Abstract: Linearization is a powerful tool that enables the analysis and control of nonlinear systems by simplifying their dynamics and allowing the use of well-established linear control techniques.

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 ...

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

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 ...

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

ABSTRACT: In this paper, a real-time online data-driven adaptive method is developed to deal with uncertainties such as high nonlinearity, strong coupling, parameter perturbation and external ...