Advances in Continuous and Discrete Models

Theory and Modern Applications

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

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