Analysis and Synthesis of Dynamic Systems with Positive Characteristics

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 Journalof 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.

Chapter 1. Introduction.- Chapter 2. Positive Systems with Retarded Delays.- Chapter 3. Positive Systems with Distributed Delays.- Chapter 4. Controller Synthesis of Positive Systems.- Chapter 5. Model Reduction for Discrete-time Positive Systems with Inhomogeneous Initial Conditions.- Chapter 6. Linear Delay Systems with Cone Invariance.- Chapter 7. Positivity and Stability of Coupled Differential-difference Equations with Time-varying Delays.- chapter 8. Conclusion and Future Work.