Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

A comprehensive C++ library for solving Ordinary Differential Equations (ODEs) and Partial Differential Equations (PDEs) with Python bindings. This project implements ...

Differential-algebraic equations (DAEs) serve as a critical framework in mathematical modelling by integrating both differential and algebraic components to represent systems with inherent constraints ...

Abstract: In this paper a sliding mode observer is proposed to detect and reconstruct load alteration failures in a power network. The power network, specifically a 9-bus IEEE benchmark model, is ...

Abstract: With the increasing share of renewable energy, conventional synchronous generators are being replaced, which threatens the frequency security of power systems and requires a more careful ...

In this paper, we use partial differential equations to deal with constraint optimal control problems. We construct extremal flows by differential-algebraic equation to approximate the optimal ...