Strong Kharitonov Theorem for Discrete Systems

نویسندگان

  • M. Mansour
  • F. Kraus
چکیده

In [I] robust stability properties of Schur polynomials of the form f(z) = an-i zi were analyzed and a theorem analogous to Kharitonov's weak theorem [2] was derived, where all the corner points of a polyhedron are needed for stability. In this paper the analog of the strong Kharitonov theorem is derived for discrete systems. It is shown that only a relatively small number of comers are needed. The number of comers increases with the system order and can be expressed as a sum of Euler functions.

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تاریخ انتشار 2004