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Table 3 Computed r ’s of Example 1 for different values of μ with \(\pmb{\sigma=0.1}\) , \(\pmb{\tau=0.2}\)

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

μ 0.0 0.1 0.5 0.8 0.9 2
[1] \(\sqrt{8.0664}\) \(\sqrt{8.2338}\) \(\sqrt{9.4488}\) \(\sqrt {13.4135}\) \(\sqrt{21.2778}\) -
[2] \(\sqrt{5.5885}\) \(\sqrt{5.5992}\) \(\sqrt{5.6198}\) \(\sqrt {5.6198}\) \(\sqrt{5.6198}\) \(\sqrt{5.6198}\)
Theorem 3.1 \(\sqrt{4.0411}\) \(\sqrt{4.0928}\) \(\sqrt{4.2011}\) \(\sqrt{4.4049}\) \(\sqrt{4.5205}\) \(\sqrt{5.1675}\)