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In this paper, we propose a clustered model reduction method for networked dissipative systems, which consist of identical subsystems having a dissipative property. In the clustered model reduction, we perform both network structure simplification and subsystem approximation, implemented as block-diagonally structured orthogonal projection. To develop this model reduction method, we derive a condition...
This paper proposes two model reduction methods for large-scale bidirectional networks that fully utilize a network structure transformation implemented as positive tridiagonalization. First, we present a Krylov-based model reduction method that guarantees a specified error precision in terms of the -norm. Positive tridiagonalization allows us to derive an approximation error bound...
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