Abstract: Nowadays the feedback linearization and backstepping techniques are introduced as methods for linearization of a system with coordinate transformation and nonlinear designing, respectively.

We develop a method for constructing exact cosmological solutions of the Einstein equations based on representing them as a second-order linear differential equation. In particular, the method allows ...

Abstract: Security-constrained unit commitment (SCUC) is one of the most fundamental optimization problems in power systems. The objective of SCUC is to minimize the operating cost while respecting ...

Exploring Chebyshev Spectral Method with Quantum Annealing via Carleman Linearization This repository contains the supplementary material for the manuscript entitled "Exploring Chebyshev Spectral ...

Piecewise linearization is a mathematical technique used to approximate a nonlinear function with a piecewise linear function. This method is commonly used in numerical analysis and optimization to ...

In this paper, we propose a method for finding the best piecewise linearization of nonlinear functions. For this aim, we try to obtain the best approximation of a nonlinear function as a piecewise ...

This article presents a novel approach for solving the general Lane–Emden type equation with the quantum spectral method. This equation is a nonlinear initial value problem. We use a successive ...

1 Shaanxi Key Laboratory of Smart Grid, School of Electrical Engineering, Xi’an Jiaotong University, Xi’an, China 2 Economic and Technological Research Institute State Grid Shanxi Electric Power ...

Linearization methods have been used in the numerical analysis of finite element solutions to nonlinear partial differential equations (PDEs) for quite a long time. Frequently, essential properties ...

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