Strong Stability of Neutral Equations with an Arbitrary Delay Dependency Structure

@article{Michiels2009StrongSO,
  title={Strong Stability of Neutral Equations with an Arbitrary Delay Dependency Structure},
  author={Wim Michiels and Tom{\'a}s Vyhl{\'i}dal and Pavel Z{\'i}tek and Henk Nijmeijer and Didier Henrion},
  journal={SIAM J. Control and Optimization},
  year={2009},
  volume={48},
  pages={763-786}
}
The stability theory for linear neutral equations subjected to delay perturbations is addressed. It is assumed that the delays cannot necessarily vary independently of each other, but depend on a possibly smaller number of independent parameters. As a main result necessary and sufficient conditions for strong stability are derived along with bounds on the spectrum, which take into account the precise dependency structure of the delays. In the derivation of the stability theory results from… CONTINUE READING