78 citations · 133 across the 18 of their papers we have counts for
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math.DS2013
Model Reduction Near Periodic Orbits of Hybrid Dynamical Systems
Samuel A. Burden, Shai Revzen, S. Shankar Sastry
We show that, near periodic orbits, a class of hybrid models can be reduced to or approximated by smooth continuous-time dynamical systems. Specifically, near an exponentially stab…
math.OC2013★ 35 cited
Metrization and Simulation of Controlled Hybrid Systems
Samuel Burden, Humberto Gonzalez, Ramanarayan Vasudevan +2
The study of controlled hybrid systems requires practical tools for approximation and comparison of system behaviors. Existing approaches to these problems impose undue restriction…