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New Directions and Applications in Control Theory pp 61–79Cite as

Semi-tensor Product of Matrices and its Applications to Dynamic Systems

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Part of the book series: Lect. Notes Control ((LNCIS,volume 321))

Abstract

In this paper we introduce the semi-tensor product of matrices, which is a generalization of conventional matrix product. Three of its applications will be discussed: Numerical solution to Morgan's problem, Estimation of region of attraction of a stable equilibrium, and Non-regular linearization.

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Authors and Affiliations

  1. Institute of Systems Science, Chinese Academy of Sciences, Beijing, P.R. China

    Daizhan Cheng

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  1. Daizhan Cheng
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Wijesuriya P. Dayawansa Anders Lindquist Yishao Zhou

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Cheng, D. Semi-tensor Product of Matrices and its Applications to Dynamic Systems. In: P. Dayawansa, W., Lindquist, A., Zhou, Y. (eds) New Directions and Applications in Control Theory. Lect. Notes Control, vol 321. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10984413_5

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  • DOI: https://doi.org/10.1007/10984413_5

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23953-6

  • Online ISBN: 978-3-540-31574-2

  • eBook Packages: EngineeringEngineering (R0)

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