Improved Results on Robust Stability for Systems with Interval Time-Varying Delays and Nonlinear Perturbations

Table 1

Admissible upper bounds ℎ₂ for various 𝜇 and ℎ_𝑚=0,0.5,1.

ℎ𝑚	𝛼, 𝛽	𝛼=0, 𝛽=0.1			𝛼=0.1, 𝛽=0.1
	𝜇	0.5	0.9	1.1	0.5	0.9	1.1
0	[21]	1.442	1.280	1.280	1.284	1.209	1.209
	[22]	1.443	1.408	1.408	1.287	1.279	1.279
	Theorem 4 (𝑁=2)	1.6299	1.4938	1.4938	1.4743	1.3943	1.3943
	Theorem 4 (𝑁=3)	1.6866	1.6866	1.6866	1.5304	1.5304	1.5304
0.5	[21]	1.442	1.338	1.338	1.284	1.245	1.245
	[22]	1.558	1.558	1.558	1.384	1.384	1.384
	Theorem 4 (𝑁=2)	1.6618	1.6618	1.6618	1.5272	1.5272	1.5272
	Theorem 4 (𝑁=3)	1.8599	1.8599	1.8599	1.6622	1.6622	1.6622
1	[21]	1.543	1.543	1.543	1.408	1.408	1.408
	[22]	1.760	1.760	1.760	1.532	1.532	1.532
	Theorem 4 (𝑁=2)	1.8824	1.8824	1.8824	1.7059	1.7059	1.7059
	Theorem 4 (𝑁=3)	2.0650	2.0650	2.0650	1.8188	1.8188	1.8188