IU Web Directory

Name: Pham Huu Anh Ngoc
Position: Acting Head of Department
Title: Assoc. Prof. Dr.
Office: A2 610
Telephone:
E-mail:

 


Bachelor degree:      (1985-1989)  Specialization: Mathematics

                                    Hue University, Vietnam

                                    Date of  graduation: June, 1989

Master  degree:         (1992-1994)  Specialization: Mathematical Analysis

                                    Hue University, Vietnam

                                    Date of  graduation: October, 1994

Ph.D.  degree :           (1998-2000) Specialization: Applied  Mathematics

                                    Institute of Mathematics, Hanoi-Vietnam

                                    Date of  graduation:  2000

 

 

  • 1996-2004: Department of Mathematics, University of Pedagogy, Hue University, Vietnam
    Position: Lecturer

 

  • 4/2004-4/2005, Department of Mathematics,  Kyungsung university, Busan, South Korea, Position: Postdoctoral fellow

 

  • 8/2005-8/2007, Department of Mathematics,  The University of Electro-Communications, Tokyo, Japan
    Position: JSPS Postdoctoral fellow

 

  • 10/2007-10/2009, Institute of Mathematics, Ilmenau Technical University, Germany
  • Position: Alexander von Humboldt experienced researcher

 

  • 2010-now, Department of Mathematics,   International University, Vietnam National University-HCMC,
    Position: Associate Professor

 

 

 

    

My interests:

  • 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.  

Teaching experience:

I taught the following courses:

For undergraduate students:   Calculus, Measure Theory and Integral, Functional Analysis, Topology, Differential Equations.

    • For graduated students: Advanced Theory of  Measure  and Integrals, Modern  Analysis,  Differential Equations, Control Theory.

Professional activities:

-        Member of the Vietnamese Mathematical Society

-        Reviewer of Mathematical reviews of the American Mathematical Society.

 I have reviewed  articles for

 

  • SIAM journals
  • IEEE Transactions on Automatic Control
  • Automatica
  • International Journal of Control
  • Asian journal of control
  • Numerische Mathematik  (Springer-Verlag publisher)
  • Systems & Control Letters (Elsevier publisher)
  • Journal of Mathematical Analysis and Applications (Elsevier publisher)
  • Applied Mathematical Modelling (Elsevier publisher)
  • Computers & Mathematics with Applications (Elsevier publisher)
  • AIMS journals (American Institute of Mathematical Sciences)
  • 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.

 



 

Scientific Awards:

   1.  Research fellowship of German Academic Exchange Service:

        ( DAAD fellowship) Institute of Dynamical systems, Bremen University

        Bremen, Germany,  April 15, 2001 –July 14, 2001. 

2.      KOSEF postdoctoral fellowship:

 Department of Mathematics, Kyungsung University,

 Busan, South Korea, April 21, 2004-April 20, 2005.

3.   JSPS postdoctoral fellowship for foreign researchers:

Department of Mathematics, The University of Electro-Communications,

Tokyo, Japan, August 1, 2005- July 31, 2007. 

4.      Alexander von Humboldt  research fellowships for experienced  researchers: 

 Institute of Mathematics, Ilmenau Technical University,  

 Ilmenau,  Germany,  November 1, 2007-October 31, 2009.

5.Honorary Appointment as Visiting  Professor, University of Technology, Sydney, Australia, July 2015.

 6. Visiting Academic, Faculty of Science Engineering and Built Environment, School of Engineering, Deakin university, Melbourne, Australia,  July 2015.

7. Visiting Academic, Faculty of Science Engineering and Built Environment, School of Engineering,  Deakin university, Melbourne, Australia,  August  2016.


 

(If you are interested in some papers, send me an email)

69) P.H.A. Ngoc, Exponential stability of coupled linear delay time-varying differential-difference equations, IEEE Transactions on Automatic Control,  tentatively scheduled to appear in the 2018 March issue.

68)  P.H.A. Ngoc,  Hieu Trinh,  Stability analysis of nonlinear neutral  functional differential equations, SIAM Journal on  Control and Optimization,  2017,  to appear.

67) P.H.A. Ngoc, TB Tran, CT. Tinh, On stability  of nonlinear neutral  functional differential equations, ESAIM: Control, Optimisation and Calculus of Variations, 2017, https://www.esaim-cocv.org/articles/cocv/pdf/forth/cocv160066.pdf.

66) P.H.A. Ngoc, T.B Tran, C.T. Tinh, N.D. Huy, Novel criteria for exponential stability of linear non-autonomous  functional differential equations,  Journal of Systems Science and Complexity,  2017, accepted.

65) P.H.A. Ngoc, T.T.Anh,  New stability criteria for nonlinear Volterra  integro-differential equations, Acta Mathematica Vietnamica, 2017, accepted.

64) P.H.A. Ngoc, Quang Ha, On exponential stability of linear non-autonomous  functional differential equations of neutral type,  International Journal of Control, Vol.90, Issue 3, 454-462, 2017.

63)T.T. Anh, P.H.A. Ngoc, New stability criteria for linear Volterra time-varying integro-differential equations, Taiwanese Journal of Mathematics, Vol. 21, No. 4,  841-863, 2017.

62)P.H.A. Ngoc, L.T. Hieu, Stability of nonlinear Volterra equations, Bulletin of the Polish Academy of Sciences, Technical Sciences, Vol. 65, No. 3, 333-340, 2017.

61) P.H.A. Ngoc, Stability  of periodic solutions of  nonlinear time-delay systems, IMA Journal of Mathematical Control and Information (IMA/Oxford University Press), Volume 34, Issue 3, 2017, pp. 905–918

60) P.H.A. Ngoc, C.T. Tinh,  Exponential stability of functional differential systems, Vietnam Journal of Mathematics,  , Volume 44, Issue 4, pp 727–738.

59) P.H.A. Ngoc, C.T. Tinh, Explicit criteria for exponential stability of time-varying systems with infinite delay,  Mathematics of Control, Signals and Systems (2016), 28:4, 1-30.

58) P.H.A. Ngoc, Hieu Trinh,  Novel criteria for exponential stability of linear neutral time-varying differential systems, IEEE Transactions on Automatic Control  (2016),  (6), 1590-1594.

57) P.H.A. Ngoc, C.T. Tinh,  Robust stability of positive linear time delay systems under time-varying pertubations, Bulletin of the Polish Academy of SciencesTechnical Sciences, Vol. 63 (2015),  947-954.

56) P.H.A. Ngoc, Stability of   nonlinear   differential systems with  delay, Evolution Equations and Control Theory Vol. 4 (2015), 493-505.

55) P. H. A. Ngoc, Novel criteria for exponential stability of nonlinear differential systems with delay,  IEEE Transactions on Automatic Control  Vol.60  (2015), 485-490.

54) P. H. A, Ngoc, L. T. Hieu, On exponential stability of nonlinear Volterra difference equations in phase spaces, Mathematische Nachrichten Vol. 288 (2015), 483-451

53) P. H. A. Ngoc, N. D. Huy, Exponential stability of linear delay difference equations with continuous time, Vietnam Journal of Mathematics,  Volume 43 (2015), 195-205,  dedicated to the 65th birthday of Prof. Nguyen Khoa Son.

52) P.H.A. Ngoc, C.T. Tinh, New criteria for exponential stability of linear time-varying differential systems with delay, Taiwanese Journal of Mathematics, Vol.18 (2014), 1759-1774.
 

51)  P. H. A. Ngoc, L. T. Hieu, Exponential stability of Volterra difference equations with infinite delay, Bulletin of the Polish Academy of Sciences, Mathematics, Vol. 62 (2014), 125-137.

50) P. H. A. Ngoc, Robust stability of positive  linear systems under time-varying perturbations, Numerical Functional Analysis and Optimization, Vol.  35 (2014), 739-751.

49) P. H. A. Ngoc, Positivity and stability of linear functional  differential equations with infinite delay,
Mathematische Nachrichten,Vol. 287
(2014) 803–824.

48) P. H. A. Ngoc, New criteria for  exponential stability of  nonlinear time-varying differential systems, International Journal of Robust and Nonlinear Control, Vol. 24 (2014)  264--275.

47) P. H. A. Ngoc and Le Trung Hieu, New criteria for  exponential stability of nonlinear difference systems with time-varying delay, International Journal of Control 89 (2013), 1446-1451.

46) P. H. A. Ngoc, Novel criteria for exponential stability of functional  differential equations, Proceedings of the American Mathematical Society141 (2013), 3083-3091. 

45) P.H.A. Ngoc, On stability of a class of integro-differential  equations,  Taiwanese Journal of Mathematics,  2013, Vol. 17, 407-425. 

44) P. H. A. Ngoc, Stability of positive differential systems with delay,  IEEE Transactions on Automatic Control2013, Vol. 58, 603-609. 

43)  P. H. A. Ngoc, Le Trung Hieu, On stability of  discrete-time systems under  nonlinear  time-varying   perturbations,  Advances in Difference Equations,  2012: 120, 1-10.

42) P. H. A. Ngoc, On exponential stability of  Volterra differential equations with  delay,  Applied Mathematics and Computation, Vol. 218, 2012, 11922-11930.  

41) P. H. A. Ngoc, On exponential stability of  nonlinear differential systems with  time-varying delay, Applied Mathematics Letters,  Vol. 25, 2012, 1208-1213.

 40)  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.

39) P. H. A. Ngoc, On a class of positive linear differential equations with infinite delays,  Systems and Control Letters,Vol. 60, 1038-1044,  2011.  

38) P. H. A. Ngoc,   Stability  of linear  Volterra-Stieltjes differential  equations,  SIAM  Journal  on  Control and Optimization, Vol.49, No.1, 205-226,  2011. 

37) 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. 

36) P. H. A. Ngoc, On positivity and stability of linear Volterra Stieltjes   differential systems. Lecture Notes in  Control  and Information Sciences (LNCIS) Vol. 389, 2009, 111-121.

35) A. Ilchmann, P. H. A. Ngoc, On positivity and stability of linear time-varying  Volterra equations, Positivity,  Vol. 13, 671-681, 2009. 

34) 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. 

 33) 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

 32) 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.

31) 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:

 30) 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.

29) 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.

28) 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.

27)   P. H. A. Ngoc,  Stability radii of  positive  linear Volterra-Stieltjes equations,  Journal of Differential Equations, Vol. 243,  101-122, 2007.

26)   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.

25)  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. 

 24)  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.

 23)  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.

 21)   P. H. A. Ngoc, T. Naito, J. S. Shin, Characterizations of positive linear  functional differential equations, Funkcialaj Ekvacioj,  Vol. 50, 1-17, 2007. 

 20)  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.

19)  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.   

18) 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.

17)  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.

 16)  P. H. A. Ngoc,  A Perron-Frobenius theorem for a class of   positive quasi- polynomial matrices,  Applied Mathematics  Letters, Vol.19, 747-751, 2006.   

 15) 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.

 14)   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. 

 13) 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 .

 12) 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.

 11)  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.

 10) 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.

 9)  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.

 8)     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.

 7)     N. K. Son, P. H. A. Ngoc, Robust stability  of linear functional differential equations.  Advanced Study in Contemporary Mathematics, 3 (2001), 43-59.

 6)     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. 

 5)     N. K. Son, P. H. A. Ngoc, Stability radii of linear functional differential equations. Vietnam Journal of Mathematics, 29: 1, 2001, 85-89.

 4)     P. H. A. Ngoc,  Robust stability of linear delay systems under fractional  parameter perturbations. East-West Journal of Mathematics., 2, 2000, 127-139.

 3)     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.

 2)     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. 

 1)     N. K. Son, P. H. A. Ngoc,  Complex stability radius of linear delay systems. Vietnam Journal of Mathematics, 26: 4, 1998, 379-383. 

  


Projects:

1.  On robust stability of linear difference systems (2004-2006),

     Governed by the Ministry of Educations

     Assessment: Very good

2.  On  stability and robust stability of linear Volterra equations (2010-2012)

     Governed by the National Foundation for Science and Technology Development (NAFOSTED)

     Assessment: Very good

3. On  stability of linear Volterra equations and functional differential equations (2012-2013)

     Governed by the Vietnam National University-HCMC.

Assessment: Excellent.

4.  On stability of some classes of time-varying functional differential  equations (7/2013-7/2015)

     Governed by the National Foundation for  Science and Technology Development (NAFOSTED)

 

5.  A new approach to stability of dynamical systems (7/2015-7/2017), Governed by the Vietnam National University-HCMC.

6. On stability of some classes of dynamical systems (2017-2018),

Governed by the National Foundation for  Science and Technology Development (NAFOSTED). 



 

 

 

 

 

 

 


 

 

Ph. D students:

1. Dr. Le Trung Hieu (Dong Thap University),  9/2012-8/2015.

2. Dr. Cao Thanh Tinh (University of information Science and Technology, Vietnam National University-HCMC), 10/2013-10/2016.

3. Tran The Anh (Nha Trang College of Education) 9/2015-9/2018,  in progress. 


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