Multidimensional stability test using sum-of-squares decomposition

  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)},
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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