Search for dissertations about: "Hamilton-Jacobi"

Showing result 1 - 5 of 19 swedish dissertations containing the word Hamilton-Jacobi.

  2. 1. Pontryagin approximations for optimal design

    Author : Jesper Carlsson; Anders Szepessy; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Topology Optimization; Inverse Problems; Hamilton-Jacobi; Regularization; Error Estimates; Impedance Tomography; Numerical analysis; Numerisk analys;

    Abstract : This thesis concerns the approximation of optimally controlled partial differential equations for applications in optimal design and reconstruction. Such optimal control problems are often ill-posed and need to be regularized to obtain good approximations. READ MORE

  4. 2. Fast Adaptive Numerical Methods for High Frequency Waves and Interface Tracking

    Author : Jelena Popovic; Olof Runborg; Hongkai Zhao; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; high frequency waves; Helmholtz equation; interface tracking; time-space adaptivity; multiresolution; Hamilton-Jacobi;

    Abstract : The main focus of this thesis is on fast numerical methods, where adaptivity is an important mechanism to lowering the methods' complexity. The application of the methods are in the areas of wireless communication, antenna design, radar signature computation, noise prediction, medical ultrasonography, crystal growth, flame propagation, wave propagation, seismology, geometrical optics and image processing. READ MORE

  5. 3. Methods for Stochastic Optimal Control under State Constraints

    Author : Per Rutquist; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; NATURVETENSKAP; NATURAL SCIENCES; control theory; optimal control; stochastic systems; Hamilton-Jacobi-Bellmanequation; Fokker-Planck-Kolmogorov equation;

    Abstract : This thesis looks at a few different approaches to solving stochas-tic optimal control problems with state constraints. The motivatingproblem is optimal control of an energy buffer in a hybrid vehicle,although applications are abundant in a number of areas. READ MORE

  6. 4. Some Results On Optimal Control for Nonlinear Descriptor Systems

    Author : Johan Sjöberg; Torkel Glad; Xiaoming Hu; Linköpings universitet; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Optimal Control; Descriptor Systems; Differential-Algebraic Systems; Controllability Function; Observability Function; Automatic control; Reglerteknik;

    Abstract : I denna avhandling studeras optimal återkopplad styrning av olinjära deskriptorsystem. Ett deskriptorsystem är en matematisk beskrivning som kan innehålla både differentialekvationer och algebraiska ekvationer. READ MORE

  7. 5. Stäckel multipliers in Euclidean space

    Author : Claes Waksjö; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : In order to apply the method of separation of variables to the natural Hamilton-Jacobi equation  in Euclidean space, one has to find new curvilinear coordinates  in which the transformed equation admits a complete separated solution . For a potential V(q) given in Cartesian coordinates, the main difficulty is to decide if such a transformation x(q) exists and to effectively determine it explicitly. READ MORE