Hierarchical Network Identification for Large-Scale Dissipative Systems

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In this research project, we considered hierarchical network systems and first derived a sufficient condition for identification of the system and gave an identification method (called hierarchical identification method) based on subspace identification method. As an extension of the method, we also developed a model reduction method based on distributed proper orthogonal decomposition. Moreover, we extended the hierarchical network identification method to dissipative systems and also derived an identification method for identification of supply rates. We should also stress that we derived some original results on Lyapunov stability, dissipativity and finite frequency properties of interconnected and distributed parameter systems in deriving preliminary results necessary to this project. On the other hand, it remains a future work to give a validation by application of the results of this project and toolbox developments.