Full-Column Rank Solutions to a Nonlinear Matrix Equation

Yan Tao Wang; Xin Rong Yang; Rui Zhi Zhang

doi:10.4028/www.scientific.net/AMR.490-495.1265

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 490-495Full-Column Rank Solutions to a Nonlinear Matrix...

Full-Column Rank Solutions to a Nonlinear Matrix Equation

Abstract:

This paper concerns full-column rank solutions to the nonlinear matrix equation XA+XBX=HX, which is proposed from the so-called regulation problem of continuous-time (descriptor) linear systems with constrained states and controls. Sufficient and necessary conditions under which the nonlinear matrix equation has at least one full rank solution are investigated, and thereby, a mistake in [1] is pointed out by constructing a counterexample. Moreover, one full-column rank solutions to the nonlinear matrix equation is constructed.

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Periodical:

Advanced Materials Research (Volumes 490-495)

Pages:

1265-1268

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.490-495.1265

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Online since:

March 2012

Authors:

Yan Tao Wang, Xin Rong Yang, Rui Zhi Zhang

Keywords:

Full-Column Rank Solutions, Nonlinear Matrix Equation

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References

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