Multidimensional stability test using sum-of-squares decomposition

@article{Dumitrescu2004MultidimensionalST,
  title={Multidimensional stability test using sum-of-squares decomposition},
  author={Bogdan Dumitrescu},
  journal={2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512)},
  year={2004},
  volume={3},
  pages={III-545}
}
A new stability test for d-dimensional systems is presented. It consists of maximizing the minimum eigenvalue of a positive definite Gram matrix associated with a polynomial positive on the unit d-circle. This formulation is based on expressing the polynomial as a sum of squares and leads to a semidefinite programming (SDP) problem, which can be solved reliably. Although the test is based on a sufficient condition, the practical results are very good. Also, the test has the advantage of not… CONTINUE READING
Highly Cited
This paper has 20 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 13 references

Stability and Margin of Stability Tests for Multidimensional Filters

I. F. Gonos N. E. Mastorakis, M. N. S. Swamy
IEEE Trans . Circ . Syst . I • 1999

Stability and Margin of Stability Tests for Multidimensional Filters,”IEEE

E. Curtin, S. Saba
Trans. Circ. Syst. I, • 1999
View 2 Excerpts

Sums of Squares of Real Polynomials,”Proc

M. D. Choi, T. Y. Lam, B. Reznick
Symp. Pure Math. , • 1995
View 2 Excerpts