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Table 1 Finite time stable results of ( 23 ) by Theorems 3.1 - 3.3

From: Stability of delay differential equations via delayed matrix sine and cosine of polynomial degrees

Theorem T Ω \(\boldsymbol{\|\Omega^{-1}\|}\) δ x ( t ) ϵ τ Finite time stability
3.1 1 3 0.75 0.31 ≤18.8158 18.82 0.5 Yes
3.2 1 3 0.75 0.31 ≤7.0106 7.02 (optimal) 0.5 Yes
3.3 1 3 0.75 0.31 ≤7.7167 7.72 0.5 Yes