A Delay Decomposition Approach to the Stability Analysis of Singular Systems with Interval Time-Varying Delay

Table 3

Allowable upper bound 𝑑₂ with given 𝑑₁ for different 𝜇.

𝑑1	Methods	𝜇=0.3	𝜇=0.5	𝜇=0.9
2	Zhang et al. [8]	2.81	2.61	2.61
	Sun et al. [12]	3.01	2.56	2.56
	Qian and Liu [15]	3.02	2.69	2.69
	Corollary 14 (𝑁=2)	3.18	2.75	2.75
	Corollary 14 (𝑁=3)	3.21	2.77	2.77
3	Zhang et al. [8]	3.31	3.31	3.31
	Sun et al. [12]	3.34	3.34	3.34
	Qian and Liu [15]	3.41	3.41	3.41
	Corollary 14 (𝑁=2)	3.46	3.46	3.46
	Corollary 14 (𝑁=3)	3.48	3.48	3.48
4	Zhang et al. [8]	4.09	4.09	4.09
	Sun et al. [12]	4.16	4.16	4.16
	Qian and Liu [15]	4.20	4.20	4.20
	Corollary 14 (𝑁=2)	4.25	4.25	4.25
	Corollary 14 (𝑁=3)	4.28	4.28	4.28
5	Zhang et al. [8]	—	—	—
	Sun et al. [12]	5.02	5.02	5.02
	Qian and Liu [15]	5.03	5.03	5.03
	Corollary 14 (𝑁=2)	5.09	5.09	5.09
	Corollary 14 (𝑁=3)	5.12	5.12	5.12