Sentence examples for corresponding to the nonlinear from inspiring English sources

PID parameters are adequately adjusted corresponding to the nonlinear properties.

The solution (NCE) is denoted by corresponding to the nonlinear term and the control.

Moreover, the curves corresponding to the nonlinear free vibration are provided.

Let x ( T ; f, u ) be a state value of system (4.1) at time T corresponding to the nonlinear term f and the control u.

As mentioned in Sect. 2 the optimal value of ( h ) is determined by the minimum of ( Delta_{4} ), corresponding to the nonlinear algebraic equation ( frac{{dDelta_{4} }}{dh} = 0 ).

As an example, it is shown that the flow on L12 × L02 corresponding to the nonlinear Klein-Gordon field over a two dimensional static space time N=Ω × R leaves the Gaussian measure defined on this space w.r.t. the norm on Ls + 12 × Ls2 (where 12 < s < 1) quasi-invariant.

For small ε, corresponding to the weakly nonlinear regime, stable modes may be adiabatically eliminated and amplitude equations may be derived (Ghoniem and Walgraef 2008).

In this paper, which mainly deals with experimental results, it is shown that several regimes exist under sinusoidal forcing, corresponding to the different nonlinear normal modes of the system.

It presents four well distinct peaks, each corresponding to the four nonlinear waves generated by the Riemann problem and corresponding to the edges of the rarefaction wave, where the solution is continuous but non-smooth, of the contact discontinuity and of the shock.

Let be a state value of the system (SCE) at time corresponding to the function, the nonlinear term, and the control.

Some frequency response analyses for a linear system corresponding to the time-domain nonlinear simulations are also performed by using the frequency-domain boundary element method.