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Keywords:

  • Hurwitz;
  • Schur;
  • stability;
  • sign-definite decomposition

SUMMARY

In this paper, we develop a new approach to computing the entire set of stabilizing controllers for a given continuous-time linear time-invariant system by using recent results from interval positivity. The discrete counterpart is also presented. The approaches are based on the sign-definite decomposition that enables us to deal with functions that are polynomially dependent on the parameters of interests. Copyright © 2012 John Wiley & Sons, Ltd.