Analysis and Synthesis of Dynamic Systems with Positive Characteristics

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 Di erential-di erence Equations with Time-varying Delays.- chapter 8. Conclusion and Future Work.

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