Input-to-state dynamical stability of interconnected systems

Abstract— We consider networks of input-to-state dynamically stable (ISDS) systems and provide a small gain condition under which the entire network is again ISDS. A Lyapunov formulation of the nonlinear small gain theorem for two interconnected ISDS systems is proved. It provides a constructive method to find an ISDS Lyapunov function for such an interconnection.

• Type: Conference
• Year: 2009
• Where: CDC
• Authors: Sergey Dashkovskiy, Lars Naujok
• Keywords: CDC 2009, Control Systems, Interconnected Isds Systems, ISDS Lyapunov Function, Small Gain