Stability analysis of linear interval parameter systems via assessing the eigenvalues range
نویسندگان
چکیده
The paper addresses the stability analysis of linear circuits and systems under interval parameter uncertainties. The problem is equivalent of estimating the eigenvalues of matrices, which elements are nonlinear functions of interval parameters. A method for obtaining the exact range of the eigenvalues is suggested. It can be applied if certain monotonicity conditions are fulfilled. A method for computing a tight outer bound on the eigenvalue range is also given. The outer bound is obtained as a solution of an algebraic nonlinear system. A procedure based on an iterative method for determining an inner bound on the eigenvalue range is also proposed. A numerical example, illustrating the applicability of the methods suggested, is solved at the end. Index Terms robust stability analysis, eigenvalues of interval matrices with dependent coefficients.
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