Diagonal Stability for a Class of Cyclic Systems and Applications

@inproceedings{Arcak2005DiagonalSF,
  title={Diagonal Stability for a Class of Cyclic Systems and Applications},
  author={Murat Arcak and Eduardo D. Sontag},
  year={2005}
}
We consider a class of systems with a cyclic structure that arises, among other examples, in dynamic models for certain biochemical reactions. We first show that a criterion for local stability, derived earlier in the literature, is in fact a necessary and sufficient condition for diagonal stability of the corresponding class of matrices. We then revisit a recent generalization of this criterion to output strictly passive systems, and recover the same stability condition using our diagonal… CONTINUE READING

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