Sentence examples for half complex from inspiring English sources

However, it is well known that the achievable performance is limited theoretically by right half complex plane (RHP) poles, RHP zeros, time delays, etc. of the plant models, and practically by the input constraints as well as model uncertainties.

The main advantages of the developed method over the LQR design method are that the resulting multi-agent systems can achieve specified consensus rate asymptotically and the resulting protocols have the whole right half complex plane as its asymptotical consensus region.

Figure 11 shows the poles and zeros of the approximation obtained and proves that all the poles and the zeros are in left half complex plane.

This estimator can thus be used only with a stable system with all its zeros in the left half complex plane (with the inversion the zeros of the system become the poles of the estimator and conversely).

(21) and (23), replace the factors exp ( 2 i k L ) by exp ( 2 i k 0 L ) therein, and do the double integral by standard contour integral techniques enclosing the poles in the upper half complex plane (for the N = 3 case, for example, the denominator of each transmission amplitude is a cubic polynomial in k, so there are three roots).

The integration over ω can be done using a contour in the lower half complex plane so that (Z_{m}(t) = langle mathrm {e}^{-i m theta}, rho(theta| omega_, t) rangle), where we have introduced the inner product (langle u(theta), v (theta) rangle= (2 pi)^{-1}int_{0}^{2 pi }mathrm{d} thetaoverline{u(theta)} v(theta),mathrm{d}theta).

Besides the design parameters, the observer poles are also optimised within desired regions on the left-half complex plane.

It is required to find two functions for some fixed point, Re :, analytic in the left-half complex plane Re  and, analytic in the right-half complex plane Re , which satisfy on the contour Re  the relation (2.30).

We will find the function using the analytic properties of the function in the right-half complex planes Re and Re.

In particular, if this range is in the right-half complex plane, which means that the smallest H-eigenvalue is positive, then the corresponding tensor is positive definite.

Thus, by the Gers̆gorin theorem, (A/alpha-wI) has (vert J_(A/alpha ) vert ) eigenvalues with positive real part (on the open right-half complex plane).