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. |
Keyword(in Japanese) | (See Japanese page) |
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 |
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Conference Date | 2004/1/8(1days) |
Place (in Japanese) | (See Japanese page) |
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Registration To | Satellite Telecommunications (SAT) |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
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 |
Date of Issue |