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Analysis and Synthesis of Dynamic Systems with Positive Characteristics (eBook, PDF)

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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 ...

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Previous degrees

2011.9-2015.8 The University of Hong Kong, Department of Mechanical Engineering, PhD

Supervisor: Prof. James Lam

2008.9-2011.4 Southeast University, Department of Mathematics, Master

Supervisor: Prof. Jinde Cao

2004.9-2008.7 Southeast University, Department of Mathematics, Bachelor

Awards

University Postgraduate Fellowship, 2011, HKU

Mechanical Engineering Outstanding Research Postgraduate Student, 2014, HKU

Outstanding Research Postgraduate Student, 2016, HKU

Publications

Journal 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 H8 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. l8/L8-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. L8-gain analysis for positive systems with distributed delays. Automatica, 50(1): 175-179, 2014.

[14] Jun Shen, James Lam. H8 model reduction for discrete-time positive systems with inhomogeneous initial conditions. International Journalof Robust and Nonlinear Control, 25 (1): 88-102, 2015.

[15] Jun Shen, James Lam. On l8 and L8 gains for positive systems with bounded time-varying delays. International Journal of Systems Science, 46(11): 1953-1960, 2015.

[16] Jun Shen, James Lam. H8 model reduction for positive fractional order systems. Asian Journal of Control, 16(2): 441-450, 2014.

[17] Jun Shen, James Lam. State feedback H8 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.