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

- W. Liu, Elementary
Feedback Stabilization of the Linear Reaction-convection-diffusion
Equations and the Wave Equations, Mathématiques et Applications ,
Vol. 66, Springer, 2010. Order at
**Amazon.com**

- Weijiu Liu, Fusheng Tang, and Jingvoon
Chen, Designing Dynamical Output Feedback Controllers for Store-operated
Ca
^{2+}Entry,*Mathematical Biosciences*, in press, 2010. - 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. - Weijiu Liu, Mixing Enhancement in Enzymatic Chemical
Reactions by Optimal Tuning of Flows.
*Systems and Control Letters*, 58 (2009) 834-840. - Weijiu Liu, ChingChun Hsin, and Fusheng Tang, A Molecular
Mathematical Model of Glucose Mobilization and Uptake,
*Mathematical Biosciences*, 221, 2009, 121-129. - Luis R. Suazo and Weijiu Liu, Controlling the Motion of
Charged Particles in a Vacuum Electromagnetic Field from Boundary,
*Automatica*, 45, 2009, 1012-1019. - 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. - Weijiu Liu and Fusheng Tang,
*Journal of Theoretical Biology*, 252, 2008, 608-620. - W. Liu, Mixing enhancement by optimal flow advection,
*SIAM J. Control Optim*., 47, no. 2, (2008), 624-638. PDF - 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 - 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 - 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. - M. R. Alam, W. Liu, & G.
Haller, Closed-Loop Separation Control: An Analytic Approach.
*Physics of Fluids,*18, 043601, 2006. [PDF] - W. Liu, Does a fast mixer really exist?
*Physical Review E*. 72, 016312 (2005). [PDF]. - 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] - 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] - W. Liu, Rapid Boundary Feedback Stabilization of an
Unstable Heat Equation.
*SIAM J. Control Optim*., 42, No.3, (2003), 1033-1043. [PDF] - 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] - 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] - 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] - 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] - W. Liu, Stabilization and controllability for the
transmission wave equation.
*IEEE Transcation on Automatic Control*, 46 (2001), no. 12, 1900-1907. [PDF] - 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] - 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] - 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] - W. Liu and M. Krstic,
Stability Enhancement by Boundary Control in the Kuramoto-Sivashinsky
Equation.
*Nonlinear Anal., TMA*43 (4), 2001, 485-507. [PDF] - 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] - 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] - 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] - 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] - W. Liu, Robustness of boundary feedback controls for a
flexible beam.
*Asymptotic Anal.*24(2), 2000, 91-105. [PDF] - 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] - W. Liu, Exact Distributed Controllability for the Semilinear Wave Equation
*Portuguese Math .*, 57(4), 2000, 493-508. [PDF] - 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] - W. Liu and E. Zuazua, Decay
rates for dissipative wave equations
*Ricerche**di Matematica ,*48, 1999, 61-75. [PDF] - W. Liu, The exponential stabilization of the higher
dimensional linear system of thermoviscoelasticity.
*J. Math. Pures Appl.*, 77 (4) (1998), 355-386. [PDF] - W. Liu, Local boundary controllability for the semilinear plate equation.
*Comm. Partial Differential Equations,*23 (1998), 201-221. [PDF] - 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] - 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] - W. Liu and G.H. Williams, Exact Neumann boundary
controllability for second order hyperbolic equations
*Colloq. Math*., 76 (1998), 117-142. [PDF] - W. Liu, Partial exact controllability and exponential
stability of the higher dimensional linear thermoelasticity.
*ESAIM Control Optim. Calc. Var.*, 3 (1998), 23-48. [PDF] - W. Liu and G.H. Williams,
Exact internal controllability for the semilinear
heat equation.
*J. Math. Anal. Appl*., 211(1997), 258-272. [PDF] - W. Liu, Fixed point theorems and eigenvalues
for demicompact 1-set contractive mappings,
*Pure Appl. Math.,*10 (1994), no.1, 41-44. - 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. - 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. - W. Liu, The eigenvalues and eigenvectors of nonlinear Hammerstein
integral equations,
*Sichuan Shifan Daxue Xuebao Ziran Kexue Ban,*8 (1985), no.2, 92-97.

- 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.
- 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.
- 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.
- W. Liu and M. Krstic,
``Estimation of viscosity and controller strengthening in boundary
stabilization of Burgers' equation,'' 2000 American Control Conference.
- W. Liu and M. Krstic,
``Coping with actuator dynamics using backstepping
for boundary stabilization of Burgers' equation,'' 2000 American Control
Conference.
- W. Liu and M. Krstic,
``Controlling nonlinear water waves: boundary stabilization of the Korteweg-de Vries-Burgers
equation,'' 1999 American Control Conference.
- W. Liu and M. Krstic,
``Boundary control of a Kuramoto-Sivashinsky
equation with low anti-dissipation,'' 1999 American Control Conference.