Time-limited Gramians-based model order reduction for second-order form systems
2018 ◽
Vol 41
(8)
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pp. 2310-2318
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Keyword(s):
A new scheme for model order reduction of large-scale second-order systems in time-limited intervals is presented. Time-limited Gramians that are solutions of continuous-time algebraic Lyapunov equations for second-order form systems are introduced. Time-limited second-order balanced truncation procedures with provision of balancing position and velocity Gramians are formulated. Stability conditions for reduced-order models are stated and algorithms that preserve stability in reduced-order models are discussed. Numerical examples are presented to validate the superiority of the proposed scheme compared with the infinite-time Gramians technique for time-limited applications.
2011 ◽
Vol 21
(3)
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pp. 509-519
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Keyword(s):
2007 ◽
Vol 84
(7)
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pp. 1003-1019
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Keyword(s):
2011 ◽
Vol 317-319
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pp. 2359-2366
Keyword(s):
2018 ◽
Vol 60
◽
pp. 739-757
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Keyword(s):
2012 ◽
Vol 2012
◽
pp. 1-9
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Keyword(s):
2013 ◽
Vol 14
(3)
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pp. 639-663
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Keyword(s):
2020 ◽
Vol 5
(4)
◽
pp. 715-723
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Keyword(s):