extend those results to hybrid systems. The only significant addition required is a mechanism for handling the state reset that occurs during discrete jumps between modes. We demonstrate the technique on a nonlinear power system voltage safety problem.
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© 2008 Springer-Verlag Berlin Heidelberg
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Mitchell, I.M., Susuki, Y. (2008). Level Set Methods for Computing Reachable Sets of Hybrid Systems with Differential Algebraic Equation Dynamics. In: Egerstedt, M., Mishra, B. (eds) Hybrid Systems: Computation and Control. HSCC 2008. Lecture Notes in Computer Science, vol 4981. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78929-1_51
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DOI: https://doi.org/10.1007/978-3-540-78929-1_51
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-78928-4
Online ISBN: 978-3-540-78929-1
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