Index reduction of index 1 DAE under uncertainty
نویسنده
چکیده
This paper examines an index reduction method for linear time-invariant differential algebraic equations, with uncertainty in the equation coefficients. When the bottom block of a block upper triangular leading matrix contains no elements that can be distinguished from zero, the natural action to take is to replace all numbers in the block by exact zeros, and then proceed with index reduction by differentiation. Conditions are given under which zeroing of an uncertain small block gives a small deviation in the solution.
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