Liu, TengfeiHill, DavidJiang, Zhong-Ping2015-12-10December 19781424438723http://hdl.handle.net/1885/55742This paper provides a Lyapunov formulation of the cyclic-small-gain theorem for general dynamical networks (large-scale systems) composed of interconnected input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for dynamical networks satisfying cyclic-small-gain are constructed from the ISS-Lyapunov functions of the subsystems.Keywords: Dynamical networks; Input to state stable; ISS-Lyapunov functions; Lyapunov; Small gain theorem; Lyapunov functions; Differential equations200910.1109/CDC.2009.54006472016-02-24