Liu, TengfeiHill, DavidJiang, Zhong-Ping2015-12-100167-6911http://hdl.handle.net/1885/60562This paper presents a Lyapunov formulation of the cyclic-small-gain theorem for dynamical networks composed of discrete-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for dynamical networks satisfying the cyclic-small-gain condition are constructed from the ISS-Lyapunov functions of the subsystems.Keywords: Discrete-time; Discrete-time case; Dynamical networks; Input to state stable; Input-to-state stability (ISS); ISS-Lyapunov functions; Lyapunov; Small-gain; Control; Electrical engineering; Lyapunov functions Discrete-time; Dynamical networks; Input-to-state stability (ISS); Lyapunov functions; Small-gain201210.1016/j.sysconle.2011.11.0022016-02-24