COMPUTING µ-VALUES AND PSEUDO-SPECTRA FOR AIRY OPERATORS

COMPUTING µ-VALUES AND PSEUDO-SPECTRA FOR AIRY OPERATORS

M. Rehman

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Abstract

Stability analysis play a vital role to design a linear feedback system in system theory. The stability of a feedback system is the direct measure of the roots of characteristic equation of transfer functions. The main objective of this article is to present numerical approximation of bounds of -values and computation of pseudo- spectrum for a class of Airy Operators. The comparison of the bounds of -values with the well-known MATLAB routine mussv is investigated which illustrate the behaviour of proposed methodology.

Keywords

Eigenvalues, Eigenvectors, Singular Values, Structured Singular Values, pseudo- spectrum, ordinary dierential equations.