All episodes of Linear System Response & Analysis - Roots and

Linear System Response & Analysis - Roots and Polynomials

Episodes

Roots and polynomials 9 - assessing stability and the Routh array

A key reasons for computing poles is due to the strong link with system behaviours and in particular stability. This video looks at simple, back of the envelope calculuations that can be used to determine whether the roots are all in the LHP, or not.

Published 04/09/14

Linear System Response & Analysis - Roots and Polynomials

Published 04/09/14

Roots and polynomials 10 - tutorial sheet and use of MATLAB

Gives a number of tutorial examples for students to attempt before going through the worked solutions. Questions cover factorisation and assessing whether any roots are in the RHP. Also illustrates how MATLAB can be used both to validate your own working and also to determine roots when the computations are difficult by hand.

Published 04/09/14

Roots and polynomials 8 - worked examples and inequalities

Lectures aimed at understanding what is a root, links to polynomial factors and easy methods for factorising by hand. This video contains a number of worked examples.

Published 04/09/14

Roots and polynomials 5 - higher order

Lectures aimed at understanding what is a root, links to polynomial factors and easy methods for factorising by hand. This video is an introduction which focuses on high order polynomials.

Published 04/09/14

Roots and polynomials 6 - factorising high order polynomials

Lectures aimed at understanding what is a root, links to polynomial factors and easy methods for factorising by hand. This video focuses on numerical examples of how to factorise a polynomial.

Published 04/09/14

Roots and polynomials 7 - poles/zeros and transfer functions

Lectures aimed at understanding what is a root, links to polynomial factors and easy methods for factorising by hand. This video is an introduction to concepts of poles/zeros for transfer functions and the meaning of left half plane (LHP) and right half plane (RHP).

Published 04/09/14

Roots and polynomials 4 - 2nd order

Lectures aimed at understanding what is a root, links to polynomial factors and easy methods for factorising by hand. This video is an introduction which focuses on 2nd order polynomials.

Published 04/09/14

Roots and polynomials 3 - 1st order

Lectures aimed at understanding what is a root, links to polynomial factors and easy methods for factorising by hand. This video is an introduction which focuses on 1st order polynomials.

Published 04/09/14

Roots and polynomials 2 - what is a factor?

Lectures aimed at understanding what is a root, links to polynomial factors and easy methods for factorising by hand. This video is an introduction which focuses on understanding what we mean by a factor.

Published 04/09/14

Roots and polynomials 1 - roots from a plot

Published 04/09/14