Structure of Expansion-Contraction Matrices in the Inclusion Principle for Dynamic Systems

@article{Bakule2000StructureOE,
  title={Structure of Expansion-Contraction Matrices in the Inclusion Principle for Dynamic Systems},
  author={Lubom{\'i}r Bakule and Jos{\'e} Rodellar and Josep M. Rossell},
  journal={SIAM J. Matrix Analysis Applications},
  year={2000},
  volume={21},
  pages={1136-1155}
}
This paper characterizes a general structure of complementary matrices involved in the input-state-output inclusion principle for linear time invariant dynamic systems. Aggregations and restrictions are adopted as two practically important classes within this scheme. Further, contractibility conditions for feedback controllers are presented, including the decentralized control design. The identified structure enables the formulation of conditions on the complementary matrices which can be… CONTINUE READING
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