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Controllability and quadratic stability quadratic stabilization of discrete-time interval systems--an LMI approach |
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| Authors: | Zhang Da-Qing; Zhang Qing-Ling; Chen Yue-Peng |
| Institution: | 1 Institute of System Science, Northeastern University, Shenyang Liaoning Province 110004, P. R. China, 2 College of Science, Anshan University of Science and Technology, Anshan Liaoning Province 114044, P. R. China, 3 Institute of System Science, Northeastern University, Shenyang Liaoning Province 110004, P. R. China |
| Abstract: | ** Email: qlzhang{at}mail.neu.edu.cn This paper presents necessary and sufficient conditions fordiscrete-time interval systems to be quadratically stable orquadratically stabilizable, and sufficient conditions for discrete-timeinterval systems to be controllable. All the results are obtainedin terms of linear matrix inequality (LMI). With the LMI toolbox,the problems can be conveniently solved. Illustrative numericalexamples show that the results are effective and less conservativeto check the robust controllability and stability and to designthe stabilizing controller for discrete-time interval systems. |
| Keywords: | discrete interval systems quadratic stability quadratic stabilization controllability observability linear matrix inequality (LMI) |
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