Search for dissertations about: "piecewise smooth systems"

Showing result 1 - 5 of 9 swedish dissertations containing the words piecewise smooth systems.

  2. 1. Piecewise Linear Control Systems

    Author : Mikael Johansson; Institutionen för reglerteknik; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Piecewise quadratic functions; Linear matrix inequalities; Convex optimization; Optimal control; Performance analysis; Piecewise linear Lyapunov functions; Piecewise quadratic Lyapunov functions; Quadratic stability; Lyapunov stability; Piecewise linear systems; Nonlinear systems; Fuzzy systems; Hybrid systems.; Automation; robotics; control engineering; Automatiska system; robotteknik; reglerteknik;

    Abstract : This thesis treats analysis and design of piecewise linear control systems. Piecewise linear systems capture many of the most common nonlinearities in engineering systems, and they can also be used for approximation of other nonlinear systems. READ MORE

  4. 2. Some Extensions of Poincaré-Bendixson Theory Applied to a Resonant Converter

    Author : Jan Melin; Matematik LTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Datalogi; numerisk analys; system; kontroll; numerical analysis; systems; control; Naturvetenskap; Computer science; Natural science; Poincaré-Bendixson Theory; Limit Cycles; Resonant Converter; Distributions; Piecewise Linear Systems;

    Abstract : In this thesis existence and uniqueness of limit cycles are shown for a resonant converter, by extending Poincaré-Bendixson theory to non-smooth vector fields. We discuss relevant control theory and the role of simulations... READ MORE

  5. 3. Dynamics of Smooth Hyperbolic Systems with Singularities

    Author : Tomas Persson; Dynamiska system; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics; Dimension Theory; Hyperbolic Dynamics; Subshift; SRB-measure;

    Abstract : This thesis is about dynamics of piecewise hyperbolic maps on bounded sets in the plane and on the interval. It is based on the following papers: T. Persson, A piecewise hyperbolic map with absolutely continuous invariant measure, Dynamical Systems: An International Journal, 21:3 (2006), 363--378 T. READ MORE

  6. 4. On the stability and control of piecewise-smooth dynamical systems with impacts and friction

    Author : Fredrik Svahn; Annika Stensson Trigell; Harry Dankowicz; Jenny Jerrelind; Lawrie Virgin; KTH; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; non-smooth dynamics; nonlinear control; low-velocity impacts; friction; bifurcations; Solid mechanics; Fastkroppsmekanik;

    Abstract : This thesis concerns the analysis of dynamical systems suitable to be modelled by piecewise-smooth differential equations. In such systems the continuous-in-time dynamics is interrupted by discrete-in-time jumps in the state or governing equations of motion. READ MORE

  7. 5. Singular Integral Equations: Applications to Elasticity and Numerical Solution

    Author : Jonas Englund; Matematik LTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Datalogi; numerisk analys; system; kontroll; fracture mechanics; second kind integral equation; Nyström scheme; Computer science; control; systems; numerical analysis;

    Abstract : The purpose of this thesis is to develop stable, accurate, and efficient numerical algorithms for the solution of certain problems in materials science using integral equations. All the appearing integral equations are of the second kind. Such equations are typically well suited for numerical solution. READ MORE