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Theory and Modern Applications

Table 1 Allowable delay upper bound \(d_{2}\) for various \(d_{1}\) for Example 1

From: A new result on stability analysis for discrete system with interval time-varying delays

Method

\(d_{1}\)

2

4

6

10

15

20

25

30

[32]

\(d_{2}\)

13

13

14

15

18

22

26

30

[33]

\(d_{2}\)

13

13

14

17

20

24

29

33

[20]

\(d_{2}\)

14

15

16

18

21

25

30

34

[21]

\(d_{2}\)

17

17

18

20

23

27

31

35

[34]

\(d_{2}\)

18

18

19

20

23

26

30

35

[40]

\(d_{2}\)

20

21

21

22

24

27

29

34

[43] (Theorem 2)

\(d_{2}\)

22

22

22

23

25

28

32

36

[12] (Remark 4)

\(d_{2}\)

20

21

21

23

25

29

32

36

[12] (Theorem 1)

\(d_{2}\)

22

22

22

23

26

29

32

36

Remark 3

\(d_{2}\)

21

22

22

23

25

29

32

36

Theorem 3.1

\(d_{2}\)

22

22

22

23

26

29

32

36