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1984•IEEE Transactions on Automatic ControlOpen access

Eigenvalue-eigenvector sensitivity analysis of linear time-invariant singular systems

Paraskevas N. Paraskevopoulos, M.A. Christodoulou, Manolis C. Tsakiris

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Abstract

This note refers to the eigenvalue-eigenvector sensitivity analysis of linear time-invariant multivariable singular systems. Procedures that can be easily programmed on a digital computer are presented for the determination of the deviation of the eigenvalues and the corresponding right and left eigenvectors which are caused by the system's parameter changes about their nominal values. The method is illustrated by two examples.

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What this paper is about

This note refers to the eigenvalue-eigenvector sensitivity analysis of linear time-invariant multivariable singular systems. Procedures that can be easily programmed on a digital computer are presented for the determination of the deviation of the eigenvalues and the corresponding right and left eigenvectors which are caused by the system's parameter changes about their nominal values. The method is illustrated by two examples.

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Available abstract

This note refers to the eigenvalue-eigenvector sensitivity analysis of linear time-invariant multivariable singular systems. Procedures that can be easily programmed on a digital computer are presented for the determination of the deviation of the eigenvalues and the corresponding right and left eigenvectors which are caused by the system's parameter changes about their nominal values. The method is illustrated by two examples.

Key concepts: Eigenvalues and eigenvectors, Mathematics, Multivariable calculus, Invariant (physics), LTI system theory, Linear system, Sensitivity (control systems), Matrix differential equation

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