In the present work, we propose a novel polynomial approach to approximate the Input-State feedback linearization control. The aim of this new method is to simplify the implementation complexity of the exact InputState feedback linearization. Indeed, the present approach leads to an analytical control law via analytical nonlinear transformations without need to resolve a set of partial differen...

In pharmaceutical industries, the validation of analytical methods is used to demonstrate that the method is fitted for its purpose; it must follow a plan which includes scope, performance characteristics, and acceptance limits. Analytical methods need to be validated or revalidated prior to their introduction into routine analyses (release of batch). The overarching philosophy in current good ...

A new numerical method, named the acoustical wave propagator method, is introduced to describe the dynamic characteristics of one-dimensional structures with discontinuities. The acoustical wave propagator is derived and implemented by combining Chebyshev polynomial expansion and fast Fourier transformation. Numerical accuracy of the acoustical wave propagator method is examined and compared wi...

Fuzzy Hermite interpolation of 5th degree generalizes Lagrange interpolation by fitting a polynomial to a function f that not only interpolates f at each knot but also interpolates two number of consecutive Generalized Hukuhara derivatives of f at each knot. The provided solution for the 5th degree fuzzy Hermite interpolation problem in this paper is based on cardinal basis functions linear com...

Thermo-elastic analysis of a functionally graded hollow sphere is carried out and numerical solutions of displacement, stress and thermal fields are obtained using the Polynomial differential quadrature (PDQ) method. Material properties are assumed to be graded in the radial direction according to a power law function, ho...

Analytical methods for solving eigenvalue problems involving real symmetric 3 × $$ 3\times matrices are computationally efficient compared to iterative approaches, but not numerically robust when two of the eigenvalues coalesce. Analysis associated characteristic polynomial reveals an alternative form definition discriminant in terms a sum squares which is susceptible numerical difficulties con...

The paper studies the perturbation operators on Hilbert spaces which depend on complex parameter. Linear, polynomial and analytical perturbations are considered. It is demonstrated that polynomial and analytical perturbations can be transformed to the case of linear perturbed operators in augmented space. Then, the generalization of an eecient algorithm of Schweitzer and Stewart can be applied ...

just like any other process, vaccine manufacturing procedures are defined as a series of interrelated functions and activities using a variety of specified actions and equipment designed to produce a defined product. to assure the reproducibility and consistency of such processes, they must be carried out using validated equipment and under the established procedures that meet all the acceptanc...

some preliminaries about the integrable families of riccati equations and solutions structure of these equations in several cases are presented in this paper, then by using of definitions for fractional derivative we apply the new extended of tanh method to the perturbed nonlinear fractional schrodinger equation with the kerr law nonlinearity. finally by using of this method and solutions of ri...