Computation of the structured stability radius via matrix sign function

Robustness of perturbed state space models of the form x = (A + BDC)x is considered, where B, C are given matrices, A is an asymptotically stable matrix and D is the unknown perturbation matrix. An efficient algorithm to compute the complex structured stability radius, which is based on the properties of the matrix sign function, is presented. A comparison with previous algorithms shows the efficiency of the new algorithm

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