Theory and Modern Applications
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 | \(\sqrt{2.2624}\) | \(2\sqrt{.9329}\) | \(\sqrt{3.0799}\) | \(\sqrt{3.2658}\) | \(\sqrt{3.3009}\) |