Regular Paper
International Journal of Control, Automation and Systems 2022; 20(9): 2830-2838
Published online August 27, 2022
https://doi.org/10.1007/s12555-021-0362-z
© The International Journal of Control, Automation, and Systems
Characterization of Switched Descriptor Systems Under Three Equivalent Forms
This paper provides an efficient approach to the analysis of switched descriptor systems. Firstly, we focus on the problem of characterizing the consistency of such systems. Based on the different equivalent forms of systems, we introduce the associated projectors to guarantee the consistency of the solutions. Moreover, we investigate the stability of switched descriptor systems and provide some conditions which are based on a checkable approach via linear matrix inequality. Finally, we make a detailed comparison between different stability conditions via an illustrative example.
Keywords Descriptor systems, Drazin inverse, stability, switched systems.
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Regular Paper
International Journal of Control, Automation and Systems 2022; 20(9): 2830-2838
Published online September 1, 2022 https://doi.org/10.1007/s12555-021-0362-z
Copyright © The International Journal of Control, Automation, and Systems.
Characterization of Switched Descriptor Systems Under Three Equivalent Forms
Xiuyong Ding
Southwest Jiaotong University
Abstract
This paper provides an efficient approach to the analysis of switched descriptor systems. Firstly, we focus on the problem of characterizing the consistency of such systems. Based on the different equivalent forms of systems, we introduce the associated projectors to guarantee the consistency of the solutions. Moreover, we investigate the stability of switched descriptor systems and provide some conditions which are based on a checkable approach via linear matrix inequality. Finally, we make a detailed comparison between different stability conditions via an illustrative example.
Keywords: Descriptor systems, Drazin inverse, stability, switched systems.
Vol. 23, No. 3, pp. 683~972
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