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External and Internal Stability of Linear Systems—A New Connection

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Date

1972

Authors

Anderson, Brian D.O.

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Abstract

Finite-dimensional linear systems are considered with the properties of uniform complete controllability and observability. It is shown that exponential asymptotic stability of the homogeneous part of the system is equivalent to the system mapping inputs with finite £2norm into outputs with finite £2 norm.

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https://hdl.handle.net/1885/733802703

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ANU Research Publications

Source

IEEE Transactions on Automatic Control

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Journal article

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DOI

10.1109/TAC.1972.1099875

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