Partitioning Technique for Relaxed Stability Criteria of Discrete-Time Systems with Interval Time-Varying Delay

Table 1

Maximum allowable upper bound 𝜏_𝑀 for various 𝜏_𝑚.

(a)

Methods		𝜏𝑚=6	𝜏𝑚=7	𝜏𝑚=10	𝜏𝑚=15
Shao and Han [14] Proposition 2	𝜏𝑀	16	16	18	21
Shao and Han [14] Proposition 1	𝜏𝑀	18	18	20	23
Theorem 1	𝜏𝑀	22	23	24	27

(b)

Methods		𝜏𝑚=20	𝜏𝑚=25	𝜏𝑚=30
Shao and Han [14] Proposition 2	𝜏𝑀	25	30	34
Shao and Han [14] Proposition 1	𝜏𝑀	27	31	35
Theorem 1	𝜏𝑀	31	35	38