On a small gain theorem for ISS networks in dissipative Lyapunov form

In this paper we consider several interconnected ISS systems supplied with ISS Lyapunov functions defined in the dissipative form. Our aim is to construct an ISS Lyapunov function for the interconnection. We provide a condition of a small gain type under which this construction is possible and describe a method of an explicit construction of such an ISS Lyapunov function.