Stability of networks of hybrid ISS systems

— Interconnection of several hybrid input-to-state stable (ISS) systems is considered in this paper. We ask under what condition is such an interconnection stable and how an ISS-Lyapunov function can be constructed for the whole interconnection. Small-gain condition to assure stability is given. A construction of an ISS-Lyapunov function for the whole system is provided under the small-gain condition.

• Type: Conference
• Year: 2009
• Where: CDC
• Authors: Sergey Dashkovskiy, Michael Kosmykov
• Keywords: CDC 2009, Control Systems, Interconnection, ISS-Lyapunov Function, Stable