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

Table 3

Comparison of upper bound 𝛼 for given ℎ₁ and ℎ₂.

Methods	2≤𝑑(𝑘)≤7	3≤𝑑(𝑘)≤9	5≤𝑑(𝑘)≤10	6≤𝑑(𝑘)≤12	10≤𝑑(𝑘)≤15	20≤𝑑(𝑘)≤26
Theorem 5 in [20]	0.0830	Infeasible	Infeasible	Infeasible	Infeasible	Infeasible
Corollary 2 in [19]	0.1901	0.1457	0.1313	0.0906	0.0655	Infeasible
Theorem 4 in [7]	0.1920	0.1548	0.1425	0.1146	0.1023	Infeasible
Theorem 9	0.1927; (𝑚=2,𝜏=1)	0.1560; (𝑚=3,𝜏=1)	0.1476; (𝑚=5,𝜏=1)	0.1194; (𝑚=2,𝜏=3)	0.1080; (𝑚=2,𝜏=5)	0.0834; (𝑚=2,𝜏=10); 0.0837; (𝑚=5,𝜏=4)