Abstract
We define the smooth observability of nonlinear DAE systems and give sufficient conditions for this property to hold locally in a neighborhood of a solution. The matrix rank conditions for observability are verifiable by a combination of symbolic and numerical linear algebra computations. These conditions generalize conditions that have appeared in the literature for observability of linear time-varying DAE systems. We indicate how the main result is potentially useful in studying a system's zero dynamics. Some relevant rank properties of Hessenberg DAE systems are established.
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This work was supported in part by the Grant-In-Aid Program for Faculty of Virginia Commonwealth University.
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Terrell, W.J. Observability of nonlinear differential algebraic systems. Circuits Systems and Signal Process 16, 271–285 (1997). https://doi.org/10.1007/BF01183279
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DOI: https://doi.org/10.1007/BF01183279