Liu, TengfeiJiang, Zhong-PingHill, David2015-12-10Septemberhttp://hdl.handle.net/1885/61808This paper develops a cyclic-small-gain theorem for hybrid dynamical networks composed of continuous-time and discrete-time input-to-state stable (ISS) subsystems. The main result is achieved in two steps: a) A hybrid dynamical network composed of ISS subsystems with interconnection gains less than the identity is ISS; b) Any hybrid dynamical networks satisfying the cyclic-small-gain condition can be transformed into networks with interconnection gains less than the identity. The sampling times of the discrete-time subsystems are independent of the states, which makes this result different from several of the existing results.Keywords: Continuous time; Cyclic-small-gain; Discrete-time; Hybrid dynamical; Input to state stable; Lyapunov; Hybrid systems; Nonlinear control systems Cyclic-small-gain; Hybrid systems; Lyapunov formulation201010.3182/20100901-3-IT-2016.000162016-02-24