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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