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Analysis and Synthesis of Dynamic Systems with Positive Characteristics
暫譯: 具有正特性的動態系統分析與綜合

Shen, Jun

  • 出版商: Springer
  • 出版日期: 2018-07-29
  • 售價: $4,600
  • 貴賓價: 9.5$4,370
  • 語言: 英文
  • 頁數: 123
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 981109991X
  • ISBN-13: 9789811099915
  • 海外代購書籍(需單獨結帳)

商品描述

This thesis develops several systematic and unified approaches for analyzing dynamic systems with positive characteristics or a more general cone invariance property. Based on these analysis results, it uses linear programming tools to address static output feedback synthesis problems with a focus on optimal gain performances. Owing to their low computational complexity, the established controller design algorithms are applicable for large-scale systems. The theory and control strategies developed will not only be useful in handling large-scale positive delay systems with improved solvability and at lower cost, but also further our understanding of the system characteristics in other related areas, such as distributed coordination of networked multi-agent systems, formation control of multiple robots.

商品描述(中文翻譯)

本論文發展了幾種系統化且統一的方法,用於分析具有正特徵或更一般的錐不變性質的動態系統。基於這些分析結果,本文利用線性規劃工具來解決靜態輸出反饋合成問題,重點在於最佳增益性能。由於其計算複雜度低,所建立的控制器設計演算法適用於大規模系統。所發展的理論和控制策略不僅對於處理具有改善可解性和較低成本的大規模正延遲系統有用,還能進一步增進我們對其他相關領域系統特徵的理解,例如網絡多智能體系統的分散協調和多機器人編隊控制。

作者簡介

Previous degrees2011.9-2015.8 The University of Hong Kong, Department of Mechanical Engineering, PhDSupervisor: Prof. James Lam2008.9-2011.4 Southeast University, Department of Mathematics, MasterSupervisor: Prof. Jinde Cao2004.9-2008.7 Southeast University, Department of Mathematics, Bachelor
AwardsUniversity Postgraduate Fellowship, 2011, HKUMechanical Engineering Outstanding Research Postgraduate Student, 2014, HKUOutstanding Research Postgraduate Student, 2016, HKU
PublicationsJournal Papers[1] Jun Shen, James Lam. Some extensions on the bounded real lemma for positive systems. IEEE Transactions on Automatic Control, 2015, DOI: 10.1109/TAC.2016.2606426.[2] Jun Shen, James Lam. On the decay rate of discrete-time linear systems with cone invariance. IEEE Transactions on Automatic Control, 2015, DOI: 10.1109/TAC.2016.2610104.[3] Jun Shen, James Lam. Input-output gain analysis for linear systems on cones. Automatica. Accepted for publication.[4] Jun Shen, James Lam. Stability and performance analysis for positive fractional-order systems with time-varying delays. IEEE Transactions on Automatic Control, 2016, 61(9), 2676-2681.[5] Jun Shen, James Lam. Static output-feedback stabilization with optimal L1-gain for positive linear systems. Automatica, 63: 248-253, 2016.[6] Jun Shen, Wei Xing Zheng. Positivity and stability of coupled differential-difference equations with time-varying delays. Automatica, 57: 123-127, 2015.[7] Jun Shen, Wei Xing Zheng. Stability analysis of linear delay systems with cone invariance. Automatica, 53: 30-36, 2015.[8] Jun Shen, James Lam. Improved results on H∞ model reduction for continuous-time linear systems over finite frequency ranges. Automatica, 53: 79-84, 2015.[9] Jun Shen, James Lam. On static output-feedback stabilization for multi-input multi-output positive systems. International Journal of Robust and Nonlinear Control, 25(16): 3154-3162, 2015.[10] Jun Shen, James Lam. Containment control of multi-agent systems with unbounded communication delays. To appear in International Journal of Systems Science, 2014. DOI: 10.1080/00207721.2014.971092.[11] Jun Shen, James Lam. ℓ∞/L∞-gain analysis for positive linear systems with unbounded time-varying delays. IEEE Transactions on Automatic Control, 60 (3), 857-862, 2015.[12] Jun Shen, James Lam. Non-existence of finite-time stable equilibria in fractional-order nonlinear systems. Automatica, 50(2): 547-551, 2014.[13] Jun Shen, James Lam. L∞-gain analysis for positive systems with distributed delays. Automatica, 50(1): 175-179, 2014.[14] Jun Shen, James Lam. H∞ model reduction for discrete-time positive systems with inhomogeneous initial conditions. International Journal of Robust and Nonlinear Control, 25 (1): 88-102, 2015.[15] Jun Shen, James Lam. On ℓ∞ and L∞ gains for positive systems with bounded time-varying delays. International Journal of Systems Science, 46(11): 1953-1960, 2015.[16] Jun Shen, James Lam. H∞ model reduction for positive fractional order systems. Asian Journal of Control, 16(2): 441-450, 2014.[17] Jun Shen, James Lam. State feedback H∞ control of commensurate fractional-order systems. International Journal of Systems Science, 45(3): 363-372, 2014.
Book Chapter[B1] Jianquan Lu, Jun Shen, Jinde Cao, and Jürgen Kurths. Consensus of networked multi-agent systems with delays and fractional-order dynamics, in "Consensus and Synchronization in Complex Networks", 69-110, Berlin: Springer-Verlag, 2013.

作者簡介(中文翻譯)

前學位
2011.9-2015.8 香港大學,機械工程系,博士
指導教授:James Lam 教授
2008.9-2011.4 東南大學,數學系,碩士
指導教授:Jinde Cao 教授
2004.9-2008.7 東南大學,數學系,學士

獎項
2011年,香港大學研究生獎學金
2014年,香港大學機械工程傑出研究生
2016年,香港大學傑出研究生

出版物
期刊論文
[1] Jun Shen, James Lam. Some extensions on the bounded real lemma for positive systems. IEEE Transactions on Automatic Control, 2015, DOI: 10.1109/TAC.2016.2606426.
[2] Jun Shen, James Lam. On the decay rate of discrete-time linear systems with cone invariance. IEEE Transactions on Automatic Control, 2015, DOI: 10.1109/TAC.2016.2610104.
[3] Jun Shen, James Lam. Input-output gain analysis for linear systems on cones. Automatica. Accepted for publication.
[4] Jun Shen, James Lam. Stability and performance analysis for positive fractional-order systems with time-varying delays. IEEE Transactions on Automatic Control, 2016, 61(9), 2676-2681.
[5] Jun Shen, James Lam. Static output-feedback stabilization with optimal L1-gain for positive linear systems. Automatica, 63: 248-253, 2016.
[6] Jun Shen, Wei Xing Zheng. Positivity and stability of coupled differential-difference equations with time-varying delays. Automatica, 57: 123-127, 2015.
[7] Jun Shen, Wei Xing Zheng. Stability analysis of linear delay systems with cone invariance. Automatica, 53: 30-36, 2015.
[8] Jun Shen, James Lam. Improved results on H∞ model reduction for continuous-time linear systems over finite frequency ranges. Automatica, 53: 79-84, 2015.
[9] Jun Shen, James Lam. On static output-feedback stabilization for multi-input multi-output positive systems. International Journal of Robust and Nonlinear Control, 25(16): 3154-3162, 2015.
[10] Jun Shen, James Lam. Containment control of multi-agent systems with unbounded communication delays. To appear in International Journal of Systems Science, 2014. DOI: 10.1080/00207721.2014.971092.
[11] Jun Shen, James Lam. ℓ∞/L∞-gain analysis for positive linear systems with unbounded time-varying delays. IEEE Transactions on Automatic Control, 60 (3), 857-862, 2015.
[12] Jun Shen, James Lam. Non-existence of finite-time stable equilibria in fractional-order nonlinear systems. Automatica, 50(2): 547-551, 2014.
[13] Jun Shen, James Lam. L∞-gain analysis for positive systems with distributed delays. Automatica, 50(1): 175-179, 2014.
[14] Jun Shen, James Lam. H∞ model reduction for discrete-time positive systems with inhomogeneous initial conditions. International Journal of Robust and Nonlinear Control, 25 (1): 88-102, 2015.
[15] Jun Shen, James Lam. On ℓ∞ and L∞ gains for positive systems with bounded time-varying delays. International Journal of Systems Science, 46(11): 1953-1960, 2015.
[16] Jun Shen, James Lam. H∞ model reduction for positive fractional order systems. Asian Journal of Control, 16(2): 441-450, 2014.
[17] Jun Shen, James Lam. State feedback H∞ control of commensurate fractional-order systems. International Journal of Systems Science, 45(3): 363-372, 2014.

書籍章節
[B1] Jianquan Lu, Jun Shen, Jinde Cao, and Jürgen Kurths. Consensus of networked multi-agent systems with delays and fractional-order dynamics, in 'Consensus and Synchronization in Complex Networks', 69-110, Berlin: Springer-Verlag, 2013.