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Volume 18, Issue 1
Regularization of Singular Systems by Output Feedback

De-Lin Chu & Da-Yong Cai

J. Comp. Math., 18 (2000), pp. 43-60.

Published online: 2000-02

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  • Abstract

Problem of regularization of a singular system by derivative and proportional output feedback is studied. Necessary and sufficient conditions are obtained under which a singular system can be regularized into a closed-loop system that is regular and of index at most one. The reduced form is given that can easily explore the system properties as well as the feedback to be determined. The main results of the present paper are based on orthogonal transformations. Therefore, they can be implemented by numerically stable ways.  

  • Keywords

Regularization, Singular systems, Output feedback.

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COPYRIGHT: © Global Science Press

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@Article{JCM-18-43, author = {Chu , De-Lin and Cai , Da-Yong}, title = {Regularization of Singular Systems by Output Feedback}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {1}, pages = {43--60}, abstract = {

Problem of regularization of a singular system by derivative and proportional output feedback is studied. Necessary and sufficient conditions are obtained under which a singular system can be regularized into a closed-loop system that is regular and of index at most one. The reduced form is given that can easily explore the system properties as well as the feedback to be determined. The main results of the present paper are based on orthogonal transformations. Therefore, they can be implemented by numerically stable ways.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9021.html} }
TY - JOUR T1 - Regularization of Singular Systems by Output Feedback AU - Chu , De-Lin AU - Cai , Da-Yong JO - Journal of Computational Mathematics VL - 1 SP - 43 EP - 60 PY - 2000 DA - 2000/02 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9021.html KW - Regularization, Singular systems, Output feedback. AB -

Problem of regularization of a singular system by derivative and proportional output feedback is studied. Necessary and sufficient conditions are obtained under which a singular system can be regularized into a closed-loop system that is regular and of index at most one. The reduced form is given that can easily explore the system properties as well as the feedback to be determined. The main results of the present paper are based on orthogonal transformations. Therefore, they can be implemented by numerically stable ways.  

Chu , De-Lin and Cai , Da-Yong. (2000). Regularization of Singular Systems by Output Feedback. Journal of Computational Mathematics. 18 (1). 43-60. doi:
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