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

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

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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

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

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ER -

A normal form for pure differential algebraic systems

Abstract

Keywords

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