Publications

[ Math Review] [ Science Citation Index ][Google Scholar]

Textbook

Journal Papers

  1. Weijiu Liu, Fusheng Tang, and Jingvoon Chen, Designing Dynamical Output Feedback Controllers for Store-operated Ca2+ Entry, Mathematical Biosciences, in press, 2010.
  2. Fusheng Tang and Weijiu Liu, An Age-dependent Feedback Control Model for Calcium in Yeast Cells, Journal of Mathematical Biology, 60 (6), 2010, 849-879.
  3. Weijiu Liu, Mixing Enhancement in Enzymatic Chemical Reactions by Optimal Tuning of Flows. Systems and Control Letters, 58 (2009) 834-840.
  4. Weijiu Liu, ChingChun Hsin, and Fusheng Tang, A Molecular Mathematical Model of Glucose Mobilization and Uptake, Mathematical Biosciences, 221, 2009, 121-129.
  5. Luis R. Suazo and Weijiu Liu, Controlling the Motion of Charged Particles in a Vacuum Electromagnetic Field from Boundary, Automatica, 45, 2009, 1012-1019.
  6. Yuanyou Tan, John M Bush, Weijiu Liu, Fusheng Tang, Identification of longevity genes with systems biology approaches, Computational Biology and Chemistry: Advances and Applications, 2, 2009, 49-56.
  7. Weijiu Liu and Fusheng Tang, Modeling a Simplified Regulatory System of Blood Glucose at Molecular Levels, Journal of Theoretical Biology, 252, 2008, 608-620. 
  8. W. Liu, Mixing enhancement by optimal flow advection, SIAM J. Control Optim., 47,  no. 2, (2008), 624-638. PDF
  9. Ramesh Garimella, Uma Garimella, and Weijiu Liu, A Theoretic Control Approach in a Signal-controlled Metabolic Pathway, Mathematical Biosciences and Engineering, 4, no.3, (2007), 471-488. PDF
  10. W. Liu and M. Krstic, Boundary Feedback Stabilization of Homogeneous Equilibriums in Unstable Fluid Mixtures International Journal of Control, 8, no. 6,  2007, 1-8.  PDF
  11. Luis Jimenez, Christopher Pickens, and Weijiu Liu, Mathematical Determination of Competitive Feedback Inhibition Rates in Branched Metabolic Pathways,  Journal of Mathematical Sciences, vol 1, no. 1,  2007.
  12. M. R. Alam, W. Liu, & G. Haller, Closed-Loop Separation Control: An Analytic Approach.  Physics of Fluids, 18, 043601, 2006. [PDF]
  13. W. Liu, Does a fast mixer really exist? Physical Review E . 72, 016312 (2005). [PDF].
  14. W. Liu and G. Haller, Inertial manifold and completeness of eigenmodes for unsteady magnetic dynamos. Physica D, Volume 194, Issues 3-4 (2004), 297-319. [PDF]
  15. W. Liu and G. Haller, Strange eigenmodes and decay of variance in the mixing of diffusive tracers. Physica D, Volume 188, Issues 1-2 (15 January 2004), 1-39. [PDF]
  16. W. Liu, Rapid Boundary Feedback Stabilization of an Unstable Heat Equation. SIAM J. Control Optim., 42, No.3, (2003), 1033-1043. [PDF]
  17. W. Liu and J. Clements, On solutions of evolution equations with proportional time delay. International Journal of Differential Equations and Applications , 4 (2002), no. 3, 229--254. [PDF]
  18. W. Liu, Optimal control of a rotating body beam. ESAIM Control Optim. Calc. Var , 2002, Vol. 7, pp. 157-178. To Science Citation Index [PDF]
  19. W. Liu and M. Krstic, Global boundary stabilization of the Korteweg-de Vries-Burgers equation Computational and Applied Math., 21 (2002), no. 1, 315-354. [PDF]
  20. W. Liu , Asymptotic behavior of solutions of Time-delayed Burgers' Equation Discrete and Continuous Dynamical Systems, Series B,, Series B, 2, (2002), no.1 47-56. [PDF]
  21. W. Liu, Stabilization and controllability for the transmission wave equation. IEEE Transcation on Automatic Control, 46 (2001), no. 12, 1900-1907. [PDF]
  22. A. Balogh, W. Liu and M. Krstic, Stability Enhancement by Boundary Control in 2D Channel Flow. IEEE Transcation on Automatic Control, 46 (2001), no. 11, 1696--1711. [PDF]
  23. D. M. Boskovic, M. Krstic and W. Liu, Boundary control of an unstable heat equation via measurement of domain-averged temperature. IEEE Transcation on Automatic Control, 46 (2001), no. 12, 2022-2028. [PDF]
  24. W. Liu and E. Zuazua, Uniform stabilization of the higher dimensional system of thermoelasticity with a nonlinear boundary feedback.  Quarterly Appl. Math. 59 (2001), no. 2, 269--314. [PDF]
  25. W. Liu and M. Krstic, Stability Enhancement by Boundary Control in the Kuramoto-Sivashinsky Equation. Nonlinear Anal., TMA 43 (4), 2001, 485-507. [PDF]
  26. W. Liu and M. Krstic, Adaptive Control of Burgers' Equation with Unknown Viscosity International Journal of Adaptive Control and Signal Processing , 15(7), 2001, 745-766. [PDF]
  27. W. Liu and M. Krsti\'c, Backstepping Boundary Control of Burgers' Equation with Actuator Dynamics. Systems and Control Letters, 41 (4) 2000, 291 -- 303. [PDF]
  28. W. Liu and G.H. Williams, Exact controllability for problems of transmission for the plate equation with lower-order terms. Quart. Appl. Math., 58 (2000), 37-68. [PDF]
  29. W. Liu and M. Krstic, Strong stabilization of the system of linear elasticity by a Dirichlet boundary feedback. IMA J. Appl. Math. , 65 (2000), 109-121. [PDF]
  30. W. Liu, Robustness of boundary feedback controls for a flexible beam. Asymptotic Anal. 24(2), 2000, 91-105. [PDF]
  31. W. Liu, Compactness of the difference between the thermoviscoelastic semigroup and its decoupled semigroup. Rocky Mountain Journal of Mathematics, Volume 30, No. 3, 2000, 1039-1056. [PDF]
  32. W. Liu, Exact Distributed Controllability for the Semilinear Wave Equation Portuguese Math ., 57(4), 2000, 493-508. [PDF]
  33. W. Liu and G.H. Williams, Exact Neumann boundary controllability for problems of transmission of the wave equation Glasgow Math. J., 41, 1999, 125-139. [PDF]
  34. W. Liu and E. Zuazua, Decay rates for dissipative wave equations Ricerche di Matematica , 48, 1999, 61-75. [PDF]
  35. W. Liu, The exponential stabilization of the higher dimensional linear system of thermoviscoelasticity. J. Math. Pures Appl. , 77 (4) (1998), 355-386. [PDF]
  36. W. Liu, Local boundary controllability for the semilinear plate equation. Comm. Partial Differential Equations, 23 (1998), 201-221. [PDF] 
  37. W. Liu and G.H. Williams, Exponential stability of the problem of transmission of the wave equation Bull. Australian Math. Soc., 57 (1998), 305-327. [PDF]
  38. W. Liu and G.H. Williams, Partial exact controllability for the linear thermoviscoelastic model Electronic J. Differential Equations., 1998(1998), no. 17, 1-11. [PDF]
  39. W. Liu and G.H. Williams, Exact Neumann boundary controllability for second order hyperbolic equations Colloq. Math., 76 (1998), 117-142. [PDF]
  40. W. Liu, Partial exact controllability and exponential stability of the higher dimensional linear thermoelasticity. ESAIM Control Optim. Calc. Var., 3 (1998), 23-48. [PDF]
  41. W. Liu and G.H. Williams, Exact internal controllability for the semilinear heat equation. J. Math. Anal. Appl., 211(1997), 258-272. [PDF]
  42. W. Liu, Fixed point theorems and eigenvalues for demicompact 1-set contractive mappings, Pure Appl. Math., 10 (1994), no.1, 41-44.
  43. W. Liu, Positive fixed point theorems for beta-semidifferentiable k-set contractive mappings with applications to an infectious disease model,  Gaoxiao Yingyong Shuxue Xuebao., 7 (1992), no.1, 91-101.
  44. W. Liu , Nonzero solutions of the k-set contractive operator equation x=Tx+lambda Fx in cones, J. Engineering Math., 8 (1991), no. 1, 119-121.
  45. W. Liu,  The eigenvalues and eigenvectors of nonlinear Hammerstein integral equations, Sichuan Shifan Daxue Xuebao Ziran Kexue Ban, 8 (1985), no.2, 92-97.

Conference Papers

  1. W. Liu and F. Tang, An Output Feedback Controller for Store-Operated Calcium Entry  and Extracellular Calcium Sensing   in Yeast Cells, Proceedings of the 22nd Chinese Control and Decision Conference, May 26-28, 2010,  Xuzhou, China.
  2. W. Liu, Mixing Enhancement via Flow Optimization, 45th IEEE Conference on Decision and Control, December 13-15, 2006, Manchester Grand Hyatt Hotel, San Diego, CA, USA.
  3. Weijiu Liu, Optimal boundary obstacle of the string vibration. Control Applications, 2000. Proceedings of the 2000 IEEE International Conference on. 2000, Page(s):959 - 964.
  4. W. Liu and M. Krstic, ``Estimation of viscosity and controller strengthening in boundary stabilization of Burgers' equation,'' 2000 American Control Conference.
  5. W. Liu and M. Krstic, ``Coping with actuator dynamics using backstepping for boundary stabilization of Burgers' equation,'' 2000 American Control Conference.
  6. W.  Liu and M. Krstic, ``Controlling nonlinear water waves: boundary stabilization of the Korteweg-de Vries-Burgers equation,'' 1999 American Control Conference.
  7. W. Liu and M. Krstic, ``Boundary control of a Kuramoto-Sivashinsky equation with low anti-dissipation,'' 1999 American Control Conference.