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Contingent on the existence of certain affine maps, necessary and sufficient conditions for the eigenvalues of all matrices belonging to the convex hull of two given matrices to lie in a subset of the complex plane are ...

Some recent results on guardian maps and their application to generalized robust stability are reviewed and a characterization of the maximum stability range is obtained. This framework is then applied to the analysis of ...

The stability of time-invariant multiparameter singular perturbation problems is considered and the implications of two time-scale stability results for multiple time-scale systems are clarified. An example shows that the ...

An important unsolved problem in nonlinear control is that of stabilization with a prescribed region of stability. In this paper, sufficient conditions are obtained for the existence of a linear feedback stabilizing an ...