| Presentation | 2005/3/10 State-Space Analysis of Linear Power Complementary Systems : Gramians, Second-Order Modes and Sign-Symmetry Properties Shunsuke KOSHITA, Masahide ABE, Masayuki KAWAMATA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This paper analyzes linear continuous-time systems and their power complementary systems in terms of the state-space representation and derives novel theorems on the controllability and observability Gramians and second-order modes. First, it is proved that solutions to the Riccati equations consist of the Gramians of linear systems and their power complementary systems. This result leads us to the derivation of two inequalities which relate the frequency response of linear systems to the values of the second-order modes. Furthermore, this paper reveals some sign-symmetry properties among linear systems, power complementary systems and solutions to the Riccati equations. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | state-space representation / power complementary / Gramian / second-order mode / Riccati equation |
| Paper # | SIS2004-58 |
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| Conference Information | |
| Committee | SIS |
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| Conference Date | 2005/3/10(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Smart Info-Media Systems (SIS) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | State-Space Analysis of Linear Power Complementary Systems : Gramians, Second-Order Modes and Sign-Symmetry Properties |
| Sub Title (in English) | |
| Keyword(1) | state-space representation |
| Keyword(2) | power complementary |
| Keyword(3) | Gramian |
| Keyword(4) | second-order mode |
| Keyword(5) | Riccati equation |
| 1st Author's Name | Shunsuke KOSHITA |
| 1st Author's Affiliation | Department of Electronic Engineering, Graduate School of Engineering, Tohoku University() |
| 2nd Author's Name | Masahide ABE |
| 2nd Author's Affiliation | Department of Electronic Engineering, Graduate School of Engineering, Tohoku University |
| 3rd Author's Name | Masayuki KAWAMATA |
| 3rd Author's Affiliation | Department of Electronic Engineering, Graduate School of Engineering, Tohoku University |
| Date | 2005/3/10 |
| Paper # | SIS2004-58 |
| Volume (vol) | vol.104 |
| Number (no) | 735 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |