Journal Article

Controllability and quadratic stability quadratic stabilization of discrete-time interval systems—an LMI approach

Da-Qing Zhang, Qing-Ling Zhang and Yue-Peng Chen

in IMA Journal of Mathematical Control and Information

Published on behalf of Institute of Mathematics and its Applications

Volume 23, issue 4, pages 413-431
Published in print December 2006 | ISSN: 0265-0754
Published online December 2006 | e-ISSN: 1471-6887 | DOI: http://dx.doi.org/10.1093/imamci/dni070
Controllability and quadratic stability quadratic stabilization of discrete-time interval systems—an LMI approach

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This paper presents necessary and sufficient conditions for discrete-time interval systems to be quadratically stable or quadratically stabilizable, and sufficient conditions for discrete-time interval systems to be controllable. All the results are obtained in terms of linear matrix inequality (LMI). With the LMI toolbox, the problems can be conveniently solved. Illustrative numerical examples show that the results are effective and less conservative to check the robust controllability and stability and to design the stabilizing controller for discrete-time interval systems.

Keywords: discrete interval systems; quadratic stability; quadratic stabilization; controllability; observability; linear matrix inequality (LMI)

Journal Article.  0 words. 

Subjects: Mathematics

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