Global Optimal Control of Perturbed Systems

@article{Grne2007GlobalOC,
  title={Global Optimal Control of Perturbed Systems},
  author={Lars Gr{\"u}ne and Oliver Junge},
  journal={Journal of Optimization Theory and Applications},
  year={2007},
  volume={136},
  pages={411-429}
}
  • Lars Grüne, Oliver Junge
  • Published 2007
  • Mathematics
  • Journal of Optimization Theory and Applications
  • Abstract We propose a new numerical method for the computation of the optimal value function of perturbed control systems and associated globally stabilizing optimal feedback controllers. The method is based on a set-oriented discretization of the state space in combination with a new algorithm for the computation of shortest paths in weighted directed hypergraphs. Using the concept of multivalued game, we prove the convergence of the scheme as the discretization parameter goes to zero.  

    Figures from this paper.

    Citations

    Publications citing this paper.
    SHOWING 1-10 OF 45 CITATIONS

    Approximately optimal nonlinear stabilization with preservation of the Lyapunov function property

    VIEW 8 EXCERPTS
    CITES BACKGROUND & METHODS

    Global optimal control of quantized systems

    VIEW 3 EXCERPTS
    CITES BACKGROUND & METHODS

    Numerical ISS controller design via a dynamic game approach

    VIEW 3 EXCERPTS
    CITES METHODS

    Optimization Based Stabilization of Nonlinear Control Systems

    VIEW 1 EXCERPT
    CITES BACKGROUND

    Continuity of the value function for exit time optimal control problems of hybrid systems

    VIEW 1 EXCERPT
    CITES METHODS

    FILTER CITATIONS BY YEAR

    2005
    2020

    CITATION STATISTICS

    • 6 Highly Influenced Citations

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 15 REFERENCES

    A set oriented approach to optimal feedback stabilization

    VIEW 10 EXCERPTS