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

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 ...

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

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 ...

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 ...

Controller design based on feedback linearization method and its implementation on quadcopter model. This was used alongside other controllers to gain results published in this paper.

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

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 ...

ABSTRACT: Balas and Mazzola linearization (BML) is widely used in devising cutting plane algorithms for quadratic 0-1 programs. In this article, we improve BML by first strengthening the primal ...

The problem with efficiently linearizing large language models (LLMs) is multifaceted. The quadratic attention mechanism in traditional Transformer-based LLMs, while powerful, is computationally ...