Sentence examples for by introducing the integral from inspiring English sources

By introducing the integral controllers and free weighting matrix scheme, some restricted assumptions imposing on the switched systems are avoided.

The results confirm an improved crush performance under axial compressive loads by introducing the integral-skin foam as a filler in empty tubes.

By introducing the integral-type Lyapunov function and adopting the adaptive compensation term of the upper bound of the optimal approximation error and the dead-zone disturbance, the closed-loop control system is proved to be semi-globally stable in the sense that all signals involved are bounded, with tracking errors converging to zero.

In addition, the number of the online adaptive parameters is not more than the order of the considered system and the possible controller singularity problem is removed by introducing the modified integral Lyapunov functions.

Recently, Krulić et al. [10] unified the all above results in an abstract way by introducing the Hardy-Knopp type integral operator (A_{k}) in the measure space.

In this paper, by introducing the geometric sequence division and integral delay partitioning approaches, stability problems of the perturbed T-S fuzzy systems with mixed delays are investigated.

Secondly, the prediction model of mechanical extending limits is built by introducing the objective function, constraint conditions, operation conditions and integral mechanical results.

It is shown that the whole temperature influence can be modeled by introducing the special power function with one additional parameter, which is put under the integral.

The objective function is defined as an integral function along the boundaries, and the adjoint equations and the boundary conditions are derived by introducing the adjoint variable vectors.

We begin by introducing the replicator dynamics.

With the aid of Lemma 3.1, we introduce the integral functionals and defined on and, respectively, given by (3.11).