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A modified inverse for linear dynamical systems

Micheal Sain, James L. Massey

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Abstract

In earlier work, the authors have treated the questions of existence and construction of linear time invariant dynamical inverses for linear time invariant dynamical systems. For systems having inverses, these procedures provide an inverse system whose output is a uniformly delayed or uniformly integrated version of the original system input. Recognizing that some applications may require each component of the original system input to be recovered with individually minimum delay or integration, the authors present here alternative procedures to be used in such cases.

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What this paper is about

In earlier work, the authors have treated the questions of existence and construction of linear time invariant dynamical inverses for linear time invariant dynamical systems. For systems having inverses, these procedures provide an inverse system whose output is a uniformly delayed or uniformly integrated version of the original system input. Recognizing that some applications may require each component of the original system input to be recovered with individually minimum delay or integration, the authors present here alternative procedures to be used in such cases.

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Available abstract

In earlier work, the authors have treated the questions of existence and construction of linear time invariant dynamical inverses for linear time invariant dynamical systems. For systems having inverses, these procedures provide an inverse system whose output is a uniformly delayed or uniformly integrated version of the original system input. Recognizing that some applications may require each component of the original system input to be recovered with individually minimum delay or integration, the authors present here alternative procedures to be used in such cases.

Key concepts: Linear dynamical system, LTI system theory, Dynamical systems theory, Inverse, Linear system, Invariant (physics), Mathematics, Component (thermodynamics)

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