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1974•IEEE Transactions on Automatic ControlOpen access

Eigenvalue sensitivity of linear time-invariant control systems with repeated eigenvalues

Paraskevas N. Paraskevopoulos, C. Tsonis, Spyros G. Tzafestaş

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Abstract

The present paper considers the problem of determining the eigenvalue sensitivities of linear time-invariant control systems. The approach adopted is new in the field of eigenvalue sensitivity and the results derived apply to both distinct and repeated eigenvalues. The method is illustrated by an example.

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What this paper is about

The present paper considers the problem of determining the eigenvalue sensitivities of linear time-invariant control systems. The approach adopted is new in the field of eigenvalue sensitivity and the results derived apply to both distinct and repeated eigenvalues. The method is illustrated by an example.

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OpenAlex reports 13 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The present paper considers the problem of determining the eigenvalue sensitivities of linear time-invariant control systems. The approach adopted is new in the field of eigenvalue sensitivity and the results derived apply to both distinct and repeated eigenvalues. The method is illustrated by an example.

Key concepts: Eigenvalues and eigenvectors, LTI system theory, Mathematics, Sensitivity (control systems), Linear system, Invariant (physics), Eigenvalue perturbation, Applied mathematics

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