Differential-algebraic equations of index 1 may have an arbitrarily high structural index

摘要

It is shown that the structural index of a linear differential algebraic equation (DAE) with constant coefficients and with index 1 may be arbitrarily high, contrary to a previous result from the literature. This demonstrates that Pantelides algorithm applied to DAEs of index 1 may perform an arbitrarily high number of iterations and differentiations. [References: 10]