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Time-Varying Matrix Right Pseudoinverse

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Zhang Functions and Various Models

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Abstract

In Chap. 8, different ZD models based on ZFs have been presented for time-varying matrix left pseudoinversion. Being another case study of pseudoinverse for a time-varying rectangular matrix, in this chapter, by introducing four different ZFs, four different ZD models are proposed, generalized, developed, and investigated for time-varying right pseudoinversion. In addition, the link between the ZD models and the Getz-Marsden (G-M) dynamic system is discovered and presented to solve for time-varying matrix right pseudoinverse. Theoretical results and computer simulations with three illustrative examples are provided to further substantiate the excellent convergence performance of the proposed ZD models for time-varying matrix right pseudoinversion.

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Authors and Affiliations

  1. School of Information Science and Technology, Sun Yat-sen University, Guangzhou, China

    Yunong Zhang & Dongsheng Guo

Authors
  1. Yunong Zhang
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  2. Dongsheng Guo
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Correspondence to Yunong Zhang .

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Zhang, Y., Guo, D. (2015). Time-Varying Matrix Right Pseudoinverse. In: Zhang Functions and Various Models. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-47334-4_9

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  • DOI: https://doi.org/10.1007/978-3-662-47334-4_9

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-47333-7

  • Online ISBN: 978-3-662-47334-4

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