Abstract: We study the conditions for the unique response in a class of nonlinear control systems subject to random inputs using statistical linearization approximation. As in the case of sinusoidal ...

Carleman linearization is a powerful technique for converting nonlinear dynamical systems into equivalent linear systems of higher dimension. This package provides tools to: Construct Carleman ...

Abstract: In the input-output feedback linearization design, the time derivatives of the output function have to be taken successively for the presence of the control signal. Uncertainties in the ...

Accurately modeling nonlinear dynamical systems using observable data remains a significant challenge across various fields such as fluid dynamics, climate science, and mechanical engineering.

ABSTRACT: This paper is, in fact, a proposal of a polynomial approach to the nonlinear systems control by using the concept of linearization by state feedback. In this context, a discretization method ...

This paper offers a qualitative theoretical analysis of the error that may arise when a linear programming calculation is used to solve a problem involving some ...

Considering the characteristics of spatial straightness error, this paper puts forward a kind of evaluation method of spatial straightness error using Geometric ...