Research Article

Stability Analysis of Linear Discrete-Time Systems with Interval Delay: A Delay-Partitioning Approach

Table 1

Comparison of the number of decision variables involved in various methods.

MethodsNumber of the decision variables

Theorem 1 in [22] ( 2 3 𝑛 2 + 5 𝑛 ) / 2
Theorem 3 in [22] ( 6 7 𝑛 2 + 9 𝑛 ) / 2
Theorem 1 in [31] 9 𝑛 2 + 3 𝑛
Theorem 1 in [23] 1 3 𝑛 2 + 5 𝑛
Proposition 1 in [26] 8 𝑛 2 + 3 𝑛
Theorem 2 in [37] ( 𝑛 / 2 ) [ 𝑛 ( 3 𝑚 2 + 1 8 𝑚 + 4 1 ) + ( 3 𝑚 + 1 1 ) ]
Theorem 3.1 ( 𝑛 / 2 ) [ 𝑛 ( 𝑚 2 + 4 𝑚 + 1 9 ) + ( 𝑚 + 5 ) ]