Corpus ID: 237592959

Another proof of Hayes' and Sakata's results by critical delay and its comparison with the method of D-partitions in combination with delay sequence for purely imaginary roots

  title={Another proof of Hayes' and Sakata's results by critical delay and its comparison with the method of D-partitions in combination with delay sequence for purely imaginary roots},
  author={Junya Nishiguchi},
The location of roots of the characteristic equation of a linear delay differential equation (DDE) determines the stability of the linear DDE. However, by its transcendency, there is no general criterion on the contained parameters for the stability. Here we concentrate on the study of a simple transcendental equation (∗) z+a−we−zτ = 0 with coefficients of real a and complex w and a delay parameter τ > 0 to tackle this transcendency brought by delay. The consideration is twofold: (i) to give… Expand

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