Abstract
The system pencil is a convenient way of representing a linear time invariant control system. It is particularly appropriate when system zeros are important — in regulator design, for example. This paper presents an unfolding of certain system pencils, possibly, but not necessarily, singular. That is, it demonstrates a minimal parameterization of the nominal pencil such that any nearby pencil, up to strict equivalence, corresponds to some value of the parameter vector. This unfolding has potential practical and theoretical applications to systems with parameter dependence.
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