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Further decomposition for singular systems and its properties on geometric subspace

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Abstract

This paper focuses on the relationship between the geometric subspaces and the structural decomposition of continuous-time singular systems. The original structural decomposition is not capable of revealing explicitly the invariant geometric subspaces for singular systems. As such, a further decomposition is necessary and is thus investigated in this paper. Under a new decomposition proposed, the supremal output-nulling (A,E, ImB)-invariant subspace of singular systems can be clearly expressed in an explicit form, and some of its applications are also addressed.

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Authors and Affiliations

  1. Department of Automation, Xiamen University, Xiamen Fujian, 361005, China

    Jianxiong Yang & Maoqing Li

Authors
  1. Jianxiong Yang
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  2. Maoqing Li
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Correspondence to Jianxiong Yang.

Additional information

Jianxiong YANG received her Ph.D. degree from Department of Automation, Xiamen University, China, in 2009. Currently, she is a lecturer at the Xiamen City University. Her research interests include control of singular systems and embedded system design.

Maoqing LI is a full professor at the Xiamen University, also the vice dean of School of Information Science and Technology. His research interests include system engineering and decision support system.

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Yang, J., Li, M. Further decomposition for singular systems and its properties on geometric subspace. J. Control Theory Appl. 8, 293–300 (2010). https://doi.org/10.1007/s11768-010-0033-8

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  • DOI: https://doi.org/10.1007/s11768-010-0033-8

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