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In this paper we will propose a definition of the concept of minimalstate-space representations in innovation form for LPV. We also presentalgebraic conditions for a stochastic LPV state-space representation to beminimal in forward innovation form and discuss an algorithm for transformingany stochastic LPV state-space representation to a minimal one in innovationform.

On minimal LPV state-space representations in innovation form: an algebraic characterization