Research Article

Convex Polyhedron Method to Stability of Continuous Systems with Two Additive Time-Varying Delay Components

Table 1

Calculated delay bounds for different cases.

Stability conditions Delay bound 𝑑 2 for given 𝑑 1 Delay bound 𝑑 1 for given 𝑑 2
𝑑 1 = 1 𝑑 1 = 1 . 2 𝑑 1 = 1 . 5 𝑑 2 = 0 . 3 𝑑 2 = 0 . 4 𝑑 2 = 0 . 5

[6, 12, 14]0.180 0.080Infeasible0.8800.780 0.680
[15]0.4150.3760.2481.3241.0390.806
[16]0.512 0.406 0.283 1.453 1.214 1.021
Theorem 2.10.873 0.673 0.3731.573 1.473 1.373