External and Internal Stability of Linear Systems—A New Connection

Brian D.O. Anderson

doi:10.1109/TAC.1972.1099875

External and Internal Stability of Linear Systems—A New Connection

Brian D.O. Anderson^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

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.

Original language	English
Pages (from-to)	107-111
Number of pages	5
Journal	IEEE Transactions on Automatic Control
Volume	17
Issue number	1
DOIs	https://doi.org/10.1109/TAC.1972.1099875
Publication status	Published - Feb 1972
Externally published	Yes

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10.1109/TAC.1972.1099875

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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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External and Internal Stability of Linear Systems—A New Connection

Abstract

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