A normal form for pure differential algebraic systems |
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Authors: | Stephan Trenn |
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Institution: | Institute for Mathematics, Ilmenau University of Technology, Ilmenau, Germany |
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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. |
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Keywords: | 34A09 34C20 |
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