Transfer Functions in Python Modeling the real world is hard. Physics often gives us differential equations, which are not so easy to solve, so what do we do? One option is to use a transfer function, ...

Technical Terms Differential-Algebraic Equation (DAE): An equation that combines differential and algebraic components to model systems with inherent constraints.

The Finite Difference Method (FDM) numerically solves differential equations by approximating derivatives with finite differences. In this project, it discretizes the spatial and temporal domains into ...

This paper presents a control barrier function (CBF) for systems described by differential-algebraic equations and applies the method to guarantee the safety of a two-link flexible-link manipulator.

In this paper we investigate the behavior of numerical ODE methods for the solution of systems of differential equations coupled with algebraic constraints. Systems of this form arise frequently in ...

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 ...

In this paper we consider the numerical solution of initial-value delay-differential-algebraic equations (DDAEs) of retarded and neutral types, with a structure corresponding to that of Hessenberg ...