Projected generalized discrete-time periodic Lyapunov equations and balanced realization of periodic descriptor systems

Eric King Wah Chu, Hung Yuan Fan, Wen Wei Lin

研究成果: 雜誌貢獻期刊論文同行評審

40 引文 斯高帕斯(Scopus)

摘要

From the necessary and sufficient conditions for complete reachability and observability of periodic descriptor systems with time-varying dimensions, the symmetric positive semidefinite reachability/observability Gramians are defined. These Gramians can be shown to satisfy some projected generalized discrete-time periodic Lyapunov equations. We propose a numerical method for solving these projected Lyapunov equations, and give an illustrative numerical example. As an application of our results, the balanced realization of periodic descriptor systems is discussed.

原文英語
頁(從 - 到)982-1006
頁數25
期刊SIAM Journal on Matrix Analysis and Applications
29
發行號3
DOIs
出版狀態已發佈 - 2007
對外發佈

ASJC Scopus subject areas

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