Input-to-state stability of interconnected hybrid systems

Details Input-to-state stability of interconnected hybrid systems Input-to-state stability of interconnected hybrid systems

2010-12-26

arxiv.org/abs/1012.5528v5

Mathematics

Dynamical Systems

7 pages, 0 figure

Scientific paper

We consider the interconnections of arbitrary topology of a finite number of
ISS hybrid systems and study whether the ISS property is maintained for the
overall system. We show that if the small gain condition is satisfied, then the
whole network is ISS and show how a non-smooth ISS-Lyapunov function can be
explicitly constructed in this case.

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