Lyapunov small-gain theorems for networks of not necessarily ISS hybrid systems

• Autores: Andrii Mironchenko, Guodong Yang, Daniel Liberzon
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 88, 2018, págs. 10-20
• Idioma: inglés
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• Resumen

  • We prove a novel Lyapunov-based small-gain theorem for networks composed of n≥2 hybrid subsystems which are not necessarily input-to-state stable. This result unifies and extends several small-gain theorems for hybrid and impulsive systems proposed in the last few years. We also show how average dwell-time (ADT) clocks and reverse ADT clocks can be used to modify the ISS Lyapunov functions for subsystems and to enlarge the applicability of the derived small-gain theorems.