This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Simon Fraser University School of Engineering Science ENSC 483  Modern Control Systems Spring 2007Assignment 4 1. Find the modal matrix and the Jordan Canonical Form of the following matrices: A =  1 1 1 1 3 0 1 0 0 2 1 2 1 1 6 0 2 1 2 1 3 0 1 0 0 1 0 1 1 1 2 4 1 B =  1 2 3 2 3 2 3 2 4 1 2 1 1 4 1 1 5 7 1 2 4 1 2 7 1 1 1 1 1 3 4 1 3 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 4 5 2 3 1 2 5 2 Hint: A has all of its eigenvalues located at = 1, whereas eigenvalues of B are all at = 1. 2. Let z be an arbitrary n dimensional vector such that P [ z Az A n 1 z ] is nonsingular. Use the CayleyHamilton Theorem to show that the solution of the linear equation problem Px = A n z is x = [...
View
Full
Document
 Spring '07
 MehrdadSaif

Click to edit the document details