IEEE Transactions on Automatic Control, Vol.62, No.10, 5254-5261, 2017
Coprime Factors Model Reduction of Spatially Distributed LTV Systems Over Arbitrary Graphs
This technical note is on the model reduction of distributed systems formed by discrete-time, linear time-varying, heterogeneous subsystems interconnected over arbitrary directed graphs and subjected to communication latency. We give two procedures to construct a strongly stable coprime factorization for a strongly stabilizable and strongly detectable system. One of the procedures ensures the contractiveness of the resulting factorization. Then, we apply the structure-preserving balanced truncation method for distributed systems. We illustrate the proposed methods through an example.
Keywords:Arbitrary graphs;contractive coprime factorizations;coprime factors reduction;interconnected systems;linear time-varying systems;structure-preserving model reduction