Sentence examples for nonlinearity exists from inspiring English sources

Nonlinearity exists either in displacement or in velocity for these nonlinear oscillators.

Since nonlinearity exists in the objective function, it is difficult in defining the bounds for cost coefficients and decision variables corresponding to f – and f +.

When both uncertainty and nonlinearity exist within an INP framework, mathematically proved algorithms, which convert the nonlinear forms to a corresponding linear one, need to be developed,.

Although the control input and nonlinearity exist both in the drift and diffusion terms of the system, which makes it complicated to prove the contraction property of the operator, some inequality techniques are deliberately adopted as demonstrated in the proof of Lemma 3.6, which can effectively overcome the difficulty.

The stabilizing functions compensate for nonlinearities exists in the system which affect the stability of its operation.

If in the differential equation, some small nonlinearities exist, they are introduced in the differential equation of motion as small nonlinear terms, and so the motion of the system is described by a second-order strongly nonlinear differential equation in the form of y ′′ ( t ) + y ( t ) + ε f ( y ( t ), y ′ ( t ) ) = 0, y ( 0 ) = 1, y ′ ( 0 ) = 0, Open image in new window (1.1).

In general, uncertainties and nonlinearities exist in the city's MSW management activities, which can affect the optimization processes and the decision schemes generated.

However, the robust programming method may become inapplicable when uncertainties and nonlinearities exist in the objective function; besides, it has difficulties in dealing with uncertainties that cannot be presented as membership functions.

On the other hand, the question, if another model with a decreasing nonlinearity g exists, where solutions cross each other and are not ordered after c, remains open.

This paper consider the adaptive robust control of a class of single-input-single-output (SISO) nonlinear systems in semi-strict feedback form, where nonlinearities can exist in the input channel of each subsystem.

In Section 1 (i.e., the introduction of this paper), we observed that there exists nonlinearity ((f_{1},f_{2})^{top}in mathfrak{L}_{mathbb{R}^{2}}) such that the system (1.4) is not rapidly exact-controllable.