Distributed performance analysis of heterogeneous systems

In the study of distributed systems, it is of fundamental interest to understand how specifications on local components and interconnections influence global properties of the system. In this paper, we consider linear continuous time systems described by sparse matrices. Properties of interest are stability and quadratic performance specifications such as passivity and input-output gain. In particular, for systems with sparsity structure corresponding to a chordal graph, we show that sparse performance conditions can be expressed without conservatism.