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Table 2 Maximum allowable upper bounds \(h_{1\text{M}}\) and an upper bound on the cost function \(J^{*}\) when \(\alpha=0.2\)

From: Guaranteed cost control for exponential stability of a nonlinear system with mixed time-varying delays in states and controls

\(h_{1 \text{m}}\) \(h_{1 \text{M}}\) \(J^{*}\)
[17] Corollary 3.2 [17] Corollary 3.2 [17] Corollary 3.2
0 0 0.0287 0.0657 289.10 3.6484
0.0100 0.0100 0.0247 0.1155 4.0100 3.6542
0.0200 0.0200 0.0205 0.1211 3.6900 3.6654
0.0204 0.0204 0.0248 0.1213 3.6900 3.6656
0.0245 0.0245 0.0248 0.1236 3.6900 3.6701
0.0246 0.0246 0.0248 0.1236 3.6900 3.6703
0.0247 0.0247 0.0248 0.1237 3.6900 3.6703
0.0248 0.0248 0.0248 0.1237 3.6900 3.6706
infeasible 0.0500 infeasible 0.1369 infeasible 3.7045
infeasible 0.1000 infeasible 0.1595 infeasible 3.7792
infeasible 0.1500 infeasible 0.1781 infeasible 3.8607
infeasible 0.1700 infeasible 0.1847 infeasible 3.8959
infeasible 0.1912 infeasible 0.1912 infeasible 3.9335