Construction of Control Theory for Positive Systems Using Conic Programming
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- Ebihara Yoshio
- Principal Investigator
- 九州大学
About this project
- Japan Grant Number
- JP18K04200
- Funding Program
- Grants-in-Aid for Scientific Research
- Funding organization
- Japan Society for the Promotion of Science
- Project/Area Number
- 18K04200
- Research Category
- Grant-in-Aid for Scientific Research (C)
- Allocation Type
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- Multi-year Fund
- Review Section / Research Field
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- Basic Section 21040:Control and system engineering-related
- Research Institution
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- Kyushu University
- Kyoto University
- Project Period (FY)
- 2018-04-01 〜 2022-03-31
- Project Status
- Completed
- Budget Amount*help
- 4,420,000 Yen (Direct Cost: 3,400,000 Yen Indirect Cost: 1,020,000 Yen)
Research Abstract
In this study we develop conic-programming-based analysis and synthesis of linear positive dynamical systems. In dealing with the analysis and synthesis of general (non-positive) linear dynamical systems, the effectiveness of the semidefinite programming problem (SDP) is widely recognized where an SDP is an optimization problem over the positive semidefinite cone. However, when dealing with the analysis and synthesis of positive systems with strong positive properties, it is natural to employ the copositive programming problem (COP) where a COP is an optimization problem over the copositive cone. From this view point, we mainly derived COP-based analysis and synthesis conditions for positive systems in this study.
Details 詳細情報について
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- CRID
- 1040282256975257856
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- Text Lang
- ja
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- Data Source
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- KAKEN