Linear System Response & Analysis - Roots and Polynomials

Linear System Response & Analysis - Roots and Polynomials

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These videos look at the responses primarily of 1st and 2nd order systems. There is also some discussion of the use of Laplace tools for deriving system responses and, in support of this, some background work on skills needed to do inverse Laplace. The videos are reinforced with demonstrations of ho…

The University of Sheffield


    • Apr 9, 2014 LATEST EPISODE
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    • 10 EPISODES


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    Latest episodes from Linear System Response & Analysis - Roots and Polynomials

    Roots and polynomials 9 - assessing stability and the Routh array

    Play Episode Listen Later Apr 9, 2014 15:46


    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.

    roots assessing stability array routh polynomials lhp
    Roots and polynomials 10 - tutorial sheet and use of MATLAB

    Play Episode Listen Later Apr 9, 2014 16:35


    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.

    roots tutorials sheet matlab rhp polynomials
    Roots and polynomials 8 - worked examples and inequalities

    Play Episode Listen Later Apr 9, 2014 16:33


    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.

    roots worked lectures inequalities polynomials
    Roots and polynomials 5 - higher order

    Play Episode Listen Later Apr 9, 2014 13:02


    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.

    roots lectures polynomials higher order
    Roots and polynomials 6 - factorising high order polynomials

    Play Episode Listen Later Apr 9, 2014 11:17


    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.

    roots lectures polynomials
    Roots and polynomials 7 - poles/zeros and transfer functions

    Play Episode Listen Later Apr 9, 2014 15:05


    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).

    roots functions lectures poles zeros rhp polynomials lhp
    Roots and polynomials 4 - 2nd order

    Play Episode Listen Later Apr 9, 2014 13:46


    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.

    roots lectures polynomials
    Roots and polynomials 3 - 1st order

    Play Episode Listen Later Apr 9, 2014 7:27


    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.

    roots lectures polynomials
    Roots and polynomials 2 - what is a factor?

    Play Episode Listen Later Apr 9, 2014 8:05


    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.

    roots factor lectures polynomials
    Roots and polynomials 1 - roots from a plot

    Play Episode Listen Later Apr 9, 2014 4:19


    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 root.

    roots plot lectures polynomials

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