3 Linear DAEs with Constant Coefficients

Basic Definitions and Notions

  • variable transforms and scalings do not affect solvability
  • DAEs <-> (E, A) matrix pairs
  • canonical forms – Kronecker canonical form – canonical form of a linear DAE with constant coefficients
  • Regularity and Solvability
  • Weierstrass canonical form

Lecture 3.1

Lecture 3.2

Existence and Representation of Solutions

Lecture 3.3

📒 Exercise 1

Lecture 3.4

A variation of parameters formula for linear DAEs with constant coefficients.