Research @ Faculty of Science 2023

DEPARTMENT OF APPLIED MATHEMATICS 84 Email joseph.lee@polyu.edu.hk Qualification BSc (The University of Western Australia) PhD (The University of Western Australia) ORCID ID 0000-0002-4617-4271 Dr LEE Heung-wing Joseph Associate Professor Research Overview My research interests include Computational Optimal Controls, Optimal Discrete-valued Controls, Control of Chaotic Systems, Internet Traffic Control, and Evolutionary Dynamics. My past researches included the development of theories and applications of optimal control, i.e. the Control Parametrization Enhancing Technique, sensor scheduling problem, and the isoperimetric problem. My current research focuses on evolutionary dynamics in iterated public goods game. My future research concentrates on the coevolution of contingent cooperation and phenotypic diversity, and in the evolution of parochial altruism by investigating the evolution of cooperation in iterated public goods game, and the coevolutionary dynamics of contingent cooperation and phenotypic diversity. Representative Publications • H.W. J. Lee, Kar Hung Wong, and Y. C. E. Lee, Optimal Control of Fish-Feeding in a Three-Dimensional Calm Freshwater Pond Considering Environmental Concern, Journal of Industrial and Management Optimization, 19(2), pp. 932–960, 2023 • Wong, Kh., Lee, Yc.E., H.W. J. Lee, Optimal transmission of messages in computer networks – an optimal control problem involving control-dependent time-delayed arguments. J. Inequal Appl, 89, 2022 • Wang, X., Gu, L., H.W. J. Lee, & Zhang, G., Quantum tensor singular value decomposition, J. Phys. Commun., 5, 075001, 2021 • T.Wu, L.Wang, and H.W. J. Lee, Evolution of joint cooperation under phenotypic variations, Scientific Reports, 8, 4137, 2018 • G.S.Jing, G.F. Zhang, H.W. J. Lee and L. Wang, Weak Rigidity Theory and Its Application to Formation Stabilization, SIAM Journal on Control and Optimization, 56, pp. 22482273, 2018 • Y.C.E. Lee, Chi Kin Chan, A. Langevin, and H.W. J. Lee, Integrated Inventory-Transportation Model by Synchronizing Delivery and Production Cycles, Transportation Research Part E, 91, pp. 68-89, 2016 • H.W. J. Lee, Chi Kin Chan, K. Yau, K.H. Wong, C. Myburgh, Control Parametrization and Finite Element Method for Controlling Multi-Species Reactive Transport in a Circular Pool, Journal of Industrial and Management Optimization, 9, pp. 505-524, 2013 • G.F. Zhang, H.W. J. Lee, B. Huang, H. Zhang, Coherent Feedback Control of Linear Quantum Optical Systems via Squeezing and Phase Shift, SIAM J. Control Optim., 50, pp. 2130-2150, 2012 • Chuanxin Bian, G.F. Zhang, H.W. J. Lee, Squeezing enhancement of degenerate parametric amplifier via coherent feedback control, International Journal of Control, 85, pp. 1865-1875, 2012 • K.H. Wong, H.W. J. Lee, and Chi Kin Chan, Control Parametrization and Finite Element Method for Controlling Multi-species Reactive Transport in a Rectangular Diffuser Unit, JOTA, 150, pp. 118-141, 2011 • David M. Walker, David Allingham, H.W. J. Lee, and Michael Small, Parameter Inference in Small World Network Disease Models with Approximate Bayesian Computational Methods, Physica A, 398, pp. 540-548, 2010 • Yuquan Ye, Chi Kin Chan, and H.W. J. Lee, The Existence Results for Obstacle Optimal Control Problems, Applied Mathematics and Computation, 214, pp. 451-456, 2009 • Y.C.E. Lee, H.W. J. Lee, Optimal Control Solutions to Maximum Volume lsoperimetric Pillars Problem, Automatica, 44, pp. 1201-1208, 2008 • Chi Kin Chan, H.W. J. Lee, and K.H. Wong, Optimal Feedback Production for a Two-level Supply Chain, International Journal of Production Economics, 113, pp. 619-625, 2008 • H.W. J. Lee and K.H. Wong, Semi-infinite programming approach to nonlinear time-delayed optimal control problems with linear continuous constraints, Optimization Methods and Software (OMS), 21, pp. 679-691, 2006 • H.W. J. Lee and K.L. Teo, Control Parametrization Enhancing Technique for solving a special class of ODE with State Dependent Switch, Journal of Optimizationm Theory and Applications, 118, pp. 55-66, 2003 • H.W. J. Lee, K.L. Teo, A.E.B. Lim, Sensor scheduling in continuous time, Automatica , 37, pp. 2017-2023, 2001 • H.W. J. Lee, K.L. Teo, L.S. Jennings, V. Rehbock, Control Parametrization Enhancing Technique for Optimal DiscreteValued Control Problems, Automatica, 35, pp. 1401-1407, 1999

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