A normal form for pure differential algebraic systems

Stephan Trenn

doi:10.1016/j.laa.2008.10.004

A normal form for pure differential algebraic systems

Stephan Trenn^*

^*Corresponding author for this work

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3 Citations (Scopus)

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Abstract

In this paper linear time-invariant differential algebraic equations (DAEs) are studied; the focus is on pure DAEs which are DAEs without an ordinary differential equation (ODE) part. A normal form for pure DAEs is given which is similar to the Byrnes-Isidori normal form for ODEs. Furthermore, the normal form exhibits a Kalman-like decomposition into impulse-controllable- and impulse-observable states. This leads to a characterization of impulse-controllability and observability.

Original language	English
Pages (from-to)	1070-1084
Number of pages	15
Journal	Linear Algebra and Its Applications
Volume	430
Issue number	4
DOIs	https://doi.org/10.1016/j.laa.2008.10.004
Publication status	Published - 1-Feb-2009
Externally published	Yes

Keywords

Differential algebraic equation
Impulse controllability
Impulse observability
Normal form

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AB - In this paper linear time-invariant differential algebraic equations (DAEs) are studied; the focus is on pure DAEs which are DAEs without an ordinary differential equation (ODE) part. A normal form for pure DAEs is given which is similar to the Byrnes-Isidori normal form for ODEs. Furthermore, the normal form exhibits a Kalman-like decomposition into impulse-controllable- and impulse-observable states. This leads to a characterization of impulse-controllability and observability.

KW - Differential algebraic equation

KW - Impulse controllability

KW - Impulse observability

KW - Normal form

UR - https://www.scopus.com/pages/publications/58049218854

U2 - 10.1016/j.laa.2008.10.004

DO - 10.1016/j.laa.2008.10.004

M3 - Article

AN - SCOPUS:58049218854

SN - 0024-3795

VL - 430

SP - 1070

EP - 1084

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 4

ER -

A normal form for pure differential algebraic systems

Abstract

Keywords

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