Table 1 Example 1-maximum allowable delay bounds of \(\tau _{2}\) under different values of \(\tau _{1}\) with d unknown

Tian et al. (2009) Corollary 1

–

1.2647

1.3032

1.3528

1.4214

An and Wen (2011) Theorem 1

1.2780

1.3030

1.3160

1.3610

1.4250

Souza et al. (2014) Corollary 4

–

1.2836

1.3394

1.4009

1.4815

Peng and Fei (2013) Theorem 1(\(N=2\))

1.3400

1.3200

1.3200

–

1.4200

Peng and Fei (2013) Theorem 1(\(N=3\))

1.3800

1.3900

1.4300

–

1.5700

Zhao et al. (2013) Theorem 1

–

1.3802

1.4627

–

1.6066

Xia et al. (2014) Theorem 4

–

1.5274

1.5361

1.5762

1.6340

\(C II\,(\rho =0.7, N=1)\)

1.4841

1.6743

1.7794

1.7965

1.7805

\(C II\,(\rho =0.7, N=2)\)

1.4839

1.6761

1.8001

1.8403

1.8699

\(C I\,(\rho =0.3, N=1)\)

3.2721

2.5582

2.0346

1.8698

1.7495

\(C I\,(\rho =0.3, N=2)\)

3.2712

2.6034

2.1798

2.0577

1.9769