Introduction to Linear Dynamical Systems

Overview

Contents:
Overview Of Linear Dynamical Systems - Linear Functions - Linearization - Nullspace Of A Matrix - Orthonormal Set Of Vectors - Least-Squares - Least-Squares Polynomial Fitting - Multi-Objective Least-Squares - Least-Norm Solution - Examples Of Autonomous Linear Dynamical Systems - Solution via Laplace Transform And Matrix Exponential - Time Transfer Property - Markov Chain (Example) - Jordan Canonical Form - DC Or Static Gain Matrix - RC Circuit (Example) - Gain Of A Matrix In A Direction - Sensitivity Of Linear Equations To Data Error - Reachability, Controllable System - Continuous - Time Reachability