Robust stabilization of discrete-time systems

  title={Robust stabilization of discrete-time systems},
  author={J B Hoagg and D. S. Bernstein},
  journal={2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)},
  pages={2346-2351 Vol.3}
This paper considers the robust stabilization of single-input single-output (SISO) linear shift-invariant discrete-time systems. A non-minimal state-space realization is used to transform the original SISO system into a higher order realization with full-state measurement without knowledge of the system parameters. Robust stabilization is achieved using a weighted least squares optimization with the stability constraint implemented as linear matrix inequalities. 
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