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Robust Stability via the Guardian Map Approach: A Perspective
Guardian and semiguardian maps were recently introduced as tools for investigating generalized stability of parametrized families of matrices and of polynomials. Here we give a brief survey of the motivation and scope of ...
On the Generalized Stability of the Convex Hull of Two Matrices.
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 ...
Robust Stability of Complex Families of Matrices and Polynomials
Recently, the authors introduced the "guardian map" approach as a unifying tool in the study of robust generalized stability questions for marametrized families of matrices and polynomials. Real matrices and polynomials ...
Maximal Range for Generalized Stability- Application to Two Physically Motivated Examples.
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 ...
On Stabilization with a Prescribed Region of Asymptotic Stability.
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 ...