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Mixed balancing truncation for better impulse response

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Abstract

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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Authors and Affiliations

  1. Dept. of Mechanical Engineering, Kongju National University, Kongju, Chungnam, Korea

    Kwang Young Jeong

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  1. Kwang Young Jeong
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Jeong, K.Y. Mixed balancing truncation for better impulse response. KSME Journal 10, 259–264 (1996). https://doi.org/10.1007/BF02942634

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  • DOI: https://doi.org/10.1007/BF02942634

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