Performance certification of interconnected systems using decomposition techniques

We propose a unified framework for the certification of stability and input-output performance of interconnected dynamical systems. In our approach, we seek local dissipativity certificates for each subsystem such that when they are combined, the performance of the entire interconnected system is certified. We also demonstrate, by the use of numerical simulations, that the Alternating Direction Method of Multipliers (ADMM) is a promising computational approach for solving such problems.