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Theory and Modern Applications

Table 1 Maximum allowable upper bound \(h_{1 \text{M}}\) and an upper bound on the cost function \(J^{*}\) when \(\alpha=0.2\) for Example 4.1

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

\(h_{1 \text{m}}\)

\(\max h_{1 \text{M}}\)

\(J^{*}\)

0

0.0808

0.3377

0.0100

0.1341

0.3254

0.1300

0.2106

0.3842

0.2100

0.2483

0.4221

0.2400

0.2606

0.4365

0.2600

0.2684

0.4461

0.2700

0.2722

0.4506

0.2720

0.2730

0.4516

0.2730

0.2734

0.4519

0.2731

0.2734

0.4523

0.2732

0.2734

0.4522

0.2733

0.2735

0.4520

0.2734

0.2735

0.4523

0.2736

0.2736

0.4522