Results on input-to-output and input-output-to-state stability for hybrid systems and their interconnections

We present results for the analysis of input/output properties of interconnections of a general class of hybrid systems. Input-to-output and input-output-to-state stability for hybrid systems are considered. Definitions of these notions and sufficient conditions are introduced for hybrid systems given by a flow set, a flow map, a jump set, a jump map, and an output function. An interconnection result in terms of a small gain theorem for the said notions is also presented.