Sentence examples for bound of time from inspiring English sources

In addition, for leader election problem, many existing papers considered the lower bound of time complexity and message complexity in the static synchronous networks.

A new method is provided by introducing some free-weighting matrices and employing the lower bound of time-varying delay.

In the above mentioned results [28 33], the lower bound of time-varying delay was always assumed to be 0.

The limitation on the derivative of time delay being less than one is relaxed and the lower bound of time-varying delay is not restricted to be zero.

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

It should be pointed out that the delay decomposition method is not effective when the lower bound of time-varying delay is zero.

At this time, by Theorem 2, the maximum bound of time-delay is 18. Figure 5 State trajectories and the curve of the operation modes (Example 2).

But, by virtue of Theorem 1 in [18], the maximin allowable bound of time-varying delay σ ( t ) for asymptotic stability of this equation is 5.000 × 10 24.

A sufficient condition of α-exponential stability for autonomous positive fuzzy systems is first established by constructing a new Lyapunov Krasovskii functional, which depends on a given scalar 0<α<1 and the bound of time-varying delays.

The result of the maximum bound of time-delay with fixed c = 0.5, l = 10, ρ 0 = 0.7, h m = 1 and G in Case 1 provided by Theorem 1 is 5.

Next, the result of maximum bound of time-delay with fixed c = 1, ρ 0 = 0.2, h m = 5, and G in Case 2 by Theorem 1 is 7.