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Theory and Modern Applications

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

Ï„

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