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

Tian and Chen (2006)

0.6870

0.8500

0.9460

1.0480

Lien et al. (2007) Corollary 1

0.7945

0.8487

0.9316

1.0325

Peng et al. (2011) Corollary 5

0.9119

0.9793

1.0639

1.1662

Tian et al. (2009) Corollary 1

1.1410

1.1500

1.1720

1.2090

Souza et al. (2014) Corollary 4

1.1639

1.1734

1.1994

1.2532

\(C II\,(N=1,\rho =0.95)\)

1.3775

1.4419

1.4837

1.5002

\(C II\,(N=2,\rho =0.95)\)

1.3780

1.4447

1.4940

1.5279

\(C I\,(N=1,\rho =0.35)\)

2.3328

2.0765

1.8643

1.6990

\(C I\,(N=2,\rho =0.35)\)

2.3371

2.1024

1.9288

1.8101