My Publications I

Publications in Refereed International Journals:

  

  1.  G.Q.Xu  and  B.Z.Guo, Riesz basis property of evolution equations in Hilbert spaces and application to a coupled string equation, ¡¶ SIAM J.Control & Optim.¡·, to appear.
  2. M.Li, B.Z.Guo and S.Piskarev, Compactness and norm continuity of the difference of two cosine functions,¡¶Taiwaness Journal of Mathematics¡·, to appear. 
  3. B.Z.Guo, Riesz basis approach to the tracking control of a flexible beam with a tip rigid body without Dissipativity, ¡¶Optimization Methods and Software¡·, 17(4)(2002), 655-681. 
  4. G.Gupur and B.Z.Guo, Asymptotic property of the solution of exhaustive-service M/M/1 queueing model with single vacation, ¡¶International Journal of Differential Equations and Applications¡·, 6(1)(2002), 29-51. 
  5. B.Z.Guo, J.Q.Han and F.B.Xi, A linear tracking-differentiator and application to online estimation of the frequency of a sinusoidal signal with random noise perturbation, ¡¶Int.J.of Systems Science¡·, 33(5)(2002), 351-358. 
  6. B.Z.Guo, Basis property of a Rayleigh beam with boundary stabilization, ¡¶J.of Optim.Theory and Appl.¡·, 
    112(3)(2002), 529-547. 
  7. B.Z.Guo and Y.H.Luo, Riesz basis property of a second order hyperbolic system with collocated scalar input/output, ¡¶IEEE 
    Trans.on Automatic Control¡·, 47(4)(2002), 693-698. 
  8. B.Z.Guo and Y.H.Luo, Controllability and stability of a second order hyperbolic system with collocated sensor/actuator, ¡¶Systems and Control Letters¡·, 46(1)(2002),45-65. 
  9. B.Z.Guo, On boundary control of a hybrid system with variable 
    coefficients ,¡¶Journal of Optimization Theory and Applications¡·, 114(2)(2002), 373-395. 
  10. B.Z.Guo, Riesz basis property and exponential stability of controlled Euler-Bernoulli beam equations with variable coefficients,¡¶SIAM J.Control & Optim.¡·,40(6)(2002),1905 - 1923. 
  11. B.Z.Guo, Further rersult on a one-dimentional linear thermoelastic equation with Dirichlet-Dirichlet boundary condition, ¡¶Australia and New Zealand Industrial and Applied Mathematics¡·, 43(2002), part 3, 449-462. 
  12. B.Z.Guo and Z.H.Luo, Disturbance attenuation for beam equations, 
    ¡¶Asian Journal of Control¡·, 3(4)(2001), 342-351. 
  13. B.Z.Guo and R.Yu, The Riesz basis property of discrete operators and application to a Euler-Bernoulli beam equation with linear feedback control, ¡¶IMA J.of Math.control and Information¡·, 18(2001), 241-251. 
  14. B.Z.Guo, Riesz basis approach to the stabilization of a flexible beam with a tip mass, ¡¶SIAM J.Control Optim.¡·, 39(2001), 1736-1747.
  15. B.Z.Guo and K.Y.Chan, Riesz basis generation, eigenvalues distribution, and exponential stability for a Euler-Bernoulli beam with joint feedback control, ¡¶Revista Mathematica Complutense¡·,14(1)(2001), 205-229. 
  16. B.Z.Guo, X.Xia, K.Craig and F.R.Camisani-Calzolari,A semi-discrete approach to modelling and control of the continuous casting process, ¡¶Steel Research¡·, 71(2000), 220-227.  
  17. W.D.Zhu,  B.Z.Guo and C.D.Jr Mote, Stabilization of a translating 
    tensioned beam through a pointwise control force, ¡¶ASME J.of Dynamic Systems, Measurement, and Control¡·, 122(2000) 322-331. 
  18. B.Z.Guo, and J.X.Wang, The unbounded energy solution for free vibration of an axially moving string, ¡¶J. Vibration and Control¡·, 6(5)(2000),651-665. 
  19. B.Z.Guo, Asymptotic behavior of the energy of vibration of a moving string with varying length, ¡¶J.of Vibration and Control¡·, 6(2000),491-507. 
  20. B.Z.Guo and C.Z.Xu, The spectrum-determined growth condition of a 
    vibration cable with a tip mass,¡¶IEEE Trans. on Auto. Control¡·, 
    45(2000), 89-93. 
  21. B.Z.Guo and J.C.Chen, The first real eigenvalue of a one-dimensional linear thermoelastic system,¡¶J.of Computer and 
    Math.Appl.¡·,38(11/12)(1999), 249-256. 
  22. B.Z.Guo, On the exponential stability of $C_0$-semigroups on 
    Banach spaces with compact perturbations,¡¶Semigroup Forum¡·, 
    59(2)(1999), 190-196. 
  23. W.D.Zhu and B.Z.Guo, Free and forced vibration of an axially moving string with an arbitrary velocity profile, ¡¶ASME J.of Applied Mechanics¡·, 65(4)(1998), 901-907.
  24. B.Z.Guo and Z.H.Luo, On the exponential stability of an initial- 
    boundary equation arising from strain feedback control of flexible robot arms with rigid offset, ¡¶Int. Journal of Control}¡·, 69(2)(1998), 227-238. 
  25. B.Z.Guo, A characterization of the exponential stability of a 
    family of $C_0$-semigroups by infinitesimal generators, 
    ¡¶Semigroup Forum¡·, 56(1998), 78-83. 
  26. W.D.Zhu and B.Z.Guo, On Hybrid boundary control of flexible systems, ¡¶ASME J.of Dynamic Systems, Measurement, and Control¡·, 119(1997), 836-839.
  27. B.Z.Guo and W.D.Zhu, On the energy decay of two coulpled strings through a joint dampers, ¡¶J.Sound and Vibration¡·, 203(3)(1997), 447-455.
  28. W.D.Zhu, Mote C.D.Jr and B.Z.Guo, Asymptotic distribution of 
    eigenvalues of constrained translating string, ¡¶ASME J.of Applied Mechanics¡·, 64(1997),613-619. 
  29. B.Z.Guo and S.P.Yung, The asymptotic behavior of the eigenfrequency of a one-dimensional linear thermoelastic system, 
    ¡¶J.Math.Anal.Appl.¡·, 213(1997),406-421.
  30. Z.H.Luo and B.Z.Guo, Shear force feedback control of a single link flexible robot with revolute joint, ¡¶IEEE Trans. on 
    Automatic Control¡·, 42(1)(1997), 53-65. 
  31. B.Z.Guo and Z.H.Luo, Stability analysis of a hybrid system 
    arising from feedback control of flexible robots, ¡¶Japan J.Industrial and Applied Math.¡·, 13(3)(1996), 417-434. 
  32. B.Z.Guo and Z.H.Luo, Initial-boundary value problem for a flexible beam vibration with gain adaptive direct strain feedback control,¡¶Nonlinear Analysis, Theory, Methods and Applications¡·, 27(1996), 353-365.
  33. Z.H.Luo, N.Kitamura and B.Z.Guo, Shear force feedback control 
    of flexible robot arms, ¡¶IEEE Trans. on Robotics Automation¡·, 
    11(5)(1995), 760-765. 
  34. Z.H.Luo and B.Z.Guo, Further theoretical results on direct 
    strain feedback control of flexible robot arms, ¡¶IEEE Trans. on 
    Automatic Control¡·, 40(4)(1995), 747-751.
  35. B.Z.Guo, A finite difference scheme for the equation of population dynamics, ¡¶Mahtl.& Comput.Modelling¡·, 21(5)(1995), 75-87.
  36. B.Z.Guo and Q.Song, Tracking control of a flexible beam by 
    nonlinear boundary feedback, ¡¶J.Appl.Math. & Stocha.Anal.¡·, 
    8(1)(1995), 47-58. 
  37. B.Z.Guo, Asymptotic behavior of the spectrum of a direct 
    strain feedback control system,¡¶J.Austral.Math.Soc.Ser. B¡·, 
    37(1995), 86-98.
  38. B.Z.Guo and Z.H.Luo, On the analytic solution of a controlled 
    flexible arm system with structural damping, ¡¶Indian J.Pure 
    & Appl.Math.¡·, 25(2)(1994), 1223-1227. 
  39. B.Z.Guo and W.L.Chan, On the semigroup for age-dependent 
    population dynamics with spatial diffusion,¡¶J.Math.Anal.Appl.¡·, 
    184(1994), 190-199. 
  40. B.Z.Guo and Y.H.Luo, Semigroup approach to the stability of a direct strain feedback control system of elastic vibration with structureal damping, ¡¶Appl.Math. Letters¡·, 7(1994), 95-100. 
  41. B.Z.Guo, Rothe approximation to an ablation-transpiration cooling control system,¡¶ Mathl. and Comput. Modelling¡·,18(1993),63-74. 
  42. B.Z.Guo, Rothe approach to the existence of solution of an ablation-transpiration cooling control system, ¡¶J.Appl.Math. 
    and Stochastic Anal.¡·, 6(1993), 161-180. 
  43. W.L.Chan and B.Z.Guo, Age-dependent population based on interval parity progression, ¡¶Mathl. and Comput. Modelling¡·,16(4)(1992), 57-68. 
  44. W.L.Chan and B.Z.Guo, Controlled age-dependent population dynamics based on parity progression, ¡¶J. Math. Anal.Appl.¡·, 
    166(2)(1992), 442-455. 
  45. W.L.Chan and B.Z.Guo, Pointwise stabilization for a chain of vibrating strings, ¡¶IMA J.of Math. Control & Information¡·, 
    7(1991), 307-315. 
  46. Paul C.K.Kwong and B.Z.Guo, A time-dependent McKendrick population model for Logistic transition, ¡¶Mathl. and Comput. 
    Modelling¡·, 15(1991), 49-59. 
  47. W.L.Chan and B.Z.Guo, Overtaking optimal control problem of age-dependent populations with infinite horizon, ¡¶J. Math. 
    Anal.Appl.¡·, 150(1990), 41-53. 
  48. W.L.Chan and B.Z.Guo, Global behavior of age-dependent Logistic population models, ¡¶J.Math.Biol.¡·, 28(1990), 225-235.
  49. W.L.Chan and B.Z.Guo, Optimal birth control of population dynamics II: problems with free final time, phase constraints 
    and minimax costs, ¡¶J.Math.Anal.Appl.¡·, 146(2)(1990), 523-539. 
  50. W.L.Chan and B.Z.Guo, On the semigroups for age-dependent 
    population dynamics with spatial diffusion, ¡¶Manuscripta 
    Mathematica¡·, 66(1989), 161-181.
  51. W.L.Chan and B.Z.Guo, Optimal birth control of population 
    dynamics, ¡¶J.Math.Anal. Appl.¡·, 144(2)(1989), 532-552.
  52. B.Z.Guo and W.L.Chan, A semigroup approach to age-Dependent population dynamics with time delay, ¡¶Communication in Partial Differential Equations¡·, 14(6)(1989). 

Books:

  1. Z.H.Luo, B.Z.Guo and O.Morgul, Stability and Stabilization of Infinite Dimensional Systems with Applications, 403 pages,  Springer-Verlag, January, 1999.
     
  2. J.Y.Yu, B.Z.Guo & G.T.Zhu, Theory of Population Distributed Parameter
    Control Systems (in Chinese), 366 pages, Hua Zhong Institute of
    Technology press,January, 1999.

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