Theory and Modern Applications
Table 4 Computed r ’s of Example 2 for different values of τ with \(\pmb{\mu=0}\)
From: Improved results on reachable set bounding for linear systems with discrete and distributed delays
Ï„ | 0.1 | 0.3 | 0.5 | 0.7 | 0.9 |
|---|---|---|---|---|---|
[3] | \(\sqrt{0.83}\) | \(\sqrt{1.28}\) | \(\sqrt{1.94}\) | \(\sqrt {2.90}\) | \(\sqrt{4.46}\) |
[8] | \(\sqrt{0.74}\) | \(\sqrt{0.92}\) | \(\sqrt{1.36}\) | \(\sqrt {2.30}\) | \(\sqrt{3.51}\) |
[4] | \(\sqrt{0.68}\) | \(\sqrt{0.80}\) | \(\sqrt{0.97}\) | \(\sqrt {1.64}\) | \(\sqrt{3.22}\) |
[6] | \(\sqrt{0.66}\) | \(\sqrt{0.75}\) | \(\sqrt{0.94}\) | \(\sqrt {1.61}\) | \(\sqrt{3.14}\) |
[7] | \(\sqrt{0.66}\) | \(\sqrt{0.75}\) | \(\sqrt{0.94}\) | \(\sqrt {1.61}\) | \(\sqrt{3.14}\) |
[1] | \(\sqrt{0.66}\) | \(\sqrt{0.75}\) | \(\sqrt{0.94}\) | \(\sqrt {1.61}\) | \(\sqrt{3.14}\) |
Corollary 3.1 | \(\sqrt{0.41}\) | \(\sqrt{0.71}\) | \(\sqrt{0.92}\) | \(\sqrt {1.25}\) | \(\sqrt{2.74}\) |