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Robust Hurwitz and Schur stability via interval positivity


Correspondence to: L. H. Keel, Department of Electrical and Computer Engineering, Tennessee State University, Nashville, TN 37209, U.S.A.



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.