... methods¹

Moreover the coefficients (parameters) of the corresponding numerical methods are the same in ODE and DDE cases.

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... solutions²

Hence, taking into account continuous dependence of DDE solution on initial data and the approximate character of numerical procedures, we can assume that the given initial function generates the smooth solution.

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... ³

The pre-history of the discrete model.

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... delay⁴

The system is the conditional representation of the system:

$$\dot{x}$$(t) = A x(t) + A_$\tau$ x(t - $$\tau$$) + B u(t) .

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... by⁵

The example is adapted from [10,13].

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... series⁶

For example, trigonometrical system.

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