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A notion of possible controllability for uncertain linear systems with structured uncertainty. (English) Zbl 1154.93319

Summary: This paper introduces a notion of possible controllability for a class of uncertain linear systems with structured uncertainty described by averaged integral quadratic constraints. This notion relates to the question of when a state is controllable for some possible value of the uncertainty. The notion of possible controllability is motivated by a desire to extend the theory of minimal realization for linear time invariant systems to the case of uncertain systems with structured uncertainty.

MSC:

93B05 Controllability
93C05 Linear systems in control theory
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