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Table 2 Computed r ’s of Example 1 for different values of τ with \(\pmb{\sigma=0.1}\) , \(\pmb{\mu=0.5}\)

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

τ 0.1 0.3 0.5 0.7 0.9
[1] \(\sqrt{9.3269}\) \(\sqrt{9.5769}\) \(\sqrt{9.8531}\) \(\sqrt{10.1593}\) \(\sqrt{10.5000}\)
[2] \(\sqrt{5.5456}\) \(\sqrt{5.7058}\) \(\sqrt{5.9109}\) \(\sqrt {6.1423}\) \(\sqrt{6.4505}\)
Theorem 3.1 \(\sqrt{3.0762}\) \(\sqrt{3.9978}\) \(\sqrt{4.1181}\) \(\sqrt{4.4765}\) \(\sqrt{5.0025}\)