Exact observability of diagonal systems with a finite-dimensional output operator

Birgit Jacob; Hans Zwart

doi:10.1016/S0167-6911(00)00117-1

Exact observability of diagonal systems with a finite-dimensional output operator

Birgit Jacob, Hans Zwart

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Abstract

In this paper equivalent conditions for exact observability of diagonal systems with a finite-dimensional output operator are given. One of these equivalent conditions is the conjecture of Russell and Weiss (SIAM J. Control Opt. 32(1) (1994) 1–23). The other conditions are in terms of the eigenvalues and the Lyapunov solutions of finite-dimensional subsystems

Original language	English
Pages (from-to)	101-109
Number of pages	9
Journal	Systems and control letters
Volume	43
Issue number	2
DOIs	https://doi.org/10.1016/S0167-6911(00)00117-1
Publication status	Published - 2001

Keywords

Exact observability
Unbounded observation operator
Lyapunov equation
Hautus test
Infinite-dimensional systems

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10.1016/S0167-6911(00)00117-1

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abstract = "In this paper equivalent conditions for exact observability of diagonal systems with a finite-dimensional output operator are given. One of these equivalent conditions is the conjecture of Russell and Weiss (SIAM J. Control Opt. 32(1) (1994) 1–23). The other conditions are in terms of the eigenvalues and the Lyapunov solutions of finite-dimensional subsystems",

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AU - Zwart, Hans

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AB - In this paper equivalent conditions for exact observability of diagonal systems with a finite-dimensional output operator are given. One of these equivalent conditions is the conjecture of Russell and Weiss (SIAM J. Control Opt. 32(1) (1994) 1–23). The other conditions are in terms of the eigenvalues and the Lyapunov solutions of finite-dimensional subsystems

KW - Exact observability

KW - Unbounded observation operator

KW - Lyapunov equation

KW - Hautus test

KW - Infinite-dimensional systems

U2 - 10.1016/S0167-6911(00)00117-1

DO - 10.1016/S0167-6911(00)00117-1

M3 - Article

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VL - 43

SP - 101

EP - 109

JO - Systems and control letters

JF - Systems and control letters

IS - 2

ER -

Exact observability of diagonal systems with a finite-dimensional output operator

Abstract

Keywords

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