External and internal stability of linear systems, a new connection

BDO ANDERSON BDO

External and internal stability of linear systems, a new connection

BDO ANDERSON BDO^*

^*Corresponding author for this work

School of Engineering

Research output: Contribution to conference › Paper › peer-review

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 L//2 norm into outputs with finite L//2 norm.

Original language	English
Pages	53-58
Number of pages	6
Publication status	Published - 1971
Event	Jt Autom Control Conf, 12th - Duration: 11 Aug 1971 → 13 Aug 1971

Conference

Conference	Jt Autom Control Conf, 12th
Period	11/08/71 → 13/08/71

Cite this

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title = "External and internal stability of linear systems, a new connection",

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 L//2 norm into outputs with finite L//2 norm.",

author = "\{ANDERSON BDO\}, BDO",

year = "1971",

language = "English",

pages = "53--58",

note = "Jt Autom Control Conf, 12th ; Conference date: 11-08-1971 Through 13-08-1971",

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TY - CONF

T1 - External and internal stability of linear systems, a new connection

AU - ANDERSON BDO, BDO

PY - 1971

Y1 - 1971

N2 - 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 L//2 norm into outputs with finite L//2 norm.

AB - 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 L//2 norm into outputs with finite L//2 norm.

UR - https://www.scopus.com/pages/publications/0015199312

M3 - Paper

AN - SCOPUS:0015199312

SP - 53

EP - 58

T2 - Jt Autom Control Conf, 12th

Y2 - 11 August 1971 through 13 August 1971

ER -

External and internal stability of linear systems, a new connection

Abstract

Conference

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