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Table 1 Computed r ’s of Example 1 for different values of σ with \(\pmb{\tau=0.2}\) , \(\pmb{\mu=0.5}\)

From: Improved results on reachable set bounding for linear systems with discrete and distributed delays

σ 0.2 0.4 0.6 0.7 0.8
[1] \(\sqrt{10.0502}\) \(\sqrt{11.5762}\) \(\sqrt{13.7431}\) \(\sqrt{14.9492}\) \(\sqrt{16.3729}\)
[2] \(\sqrt{5.8645}\) \(\sqrt{6.4724}\) \(\sqrt{7.3010}\) \(\sqrt{7.7887}\) \(\sqrt{8.3381}\)
Theorem 3.1 \(\sqrt{2.2624}\) \(2\sqrt{.9329}\) \(\sqrt{3.0799}\) \(\sqrt{3.2658}\) \(\sqrt{3.3009}\)