Analysis and Synthesis of Interconnected Positive Systems

@article{Ebihara2017AnalysisAS,
  title={Analysis and Synthesis of Interconnected Positive Systems},
  author={Yoshio Ebihara and Dimitri Peaucelle and Denis Arzelier},
  journal={IEEE Transactions on Automatic Control},
  year={2017},
  volume={62},
  pages={652-667}
}
This paper is concerned with the analysis and synthesis of interconnected systems constructed from heterogeneous positive subsystems and a nonnegative interconnection matrix. We first show that admissibility, to be defined in this paper, is an essential requirement in constructing such interconnected systems. Then, we clarify that the interconnected system is admissible and stable if and only if a Metzler matrix, which is built from the coefficient matrices of positive subsystems and the… CONTINUE READING
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