Essays about: "Lyapunov function"

Showing result 1 - 5 of 12 essays containing the words Lyapunov function.

  1. 1. Application of PSS to Improve the Stability of a Power System With a High Penetration of Renewable Energy

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : Sixten Norelius; Ylva Persson; [2023]
    Keywords : ;

    Abstract : Unlike traditional power generation composed of synchronous generators, renewable energy in theform of solar and wind power does not add inertia to power systems. Therefore, as increasedproportions of renewable energy are added, the dynamics of the power system will be affected. READ MORE

  3. 2. Embedded eigenvalues for asymptotically periodic ODE Systems

    University essay from Lunds universitet/Matematik LTH

    Author : Wilhelm Treschow; [2022]
    Keywords : embedded eigenvalue perturbation theory ODE theory; Mathematics and Statistics;

    Abstract : In this thesis we investigate the persistance of embedded eigenvalues under perturbations of a certain self-adjoint Schrödinger-type differential operator in L^2(\mathbb{R},\mathbb{R}^n), with an asymptotically periodic potential. The studied perturbations are small and belong to a certain Banach space with a specified decay rate, in particular, a weighted space of continuous matrix valued functions. READ MORE

  4. 3. Relative Orbit Propagation and Control for Satellite Formation Flying using Continuous Low-thrust

    University essay from Luleå tekniska universitet/Institutionen för system- och rymdteknik

    Author : Eric Reinthal; [2017]
    Keywords : formation flying; low-thrust; orbit propagation; control; continuous thrust; NetSat; electric propulsion;

    Abstract : For the upcoming formation flying technology demonstration mission NetSat a relative orbit propagator as well as a relative orbit controller were developed. The formation will consist of four equal nano-satellites with an electric propulsion system for orbit correction manoeuvres. READ MORE

  5. 4. An Multivariable Approach for the Chemostat Model

    University essay from Linnéuniversitetet/Institutionen för matematik (MA)

    Author : Sebastian Thörngren; [2016]
    Keywords : ;

    Abstract : We use a multivariable approach to study the Chemostat model for a food chain. Using a Lyapunov function we reduce the system to a two-dimensional system.We then find isoclines and equilibrium points using a change of variables and the implicit function theorem. READ MORE

  6. 5. The Anatomy of the Chua circuit

    University essay from Lunds universitet/Fysiska institutionen

    Author : Jakob Lavröd; [2014]
    Keywords : Chaos; Chua circuit; Lyapunov exponent; Validation; Physics and Astronomy;

    Abstract : The Chua circuit, known to exhibit chaotic behaviour, has been constructed and studied. The goal was to investigate the experimental underpinning of the theory. The component relationship of the resistors, capacitors, inductors and operational amplifiers have been measured and established within their domain of validity. READ MORE