Sentence examples for allowable upper bound from inspiring English sources

Under different levels of the upper bound μ 2 and λ, Table 1 and Table 2 list the results of the maximum allowable upper bound, the decay rate λ for different time delays and maximum values of μ 2 derived from various methods including the one proposed in this paper, respectively.

And by utilizing LMI tools in MATLAB, variable step method is introduced to get the maximum allowable upper bound of the robust time lag in the optimal control system.

Table 1 shows the relationship between the parameter k and the allowable upper bound (h_{mathrm{max}}) of time delay.

In this paper, a new delay-partitioning approach is investigated to make more accurate evaluation for the allowable upper bound of interval time-varying delay.

Remark 4.1 Example 4.1 illustrates the effectiveness and less conservatism due to the allowable upper bound of time-delay ( τ = 126.8 ).

For, the maximum allowable upper bound of the delay is which is larger than derived in Jiang and Han in [17].

Then, the asymptotic stability condition for the obtained closed-loop NCS is derived, which establishes the quantitative relation between the stability of the closed-loop NCS and two delay parameters, namely, the allowable delay upper bound (ADB) and the allowable delay variation range (ADVR).

Based on this more general nonlinear NCSs model, by choosing appropriate Lyapunov functional and employing new discrete Jensen type inequality, a sufficient condition is derived to establish the quantitative relation of maximum allowable delay upper bound, packet dropout rate and the nonlinear level to the exponential stability of the nonlinear NCSs.

Moreover, the comparisons for maximum allowable upper bounds of discrete time-varying delays have been listed.

Table 1 describes maximum allowable upper bounds of delays that guarantee the exponential stability of system (1).

Figure 1 The lower bound and upper bound.