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A compositional performance certification method is presented for interconnected systems using subsystem dissipativity properties and the interconnection structure. A large-scale optimization problem is formulated to search for the most relevant dissipativity properties. The alternating direction method of multipliers (ADMM) is employed to decompose and solve this problem, and is demonstrated on several...
We present a compositional performance certification method for interconnected nonlinear systems, using dissipativity properties of the subsystems along with the interconnection structure. To select the most relevant dissipativity properties, we formulate a large-scale optimization problem, and solve it with the alternating direction method of multipliers (ADMM). The dissipativity properties are allowed...
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...
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