Abstract
An unusual application of aggregation methods to optimal control of large-scale linear discrete time dynamical systems is presented. In a first step the original system is aggregated by usual aggregation methods to obtain a simplified one, to be utilized as a first subsystem of a new global system. In a second step a residual subsystem of this global system is established in such a way to guarantee one-way interconnections between both subsytems. The relation between the original system and the new one is reciprocal one-to-one. The new global system existence conditions are examined and the optimization of the original large-scale system with respect to quadratic performance criterion is indicated in this way to avoid the usual iterative coordination process.
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