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Structural Decomposition and its Properties of Linear Multivariable Singular Systems

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Abstract

We present in this paper a structural decomposition for linear multivariable singular systems. Such a decomposition has a distinct feature of capturing and displaying all the structural properties, such as the finite and infinite zero structures, invertibility structures, and redundant dynamics of the given system. As its counterpart for non-singular systems, we believe that the technique is a powerful tool in solving control problems for singular systems.

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Authors and Affiliations

  1. School of Electrical Engineering and Automation, Fuzhou University, Fuzhou, 350002, China

    Minghua He

  2. Department of Electrical and Computer Engineering, The National University of Singapore, Singapore, 117576, Republic of Singapore

    Ben M. Chen

  3. Charles L. Brown Department of Electrical and Computer Engineering, University of Virginia, Charlottesville, VA, 22904-4743, USA

    Zongli Lin

Authors
  1. Minghua He
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  2. Ben M. Chen
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  3. Zongli Lin
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Correspondence to Minghua He.

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He, M., Chen, B.M. & Lin, Z. Structural Decomposition and its Properties of Linear Multivariable Singular Systems. Jrl Syst Sci & Complex 20, 198–214 (2007). https://doi.org/10.1007/s11424-007-9017-2

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  • DOI: https://doi.org/10.1007/s11424-007-9017-2

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