A Necessary and Sufficient Condition for Robust Stability of LTI Discrete-Time Systems using Sum-of-Squares Matrix Polynomials

@article{Lavaei2006ANA,
  title={A Necessary and Sufficient Condition for Robust Stability of LTI Discrete-Time Systems using Sum-of-Squares Matrix Polynomials},
  author={Javad Lavaei and A. G. Aghdam},
  journal={Proceedings of the 45th IEEE Conference on Decision and Control},
  year={2006},
  pages={2924-2930}
}
This paper deals with the robust stability of discrete-time systems with convex polytopic uncertainties. First, it is proved that the parameter-dependent Lyapunov function can be assumed to be a polynomial with a specific bound on its degree. Then, it is shown that the robust stability of any system is equivalent to the existence of two matrix polynomials… CONTINUE READING