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S. Dashkovskiy, P. Feketa (2015)
Prolongation and stability of Zeno solutions to hybrid dynamical systemsarXiv: Dynamical Systems
Y. Or, A. Ames (2011)
Stability and Completion of Zeno Equilibria in Lagrangian Hybrid SystemsIEEE Transactions on Automatic Control, 56
K. Johansson, M. Egerstedt, J. Lygeros, S. Sastry (1999)
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R. Goebel, R. Sanfelice (2016)
How well-posedness of hybrid systems can extend beyond Zeno times2016 IEEE 55th Conference on Decision and Control (CDC)
A way to prolong Zeno solutions to hybrid dynamical system beyond Zeno time is proposed. Additionally, we provide a new definition of asymptotic stability that is equipped with sufficient conditions for its verification. It allows to investigate long‐term behavior of the prolonged solutions to hybrid dynamical systems. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Proceedings in Applied Mathematics & Mechanics – Wiley
Published: Dec 1, 2017
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