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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 2 Bound on time delay σ for ensuring stability of equation ( 3 ) in Example 3

From: Globally exponential stability of a certain neutral differential equation with time-varying delays

 

[8]

[7]

[9]

[12]

[13]

[15]

[16]

Our equation (8)

Our equation (11)

A.S.

1021

-

2.22

107

2.32

1.902

2.32

-

1021

E.S. (k = 0.0038)

175.289

1021 (No k)

-

-

-

-

1.947

175.354

-

  1. Notations: ‘A.S.’ and ‘E.S.’ stand for asymptotically and exponentially stable, respectively. ‘No k’ means that the rate of convergence cannot be specified.
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