State Space Representation of Differential Equations

In this video we show how to represent differential equations (either linear or non-linear) in state space form. This is useful as it allows us to combine an arbiter number of higher order differential equations into a single set of first order, coupled, matrix equations. Topics and timestamps: 0:00 – Introduction 9:10 – Nonlinear state space example 31:33 – Linear state space example 47:13 – ODE to state space Lecture notes and code can be downloaded from https://github.com/clum/YouTube/tree/... All Control Theory videos in a single playlist (   • Control Theory  ) #Control #ControlTheory All Ordinary Differential Equation videos in a single playlist (   • Ordinary Differential Equations  ) #ODEs #OrdinaryDifferentialEquations You can support this channel via Patreon at   / christopherwlum   or by clicking on the ‘Thanks’ button underneath the video. Thank you for your help!