Essays about: "Filip Nygren"

Found 2 essays containing the words Filip Nygren.

  1. 1. On Simplicity of the Projective Special Linear Groups

    University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Author : Filip Nygren; [2018]
    Keywords : group theory; PSL; simple; simplicity; groups; simple groups; Mathematics and Statistics;

    Abstract : In this thesis, we will be proving that the Projective special linear group PSL(m,K) is a simple group for all dimensions m and finite fields K, with a few exceptions. First, we prove simplicity of PSL(2,K) (Jordan-Moore), and then move on to proving simplicity of PSL(m,K) (Jordan-Dickson) for all dimensions m >= 3. READ MORE

  3. 2. Controller Analysis with Inverted Pendulum

    University essay from KTH/Maskinkonstruktion (Inst.)

    Author : Filip Stenbeck; Aron Nygren; [2015]
    Keywords : ;

    Abstract : The aim of this thesis is to examine if feedback of the angle from an inverted pendulum is sufficient to control its angle at an unstable equilibrium with statics and force impulses, and through different approaches and choice of controller find the most suitable one for these types of applications. The controllers that were tested was, the PID regulator and the state space regulator. READ MORE