Robust Stability of Family of Polynomials with 1-norm-bounded Parameter Uncertainties
We consider the robust stability problem of polynomial families whose coefficient vectors are affine in an uncertain parameter vector bounded by the Hölder 1-norm. We show that the value set of such a polynomial family is a convex parpolygon. Edge results are then established. Using these results we solve the robust Hurwitz stability problem for diamond of polynomials and the robust stabilization problem for control systems with diamond of plants.
KeywordsRobust Stability Root Cluster Division Point Extreme Polynomial Poly Topical Uncertainty
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