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Table 4 Example 3-maximum allowable delay bounds of \(\tau _{2}\) for different values of d with \(\tau _{1}=2\)

From: Delay-dependent stability and stabilization criteria for T–S fuzzy singular systems with interval time-varying delay by improved delay partitioning approach

Methods\({\setminus } d\)

0.1

0.35

0.6

0.85

0.9

0.95

Zhang et al. (2009) Theorem 1

3.3623

2.9810

2.6010

1.8330

1.0380

Mourad et al. (2013) Theorem 3

3.3685

3.1560

3.1510

3.0760

2.6750

2.0780

Wang et al. (2014) Theorem 1 (\(N=1\))

3.5023

3.2915

3.2379

3.1321

3.9775

2.5863

Wang et al. (2014) Theorem 1 (\(N=2\))

3.6761

3.4755

3.3580

3.2425

3.0737

2.8257

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

3.7445

3.7553

3.7566

3.7573

3.7550

3.7546

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

3.8070

3.8066

3.8064

3.8045

3.8065

3.8072

\(C I\,(\rho =0.45, N=1)\)

5.2484

4.4255

4.1246

4.0834

4.0663

4.0552

\(C I\,(\rho =0.45, N=2)\)

5.3596

4.5894

4.3146

4.2472

4.2140

4.1870