Analysis and applications of robust nonsingularity problem using the structured singular value

This note uses the structured singular value technique to solve the robust nonsingularity analysis problem for matrices with unstructured and/or quadratically coupled structured uncertainties. With the ready /spl mu/-analysis tools, a new approach is proposed for finding a set of uncertainties within which the perturbed matrix keeps nonsingularity. Applications and examples in robust control theory are given to show the usefulness and the practicality of the proposed approach.<
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