Sentence examples for by using the convex from inspiring English sources

Under suitable assumptions, a state feedback control law with state-dependent switching is designed by using the convex combination method and the adding a power integrator technique.

By using the convex model approach, the bounds of the uncertain parameters are only required rather than their precise probability distributions, based on which it can be made possible to conduct the reliability analysis for many complex engineering problems with limited information.

By using the convex separation theorem, there exists such that, for all and, for all.

Further improved results were obtained in [34, 35, 37] by using the convex combination approach.

In 1970, Takahashi [1] introduced the concept of convex metric spaces by using the convex structure as follows.

However, this beamformer estimates the steering vector by using the convex optimization software, which has a high computational cost.

Firstly, by using the reciprocally convex method and a novel fuzzy Lyapunov functional, the proposed basis-dependent condition is utilized to guarantee that the filtering error system is mean-square asymptotically stable with a pre-specified H∞ performance.

More recently, the authors in [34] investigated an (H_{infty}) estimation for static delayed neural networks by using the reciprocally convex approach, zero equality, and linear matrix inequality.

Therefore, the optimal Lagrange multipliers of μ ∗ and λ ∗, in which maximize d, can be obtained by using the standard convex optimization techniques [23].

By using the β-convex-power condensing operator developed by Sun et al.[29], we do not impose any restrictions on the coefficient L. This generalized condensing operator also can be seen in Liu et al.[30], where nonlinear Volterra integral equations are discussed.

Note that although the linear relationship in (1) seems to be oversimplified, it is not difficult to extend to the non-linear feasible set as long as the set is strictly convex by using the separation theorem of convex sets (see Figure 1).