Analysis of Large Scale Interconnected Positive Systems and Its Application to Social System Design

• Project/Area Number: 25420436
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Control engineering/System engineering
• Research Institution: Kyoto University
• Principal Investigator: Ebihara Yoshio 京都大学, 工学研究科, 准教授 (80346080)
• Project Period (FY): 2013-04-01 – 2017-03-31
• Project Status: Completed (Fiscal Year 2016)
• Budget Amount: ¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000); Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
• Keywords: 非負システム / 大規模システム / ネットワーク / 通信遅延 / フォーメーション制御 / 凸最適化

Outline of Final Research Achievements

In this study we dealt with analysis and synthesis of an interconnected positive system constructed from positive subsystems and a nonnegative interconnection matrix. As the main results, we showed that the stability and the steady-state property of the interconnected positive system can be fully characterized by the L1-induced norms of positive subsystems and the Frobenius eigenvalue of the nonnegative interconnection matrix.

Research Products

• [Int'l Joint Research] LAAS-CNRS, Toulouse, France(France)
• [Int'l Joint Research] LAAS-CNRS, Toulouse, France(France)
• [Journal Article] Analysis and Synthesis of Interconnected Positive Systems (2017)
  • Author(s): Y. Ebihara, D. Peaucelle, D. Arzelier
  • Journal Title: IEEE Transactions on Automatic Control Volume: 62 Issue: 2 Pages: 652-667
  • DOI: 10.1109/tac.2016.2558287
  • NAID: 120006708211
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Convergence Rate Analysis of Multi-Agent Positive Systems Under Formation Control: An Efficient Algorithm by Exploiting Positivity (2016)
  • Author(s): Y. Ebihara, D. Peaucelle, D. Arzelier
  • Journal Title: SICE Journal of Control, Measurement, and System Integration Volume: 9 Pages: 216-224
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] 複数のむだ時間を有する線形非負システムの支配極解析 (2015)
  • Author(s): 西尾直也，蛯原 義雄，萩原 朋道
  • Journal Title: システム制御情報学会論文誌 Volume: 28 Pages: 147-154
  • NAID: 130005088337
  • Peer Reviewed
• [Journal Article] 結合非負システムの解析と設計 (2015)
  • Author(s): 蛯原 義雄
  • Journal Title: システム/制御/情報 Volume: 59 Pages: 21-26
  • Peer Reviewed
• [Journal Article] Dominant Pole Analysis of Stable Time-Delay Positive Systems (2014)
  • Author(s): Y. Ebihara, D. Peaucelle, D. Arzelier, F. Gouaisbaut
  • Journal Title: IET Control Theory and Applications Volume: 8 Issue: 17 Pages: 1963-1971
  • DOI: 10.1049/iet-cta.2014.0375
  • Peer Reviewed
• [Journal Article] LMI Approach to Linear Positive System Analysis and Synthesis (2014)
  • Author(s): Y. Ebihara, D. Peaucelle, D. Arzelier
  • Journal Title: Systems and Control Letters Volume: 63 Pages: 50-56
  • DOI: 10.1016/j.sysconle.2013.11.001
  • Peer Reviewed
• [Journal Article] Stability Analysis of Discrete-time Interconnected Positive Systems using Weighted <i>l</i>₁-induced Norm (2013)
  • Author(s): 松村大気，蛯原 義雄，萩原 朋道
  • Journal Title: Transactions of the Institute of Systems, Control and Information Engineers Volume: 26 Issue: 10 Pages: 355-364
  • DOI: 10.5687/iscie.26.355
  • NAID: 130003396783
  • ISSN: 1342-5668, 2185-811X
  • Peer Reviewed
• [Journal Article] LMI-based Stability and <i>H</i>_&infin; Performance Analysis of Discrete-time Positive Systems (2013)
  • Author(s): 松村大気，蛯原 義雄，萩原 朋道
  • Journal Title: Transactions of the Institute of Systems, Control and Information Engineers Volume: 26 Issue: 1 Pages: 45-51
  • DOI: 10.5687/iscie.26.45
  • NAID: 10031165973
  • ISSN: 1342-5668, 2185-811X
  • Peer Reviewed
• [Presentation] Stability Analysis of Neutral Type Time-Delay Positive Systems with Commensurate Delays (2017)
  • Author(s): Y. Ebihara
  • Organizer: The 20th IFAC World Congress
  • Place of Presentation: Toulouse, France
  • Year and Date: 2017-07-09
  • Int'l Joint Research
• [Presentation] Persistence Analysis of Discrete-Time Interconnected Positive Systems and Its Application to Mobile Robot Formation (2017)
  • Author(s): S. Tanabe, H. Ichihara, Y. Ebihara, D. Peaucelle
  • Organizer: The 20th IFAC World Congress
  • Place of Presentation: Toulouse, France
  • Year and Date: 2017-07-09
  • Int'l Joint Research
• [Presentation] Formation Control of Mobile Robots Based on Interconnected Positive Systems (2017)
  • Author(s): H. Ichihara, S. Kajihara, Y. Ebihara, D. Peaucelle
  • Organizer: The 20th IFAC World Congress
  • Place of Presentation: Toulouse, France
  • Year and Date: 2017-07-09
  • Int'l Joint Research
• [Presentation] Stability Analysis of Neutral Type Time-Delay Positive Systems (2016)
  • Author(s): Y. Ebihara, N. Nishio, T. Hagiwara
  • Organizer: The 5th International Symposium on Positive Systems (POSTA 2016)
  • Place of Presentation: Rome, Italy
  • Year and Date: 2016-09-14
  • Int'l Joint Research
• [Presentation] 直達項を有する非負のサブシステムから構成される遅延結合システム の可容性と安定性 (2016)
  • Author(s): 西尾直也，蛯原義雄，萩原朋道
  • Organizer: 計測自動制御学会関西支部・システム制御情報学会若手研究発表会
  • Place of Presentation: 大阪，日本
  • Year and Date: 2016-01-08
• [Presentation] Analysis and Synthesis of Delay Interconnected Positive Systems with External Inputs and Formation Control of Moving Objects (2015)
  • Author(s): Y. Ebihara
  • Organizer: The 54 IEEE Conference on Decision and Control
  • Place of Presentation: Osaka, Japan
  • Year and Date: 2015-12-15
  • Int'l Joint Research
• [Presentation] 非負システムの解析・設計とその応用 (2015)
  • Author(s): 蛯原義雄
  • Organizer: 第58回自動制御連合講演会
  • Place of Presentation: 神戸，日本
  • Year and Date: 2015-11-14
• [Presentation] 直達項を有する非負のサブシステムで構成される遅延結合システムの 安定性解析 (2015)
  • Author(s): 西尾直也，蛯原義雄，萩原朋道
  • Organizer: 第58回自動制御連合講演会
  • Place of Presentation: 神戸，日本
  • Year and Date: 2015-11-14
• [Presentation] 非負システムの解析・設計とその応用 (2015)
  • Author(s): 蛯原義雄
  • Organizer: 電気三学会関西支部専門講習会
  • Place of Presentation: 大阪，日本
  • Year and Date: 2015-09-10
  • Invited
• [Presentation] Analysis and Synthesis of Interconnected Positive Systems with External Inputs (2015)
  • Author(s): Y. Ebihara, T. Matsumura, D. Peaucelle, D. Arzelier, T. Hagiwara
  • Organizer: The 8th IFAC Robust Control Design
  • Place of Presentation: Bratislava, Slovakia
  • Year and Date: 2015-07-08
  • Int'l Joint Research
• [Presentation] Convergence Rate Analysis of Delay Interconnected Positive Systems under Formation Control (2015)
  • Author(s): Y. Ebihara
  • Organizer: The 10th Asian Control Conference
  • Place of Presentation: Kota Kinabalu, Malaysia
  • Year and Date: 2015-05-31
  • Int'l Joint Research
• [Presentation] Persistence Analysis of Interconnected Positive Systems with Communication Delays (2014)
  • Author(s): Y. Ebihara, D. Peaucelle, D. Arzelier
  • Organizer: The 53rd IEEE Conference on Decision and Control
  • Place of Presentation: Los Angeles, California, USA
  • Year and Date: 2014-12-15 – 2014-12-17
• [Presentation] Efficient Convergence Rate Analysis of Multi-Agent Positive Systems Under Formation Control (2014)
  • Author(s): Y. Ebihara, D. Peaucelle, D. Arzelier
  • Organizer: The 19th IFAC World Congress
  • Place of Presentation: Cape Town, South Africa
  • Year and Date: 2014-08-24 – 2014-08-29
• [Presentation] Dominant Pole of Positive Systems with Time-Delays (2014)
  • Author(s): Y. Ebihara, D. Peaucelle, D. Arzelier, F. Gouaisbaut
  • Organizer: The 13th European Control Conference
  • Place of Presentation: Strasbourg, France
  • Year and Date: 2014-06-24 – 2014-06-27
• [Presentation] Dominant Pole of Positive Systems with Time-Delays (2014)
  • Author(s): Y. Ebihara, D. Peaucelle, D. Arzelier, F. Gouaisbaut
  • Organizer: European Control Conference
  • Place of Presentation: Strasbourg, France
• [Presentation] Efficient Convergence Rate Analysis of Multi-Agent Positive Systems Under Formation Control (2014)
  • Author(s): Y. Ebihara, D. Peaucelle, D. Arzelier
  • Organizer: IFAC World Congress
  • Place of Presentation: Cape Town, South Africa
• [Presentation] 非負システムの解析と設計 (2014)
  • Author(s): 蛯原義雄
  • Organizer: 第１回SICE制御部門マルチシンポジウム
  • Place of Presentation: 電気通信大学（東京都調布市）
  • Invited
• [Presentation] Analysis and Synthesis of Interconnected Positive Systems with Switching (2013)
  • Author(s): Y. Ebihara, D. Peaucelle, D. Arzelier
  • Organizer: IEEE Conference on Decision and Control
  • Place of Presentation: Florence, Italy
• [Presentation] Stability and Persistence Analysis of Large Scale Interconnected Positive Systems (2013)
  • Author(s): Y. Ebihara, D. Peaucelle, D. Arzelier
  • Organizer: European Control Conference
  • Place of Presentation: Zurich, Switzerland
• [Book] Positive Systems - Results from POSTA 2016 (仮題) (2017)
  • Author(s): Filippo Cacace (Editor)
  • Total Pages: 14
  • Publisher: Springer