Output Feedback Pole Assignment for Transfer Functions with Symmetries

@article{Helmke2005OutputFP,
  title={Output Feedback Pole Assignment for Transfer Functions with Symmetries},
  author={Uwe Helmke and Joachim Rosenthal and Xiaochang A. Wang},
  journal={SIAM J. Control and Optimization},
  year={2005},
  volume={45},
  pages={1898-1914}
}
  • Uwe Helmke, Joachim Rosenthal, Xiaochang A. Wang
  • Published in
    SIAM J. Control and…
    2005
  • Mathematics, Computer Science
  • This paper studies the problem of pole assignment for symmetric and Hamiltonian transfer functions. A necessary and sufficient condition for pole assignment by complex symmetric output feedback transformations is given. Moreover, in the case where the McMillan degree coincides with the number of parameters appearing in the symmetric feedback transformations, we derive an explicit combinatorial formula for the number of pole assigning symmetric feedback gains. The proof uses intersection theory… CONTINUE READING

    Topics from this paper.

    Citations

    Publications citing this paper.
    SHOWING 1-10 OF 12 CITATIONS

    Complex Static Skew-Symmetric Output Feedback Control

    VIEW 8 EXCERPTS
    CITES BACKGROUND
    HIGHLY INFLUENCED

    Static skew-symmetric output feedback control

    VIEW 8 EXCERPTS
    CITES BACKGROUND
    HIGHLY INFLUENCED

    On Linear Solutions of the Output Feedback Pole Assignment Problem

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 36 REFERENCES

    Towards a Schubert calculus for complex reflection groups

    VIEW 6 EXCERPTS
    HIGHLY INFLUENTIAL

    Pole placement by static output feedback

    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Combinatorics and intersections of Schubert varieties

    VIEW 3 EXCERPTS
    HIGHLY INFLUENTIAL

    Pole Placement by Static Output Feedback for Generic Linear Systems

    VIEW 1 EXCERPT

    Eigenvalues

    • W. Fulton
    • invariant factors, highest weights, and Schubert calculus, Bull. Amer. Math. Soc. (N.S.), 37
    • 2000

    Pole Placement and Matrix Extension Problems: A Common Point of View

    VIEW 2 EXCERPTS