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Theory and Modern Applications

Table 7 Upper bounds of \(\pmb{\sigma_{2}}\) for Example 4.4 when \(\pmb{\gamma=0.05}\)

From: New delay-range-dependent exponential stability criteria for certain neutral differential equations with interval discrete and distributed time-varying delays

Methods

\(\boldsymbol {\tau_{2}=0.1}\)

\(\boldsymbol {\sigma_{2}}\)

A.S. ( α  = 0)

E.S. ( α  = 0.0038)

Park (2004) [30]

0.444

-

Park and Kwon (2008) [32]

1.90

-

Kwon and Park (2008) [21]

107

-

Li (2009) [24]

2.07

-

Nam and Phat (2009) [29]

2.32

-

Rojsiraphisal and Niamsup (2010) [34]

2.32

1.947

Chen and Meng (2011) [8]

1021

-

Chen (2012) [7]

1.34 × 1021

175.289

Corollary 3.2

3.15 × 109

3,700