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 | \(\sqrt{4.0411}\) | \(\sqrt{4.0928}\) | \(\sqrt{4.2011}\) | \(\sqrt{4.4049}\) | \(\sqrt{4.5205}\) | \(\sqrt{5.1675}\) |