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}
}

• Bogdan Dumitrescu
• Published 2004 in
  2004 IEEE International Symposium on Circuits and…
• DOI:10.1109/ISCAS.2004.1328804

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

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