Outer bounds on the eingenvalues of interval matrices - the complex eingenvalues case
نویسندگان
چکیده
Stability analysis of linear circuits and systems under interval parameters uncertainties can be equated to estimating the eigenvalues of interval matrices. In this paper, the problem of determining outer bounds on the ranges of the eigenvalues of interval matrices with complex eigenvalues, is considered. A method for computing such bounds is suggested. It consist of setting up and solving a system of 2n nonlinear equations with 2n unknowns. The latter system is only mildly nonlinear and its solution presents no numerical difficulties. An example illustrating the applicability of the method suggested is provided.
منابع مشابه
Outer bounds on the real eingenvalues of interval matrices
Stability analysis of linear circuits and systems under interval parameter uncertainties can be equated to estimating the eigenvalues of interval matrices. In this paper, the problem of determining outer bounds on the ranges of the real eigenvalues is considered. A method for computing such bounds is suggested. It consist of setting up and solving a system of n nonlinear equations, n being the ...
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