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Theory and Modern Applications

Table 3 Maximum bounds \(\pmb{\tau_{M}}\) for \(\pmb{\tau_{m}=0.5,1}\)

From: Finite-time control for uncertain systems with nonlinear perturbations

\(\boldsymbol {\tau_{m}}\)

α , β

α  = 0, β  = 0.1

α  = 0.1, β  = 0.1

\(\boldsymbol {\bar{\tau}_{d}}\)

0.5

0.9

1.1

0.5

0.9

1.1

0.5

[24]

1.550

1.550

1.550

1.369

1.369

1.369

0.5

Theorem 3.1 (N = 2)

1.980

1.980

1.980

1.645

1.645

1.645

0.5

Theorem 3.1 (N = 3)

2.647

2.647

2.647

2.348

2.348

2.348

0.5

Theorem 3.1 (N = 4)

3.589

3.589

3.589

3.104

3.104

3.104

1

[24]

1.749

1.749

1.749

1.520

1.520

1.520

1

Theorem 3.1 (N = 2)

2.349

2.349

2.349

1.970

1.970

1.970

1

Theorem 3.1 (N = 3)

2.780

2.780

2.780

2.147

2.147

2.147

1

Theorem 3.1 (N = 4)

3.419

3.419

3.419

3.165

3.165

3.165