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Home Page of IU> Math> People> Staff Members> Phan Huu Anh Ngoc

Dr. Pham Huu Anh Ngoc

Date of birth:  April 24, 1967 
Permanent Institute: 

Department of Mathematics
International University,
Vietnam National University-Ho Chi Minh City 
Linh Trung Ward, Thu Duc district, Ho Chi Minh City, Vietnam
Tel. (84) - (8) - 7.242.181 (Ext …. )
Fax. (84) - (8) - 7.242.1
Email: phangoc@hcmiu.edu.vn

Education

  • Bachelor degree: 
    • Specialization: Mathematics
    • University: Hue University, Vietnam
    • Date of graduation: June, 1989
  • Master  degree: 
    • Specialization: Mathematical Analysis
    • University: Hue University, Vietnam
    • Date of  graduation: October, 1994
  • Ph.D.  degree:      
    • Specialization: Applied  Mathematics
    • University: Institute of Mathematics, Hanoi-Vietnam
    • Date of  graduation:  2000

Employment

  • Lecturer, Department of Mathematics, University of Pedagogy, Hue University, Hue city, Vietnam (1996 – 2009)
  • Lecturer, Department of Mathematics, International University, Vietnam National University-Ho Chi Minh City  (Since  March, 2010)

Scientific Awards

  • Research fellowship of German Academic Exchange Service: (DAAD fellowship) Institute of Dynamical Systems, Bremen University Bremen, Germany,  April 15 th, 2001 –July 14 th, 2001. 
  •  KOSEF postdoctoral fellowship: Department of Mathematics, Kyungsung University, Busan, South Korea, April 21 st, 2004-April 20 th, 2005.
  • JSPS postdoctoral fellowship for foreign researchers: Department of Mathematics, The University of Electro-Communications, Tokyo, Japan, August 1 st, 2005- July 31 st, 2007.
  • Alexander von Humboldt  research fellowships for experienced researchers: Institute of Mathematics, Ilmenau Technical University, Ilmenau,  Germany,  November 1 st, 2007-October 31 st, 2009

Experience

  • Teaching experience: I taught the following courses:
    • For undergraduate students: Calculus I, II; Theory of Measures and Integrals; Functional Analysis, Topology, Differential Equations.
    • For graduated students: Advanced Theory of  Measures  and Integrals, Modern  Analysis,  Control theory.
  • Professional activities:
    • I am a member of the Vietnamese Mathematical Society and a reviewer of Mathematical reviews of the American Mathematical Society. 
    • I have  refereed articles for:
      • American Institute of Mathematical Science journals
      • Numerische Mathematik (Springer-Verlag publisher)
      • Journal of Mathematical Analysis and Applications (Elsevier publisher)
      • Journal of Difference Equations and Applications (Taylor Francis Group) 
      • International Journal of Robust and Nonlinear Control  (John Wiley and Sons publisher)
      • Applied Mathematics and Computations  (Elsevier publisher).
      • Acta Mathematica Vietnamica
      • Vietnam Journal of Mathematics.

Research Interest

  • Robust analysis: Robust stability, robust control of dynamical systems
  • Stability of functional (difference) differential equations
  • Analysis of positive systems, positive C_0 semi-groups
  • Adaptive control for  linear dynamical systems and applications
  • Stability C_0 semi-groups.

Publications

Articles published in peer-refereed Journals 

  1. P. H. A. Ngoc, On exponential stability of  nonlinear differential systems with  time-varying delay,  Applied Mathematics Letters,  2012, Accepted.
  2. P. H. A. Ngoc,Stability of positive differential systems with delay,  IEEE Transactions on Automatic Control, 2012,  Accepted.
  3. P. H. A. Ngoc, Novel criteria for exponential stability of functional          differential equations, Proceedings of the American Mathematical Society, 2012,  Accepted.
  4. A. Ilchmann, P. H. A. Ngoc, Stability  and robust stability of  positive              Volterra  systems,  International Journal of Robust and Nonlinear          Control,  Vol. 22, Issue 6,  604-629, 2012.
  5. P. H. A. Ngoc, On a class of positive linear differential equations with infinite delays,  Systems and Control Letters Vol. 60, 1038-1044,  2011.
  6. P. H. A. Ngoc,   Stability  of linear  Volterra-Stieltjes differential  equations, SIAM  Journal  on  Control and Optimization, Vol.49, No.1, 205-226, 2011.
  7. S. Murakami, P. H. A. Ngoc,   On stability and robust stability of positive  linear  Volterra equations in Banach lattices. Central European Journal of Mathematics, Vol. 8, 2010, 966-984.
  8. P. H. A. Ngoc, On positivity and stability of linear Volterra-Stieltjes   differential systems. Lecture Notes in  Control  andInformation Sciences (LNCIS) Vol. 389, 2009, 111-121.
  9. A. Ilchmann, P. H. A. Ngoc, On positivity and stability of linear time-varying       Volterra equations, Positivity,  Vol. 13, 671-681, 2009.
  10. P. H. A. Ngoc, On positivity and stability of  linear Volterra systems with  Delay. SIAM  Journal  on  Control and Optimization, Vol. 48, No. 3,  1939-1960, 2009.
  11. P. H. A. Ngoc, S. Murakami, T. Naito, J. S. Shin, Y.  Nagabuchi, On positive linear Volterra-Stieltjes differential equations. Integral Equations and Operator Theory, Vol. 64,  325-355,  2009
    12.                       
  12. P. H. A. Ngoc, T. Naito, J. S. Shin,  S. Murakami, Stability and  robust stability of  positive linear Volterra difference equations, International Journal  of  Robust and Nonlinear Control, Vol. 19, 552-569, 2009.
  13. T. Naito, P. H. A. Ngoc,  J. S. Shin,  Lyapunov exponents of solutions to linear differential equations with periodic forcing functions, Journal of Mathematical Analysis and Applications, Vo. 342, no 1, 349-353, 2008:
  14. P. H. A. Ngoc, T. Naito, J. S. Shin,  S. Murakami,  On  stability and  robust stability of  positive linear Volterra equations, SIAM  Journal  on  Control and Optimization, Vol. 47,  no. 2,  975-996 2008.
  15. T. Naito, P. H. A. Ngoc and J. S. Shin, Representations and asymptotic behavior of   solutions to periodic linear difference equations (II), Hiroshima Mathematical Journal Vol. 38, no. 1, 135-154 2008.
  16. T. Naito, P. H. A. Ngoc and J. S. Shin, Representations and asymptotic behavior of solutions to periodic linear difference equations, Funkcialaj Ekvacioj,  Vol. 51, 55-80  2008.
  17.  P. H. A. Ngoc,  Stability radii of  positive  linear Volterra-Stieltjes equations,  Journal of Differential Equations, Vol. 243,  101-122, 2007.
  18.  P. H. A. Ngoc,  T. Naito, J. S. Shin,  On stability of a class of positive linear  functional difference equations, Mathematics of  Control, Signals and Systems, Vol. 19,  361-382, 2007.
  19.  T. Naito, J. S. Shin,  S. Murakami, P. H. A. Ngoc,  Characterizations of  linear Volterra integral equations with nonnegative kernels, Journal  of Mathematical  Analysis and Applications, Vol. 335 2007,  298-313. 
  20. T. Naito, J. S. Shin,  S. Murakami, P. H. A. Ngoc, Characterizations of  positive linear  Volterra integro-differential systems, Integral Equations and Operator Theory,  Vol. 58, 255-272, 2007.
  21. P. H. A. Ngoc, T. B. Tran, T. Naito,  Stability radii of order higher linear  difference systems under multi-perturbations,  Journal of Difference Equations  and   Applications, Vol. 13, No.1, 13-24, 2007.
  22.  P. H. A. Ngoc, T. Naito, Stability radii of linear parameter-varying  differential  systems and applications, Journal of Mathematical Analysis and Applications, Vol. 328, 170-191 2007.
  23.  P. H. A. Ngoc, T. Naito, J. S. Shin, Characterizations of positive linear  functional differential equations, Funkcialaj Ekvacioj,  Vol. 50, 1-17, 2007. 
  24. P. H. A. Ngoc, N. V. Minh, T. Naito,  Robust Stability of Linear Functional Differential Equations: Stability Radii of Positive Linear Functional Differential Systems in Banach spaces, International  Journal of Evolution Equations, Vol. 2,  No 1, 75-97, 2007.
  25. P. H. A. Ngoc,  T. Naito, D-stability radius of linear discrete-time  systems, Numerical Functional  Analysis and  Optimization, Vol. 27, No. 5-6, 667-683,  2006.
  26. P. H. A. Ngoc,  T. Naito, J. S. Shin, Global optimization problems in  stability analysis of linear dynamical systems.  Positive  Systems: Theory  and  Applications, Lecture Notes in  Control  and  Information Sciences (LNCIS), Vol 341  311-318, 2006, Springer-Verlag.
  27. P. H. A. Ngoc,  B. S. Lee,  A characterization of spectral abscissa  and  Perron-Frobenius theorem of positive linear functional differential  equations, IMA Journal of Mathematical Control and Information,  Vol. 23   259-268, 2006.
  28. P. H. A. Ngoc,  A Perron-Frobenius theorem for a class of   positive quasi- polynomial matrices,  Applied Mathematics  Letters, Vol.19, 747-751, 2006.   
  29. P. H. A. Ngoc, T. Naito, New characterizations for exponential dichotomy  and exponential stability of linear difference equations, Journal of Difference Equations and Applications, 11 2005, 909- 918.
  30.  P. H. A. Ngoc, B. S. Lee, Some sufficient conditions for exponential stability of neutral linear functional differential equations, Applied Mathematics and Computation, 170,  2005, 515-530. 
  31. P. H. A. Ngoc, Strong stability radii of positive linear time-delay systems, International Journal of Robust and Nonlinear Control, Vol.15,  2005,  459-472 .
  32. P. H. A. Ngoc, N. K. Son, Stability radii of positive linear    functional   differential  equations under multi-perturbations, SIAM  Journal  on  Control and Optimization, Vol. 43, No.6, 2005, 2278-2295.
  33. P. H. A. Ngoc, N. K. Son, Stability radii of linear systems under multi-perturbations, Numerical Functional Analysis and Optimization, 25, 2 2004, 221-238.
  34. P. H. A. Ngoc, B. S. Lee, N. K. Son, Perron-Frobenius theorem for   positive polynomial matrices, Vietnam Journal of Mathematics, Vol. 32, 2004, 475-481.
  35. D. Hinrichsen, N. K. Son, P. H. A. Ngoc, Stability radii of higher order positive difference systems. Systems and Control Letters   Vol 49, 2003,  377-388.
  36. P. H. A. Ngoc, N. K. Son,  Stability radii of positive  linear difference equations under affine parameter perturbations. Applied Mathematics and Computation Vol.134, 2003, 577-594.
  37. N. K. Son, P. H. A. Ngoc, Robust stability  of linear functional differential equations.  Advanced Study in Contemporary Mathematics, 3 (2001), 43-59.
  38. N. K. Son, P. H. A. Ngoc, Stability radii of linear discrete-time systems with delays. Vietnam Journal of Mathematics, 29: 4, 2001, 379-384. 
  39. N. K. Son, P. H. A. Ngoc, Stability radii of linear functional differential equations. Vietnam Journal of Mathematics, 29: 1, 2001, 85-89.
  40. P. H. A. Ngoc,  Robust stability of linear delay systems under fractional  parameter perturbations. East-West Journal of Mathematics., 2, 2000, 127-139.
  41. N. K. Son, P. H. A. Ngoc, Stability of linear infinite dimensional systems under affine and fractional perturbations. Vietnam Journal of Mathematics, 27: 2, 1999, 153-167.
  42. N. K. Son, P. H. A. Ngoc, Robust stability  of positive linear delay systems under affine parameter perturbations.  Acta Mathematica Vietnamica, Vol . 24, 1999, 353-372. 
  43. N. K. Son, P. H. A. Ngoc,  Complex stability radius of linear delay systems. Vietnam Journal of Mathematics, 26: 4, 1998, 379-383. 

Articles in Proceedings of International Mathematical Conferences

  1. N. K. Son, P. H. A. Ngoc, Stability radius of linear delay systems.  Proceedings of the American Control  Conference, San Diego California, USA,  June, 1999, 815-816.
  2. P. H. A. Ngoc, T. Naito,  Robust D-stability of linear difference  equations,  Dynamics of Functional equations and Numerical Simulations,  Research Institute of Mathematics Science,  Kokyuroku 1474, Kyoto university, Kyoto, Japan  67-75, 2006. 
  3. P. H. A. Ngoc, T. Naito, Stability Radius of Linear Parameter-Varying Systems and  Applications, Proceedings of 45th IEEE Conference  on Decision  and Control,  San Diego California, USA,December 13-15, 2006, 5736-5741.
  4. S. Murakami, P. H. A. Ngoc, Positivity and Stability of Linear Volterra Integro-differential Equations in a Banach Lattice　---------------------------------------------------------------------------------- 23 in a Banach Lattice,  Research Institute of Mathematics Science,  Kokyuroku 1582, Kyoto university, Kyoto, Japan  33-42, 2007. 
 
  Copyright 2006, Department of Mathematics - International University - HCMC