Generalised absolute stability and Sum of Squares

@article{Hancock2011GeneralisedAS,
  title={Generalised absolute stability and Sum of Squares},
  author={Edward J. Hancock and Antonis Papachristodoulou},
  journal={Proceedings of the 2011 American Control Conference},
  year={2011},
  pages={2302-2307}
}
This paper introduces a general framework for analysing systems that have non-polynomial, uncertain or high order nonlinearities. It decomposes the vector field using Lur'e type feedback into a system with a polynomial or rational vector field and a nonlinear memoryless feedback term, which is bounded by polynomial or rational functions. This decomposition… CONTINUE READING