The methodology used is based on the Fisher information matrix, developed using a linearisation of the model.
We comment that while these boundary conditions can be thought of as artificial, the approach is justifiable since the linearisation of the governing differential equations is performed using values for A and its derivative at x = 1, and therefore one should expect that the approximate solution will be most accurate at this point.
In addition, we study Brownian motion and thermophoresis effects using a spectral linearisation method to obtain numerical solutions of the momentum, energy, concentration and mass fraction equations.
The governing partial differential equations are transformed to a system of ordinary differential equations and solved numerically using a spectral linearisation method.
Observability is considered using large-scale networked clocks, a linearisation of networked oscillators, through the structure of the observability matrix using Vandermonde matrices.
The results of this study suggest that the procedure based on inelastic design spectra, in general, provides a better design solution than using an elastic linearisation method, especially when structures are designed with a higher ductility demand.
Two methods are considered, one is approximate model predictive control (AMPC) using the instantaneous linearisation of a nonlinear model incorporating the generalised predictive control and the other is the nonlinear model predictive control (NMPC).
In a flight dynamics context, the dynamic modes refer to the modes of motion obtained from a linearisation of the aircraft system about a known operating point.
From a mathematical perspective, Mauro et al. [20] have shown that a linearisation of channel kinetics (for currents such as I h ), about rest, may adequately describe the observed resonant dynamics.
The design method for H∞ controllers is given using a modified cone complementary linearisation (CCL) algorithm with a new stopping condition.
