Presentation 2004/1/8
Grammians of 2-D Separable Denominator Continuous Time Systems
Yousuk MIZUKAMI, Masayuki KAWAMATA, Yukihiko YAMASHITA,
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Abstract(in English) In this paper, we derive the controllability and the observability grammians in 2-D separable denominator continuous time systems. The grammians of 1-D systems are derived by necessary and sufficient conditions for the controllability and the observability, and are solutions of Lyapunov Equations. So, we extend this derivation method, and provide the grammians and its Lyapunov Equations in 2-D systems. Moreover, we show that the upper bound of error by the 2-D model reduction can be calculated using the derived grammians similarly to the 1-D case.
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Keyword(in English) separable denominator 2-D systems / separable local controllability / grammian / lyapunov equation / 2-D model reduction
Paper # DSP2003-157,SAT2003-154,RCS2003-252
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Committee SAT
Conference Date 2004/1/8(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) Grammians of 2-D Separable Denominator Continuous Time Systems
Sub Title (in English)
Keyword(1) separable denominator 2-D systems
Keyword(2) separable local controllability
Keyword(3) grammian
Keyword(4) lyapunov equation
Keyword(5) 2-D model reduction
1st Author's Name Yousuk MIZUKAMI
1st Author's Affiliation School of Science and Engineering, Tokyo Institute of Technology()
2nd Author's Name Masayuki KAWAMATA
2nd Author's Affiliation School of Engineering, Tohoku University
3rd Author's Name Yukihiko YAMASHITA
3rd Author's Affiliation School of Science and Engineering, Tokyo Institute of Technology
Date 2004/1/8
Paper # DSP2003-157,SAT2003-154,RCS2003-252
Volume (vol) vol.103
Number (no) 549
Page pp.pp.-
#Pages 6
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