
doi: 10.1007/bf02942634
Two methods of balancing reduction are presented. The first is to truncate the states corresponding to smaller Hankel singular values of the reciprocal balanced system. The second is to choose one of some balancing methods, that has the least impulse response error by reducing one order at a time. The relation between the grammians of the balanced system and those of the reciprocal system is derived.
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