Delay-Partitioning Approach to Stability of Linear Discrete-Time Systems with Interval-Like Time-Varying Delay

Table 2

Comparison of the maximum values of ℎ₂ for given ℎ₁.

Methods	ℎ1=4	ℎ1=6	ℎ1=10	ℎ1=12	ℎ1=20
Theorem 1 in [20]	8	9	12	13	20
Theorem 1 in [19]	13	14	15	16	22
Proposition 2 in [6]	15	16	18	19	25
Theorem 1 in [7]	15	16	18	19	25
Theorem 1	15 (𝑚=1,𝜏=4)	16 (𝑚=1,𝜏=6)	18 (𝑚=1,𝜏=10)	19 (𝑚=1,𝜏=12)	25 (𝑚=1,𝜏=20)
	15 (𝑚=2,𝜏=2)	16 (𝑚=2,𝜏=3)	18 (𝑚=2,𝜏=5)	20 (𝑚=2,𝜏=6)	26 (𝑚=2,𝜏=10)