On Input-Output Parametric Invariance in Linear Systems

A. T. Fam; J. S. Meditch

doi:10.1109/TAC.1976.1101378

On Input-Output Parametric Invariance in Linear Systems

A. T. Fam
, J. S. Meditch

Department of Electrical Engineering

University at Buffalo

University of California at Irvine

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

Abstract

The problem of the invariance of the input-output behavior of time-invariant linear systems under perturbations in the system matrices and initial conditions is examined. Previous results are unified and expanded upon, and new results for invariance in the presence of perturbations in the output matrix are given. Conditions for input-output invariance are related to the subspace of reachable states and its orthogonal complement, and to the subspace of unobservable states.

Original language	English
Pages (from-to)	870-871
Number of pages	2
Journal	IEEE Transactions on Automatic Control
Volume	21
Issue number	6
DOIs	https://doi.org/10.1109/TAC.1976.1101378
State	Published - Dec 1976

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10.1109/TAC.1976.1101378

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title = "On Input-Output Parametric Invariance in Linear Systems",

abstract = "The problem of the invariance of the input-output behavior of time-invariant linear systems under perturbations in the system matrices and initial conditions is examined. Previous results are unified and expanded upon, and new results for invariance in the presence of perturbations in the output matrix are given. Conditions for input-output invariance are related to the subspace of reachable states and its orthogonal complement, and to the subspace of unobservable states.",

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AB - The problem of the invariance of the input-output behavior of time-invariant linear systems under perturbations in the system matrices and initial conditions is examined. Previous results are unified and expanded upon, and new results for invariance in the presence of perturbations in the output matrix are given. Conditions for input-output invariance are related to the subspace of reachable states and its orthogonal complement, and to the subspace of unobservable states.

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JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 6

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On Input-Output Parametric Invariance in Linear Systems

Abstract

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