Some properties of generalized inverse of non-square systems

Shenpeng Li, Jingxin Zhangt

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2 Citations (Scopus)


Generalized inverse of non-square MIMO system arise from many application problems. This paper investigates some fundamental properties of the generalized inverse. These include the necessary and sufficient conditions for the minimum H2 norm inverse, the minimality of the H2 norms for the rows/columns of the inverse, and the redundancy and design freedom associated with the rows/columns of the generalized inverse. An application to MIMO communication system is presented to demonstrate the usefulness and potential of these properties.

Original languageEnglish
Title of host publicationProceedings of the 52nd IEEE Conference on Decision and Control, CDC 2013
Subtitle of host publicationDecember 10-13, 2013, Firenze, Italy
PublisherIEEE, Institute of Electrical and Electronics Engineers
Number of pages6
ISBN (Electronic)9781467357173
ISBN (Print)9781467357142
Publication statusPublished - 2013
EventIEEE Conference on Decision and Control 2013 - Florence, Italy
Duration: 10 Dec 201313 Dec 2013
Conference number: 52nd (Proceedings)


ConferenceIEEE Conference on Decision and Control 2013
Abbreviated titleCDC 2013
Internet address

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