engleski

On Additive Lyapunov Functions and Existence of Neutral Supply Rates in Acyclic LTI Dynamical Networks

In this paper we are concerned with linear time invariant (LTI) systems which admit a Lyapunov function with a specific additive structure. We prove that if a dynamical network, composed as set of LTI systems interconnected over an acyclic graph, admits an additive quadratic Lyapunov function, then the systems are dissipative with respect to a set of interconnection neutral supply rates (we show that this set is necessarily nonempty), where each supply rate from the set is defined on a single interconnection link in the network.

Stability ; dissipativity ; large-scale systems ; networks

nije evidentirano