Nguyễn Khoa Sơn

Nguyễn Khoa Sơn

GS. TSKH.

Hướng nghiên cứu: Ổn định và điều khiển bền vững

Liên hệ

Chi tiết các công bố xem tại đây

Lý lịch khoa học

Lý lịch khoa học

Năm sinh: 1948

Nơi sinh: TP Huế

  • Đại học: 1972, Đại học tổng hợp Kharkov, Ukraine
  • Tiến sĩ: 1978, Đại học tổng hợp Kharkov, Ukraine
  • Tiến sĩ khoa học: 1990, Viện toán học, Viện HLKH Ba Lan, Warsaw
  • Phó giáo sư: 1991
  • Giáo sư: 1996

Chuyên ngành: Phương trình vi phân và tích phân

Các vị trí công tác đã qua:

  • Phó viện trưởng Viện Toán học (1995-1998)
  • Phó giám đốc Trung tâm KHTN &CN QG (2001-2004)
  • Phó chủ tịch Viện KHCNVN (2004-2008)
  • Tổng biên tập Vietnam Journal of Mathematics (1997-2011)
  • Chủ nhiệm Chương trình KHCN vũ trụ (2008-2011, 2012-2015)

Các lĩnh vực quan tâm: Phương trình vi phân, lý thuyết tối ưu và điều khiển

Các công bố khoa học

Ấn phẩm

  1. 1. Nguyễn Khoa Sơn, Nguyễn Thị Hồng, Stability analysis of a class of coupled time-varying differential-difference systems with time-delay and sector-type nonlinearities, European Journal of Control Volume 88, March 2026, 101472 (2026)
  2. 2. Nguyễn Khoa Sơn, Nguyễn Thị Hồng, Lê Văn Ngọc, Stability conditions for a class of nonlinear timevarying switched systems with delays and sectortype nonlinearities, International Journal of Systems Science, Volume 57(2), (2025), 441-461 (2025)
  3. 3. Nguyễn Khoa Sơn, Nguyễn Thị Hồng, Absolute Exponential Stability Criteria for Some Classes of Nonlinear Time-Varying Systems with Delays and Sector Nonlinearities, Vietnam Journal of Mathematics, 53(1) (2025), 183-201 (2025)
  4. 4. Nguyễn Khoa Sơn, Lê Văn Ngọc, Robustness of exponential stability of a class of switched positive linear systems with time delays, International Journal of Robust and Nonlinear Control, 34 (2024), no. 4, 2906–2926 (2024)
  5. 5. Nguyễn Khoa Sơn, Lê Trung Hiếu, Cao Thanh Tình, Đỗ Đức Thuận, New criteria for exponential stability of a class of nonlinear continuous-time difference systems with delays, International Journal of Control, 96 (2023), 1650-1660 (2023)
  6. 6. Nguyễn Khoa Sơn, Lê Văn Ngọc, Exponential stability analysis for a class of switched nonlinear time-varying functional differential systems, Nonlinear Analysis: Hybrid Systems, 44 (2022), 17 pages, (2022)
  7. 7. Nguyễn Khoa Sơn, Nguyễn Năng Thiều, Nguyễn Đông Yên, On the solution existence for prox-regular perturbed sweeping processes, Journal of Nonlinear and Variational Analysis 5 (2021), no. 6, 851-863. (2021)
  8. 8. Nguyễn Khoa Sơn, Lê Văn Ngọc, On robust stability of switched linear systems, IET Control Theory and Appl., 2020, Vol. 14, pp 19-29 (2020)
  9. 9. Nguyễn Khoa Sơn, Nguyễn Thị Hồng, On Structured Distance to Uncontrollability of General Linear Retarded Systems, Acta Mathematica Vietnamica volume 45, (2020), pages411–433 (2020)
  10. 10. Đỗ Đức Thuận, Nguyễn Khoa Sơn, Structured distance to non-surjectivity of convex processes and its applications to robust controllability under structured perturbations, IET Control Theory and Appl., 12(2018), 263-272 (2018)
  11. 11. Nguyễn Khoa Sơn, Đỗ Đức Thuận, Controllability radii of linear systems with constrained controls under structured perturbations, SIAM Journal on Control and Optimization, 54 (2016), 2820–2843 (2016)
  12. 12. Nguyễn Khoa Sơn, Đỗ Đức Thuận, Nguyễn Thị Hồng, Radius of approximate controllability of linear retarded systems under structured perturbations, Systems & Control Letters, 84 (2015), 13–20 (2015)
  13. 13. Nguyễn Khoa Sơn, Đỗ Đức Thuận, The structured controllability radii of higher order systems, Linear Algebra and its Applications, 438 (2013), 2701 - 2716 (2013)
  14. 14. Nguyễn Khoa Sơn, Đỗ Đức Thuận, The structured distance to non-surjectivity and its application to calculating the controllability radius of descriptor systems, Journal of Mathematical Analysis and Applications, 388 (2012), 272–281 (2012)
  15. 15. Bui The Anh, Nguyễn Khoa Sơn, Bui The Quan, Robust stability of positive linear systems under fractional perturbations in infinite dimensional spaces, Dynamics of Continuous, Discrete and Impulsive Systems, Ser. A: Mathematical Analysis 18 (2011), 420 - 441 (2011)
  16. 16. Nguyễn Khoa Sơn, Đỗ Đức Thuận, On the radius of surjectivity for rectangular matrices and its application to measuring stabilizability of linear systems under structured perturbations, Journal of Nonlinear and Convex Analy, 12 (2011), 441-453 (2011)
  17. 17. Bui The Anh, Nguyễn Khoa Sơn, Robust stability of a class of positive quasi-polynomials in Banach spaces, Mathematical Notes, Volume 88, pages 626–636 (2010) (2010)
  18. 18. Nguyễn Khoa Sơn, Đỗ Đức Thuận, The structured controllability radii of higher order descriptor systems, Vietnam Journal of Mathematics 38 (2010), 373 - 380 (2010)
  19. 19. Bui The Anh, Nguyễn Khoa Sơn, Robust stability of a class of positive Quasi-polynomials in banach spaces, Mathematical Notes 88 (2010), 651 - 661 (2010)
  20. 20. Bui The Anh, Nguyễn Khoa Sơn, Robust stability of positive linear systems in Banach spaces, Journal of Difference Equations and Applications, 16 (2010), 1447 -- 1461 (2010)
  21. 21. Bui The Anh, Nguyễn Khoa Sơn, The robustness of strong stability of posititive homogeneous difference systems under parameter perturbations, Numerical Functional Analysis and Optimization, 31 (2010), 97 -- 111 (2010)
  22. 22. Nguyễn Khoa Sơn, Đỗ Đức Thuận, The structured distance to uncontrollability under multi-perturbations: an approach using multi-valued linear operators, Systems and Control Letters, 59 (2010), 476 -- 483 (2010)
  23. 23. Bui The Anh, Nguyễn Khoa Sơn, Robust stability of delay difference systems under fractional perturbations in infinite-dimensional spaces, International Journal of Control, 83 (2010), 498 -- 505 (2010)
  24. 24. Bui The Anh, Nguyễn Khoa Sơn, Duong Dang Xuan Thanh, Perron-Frobenius theorem for positive polynomial operators in Banach lattices, Positivity, 13 (2009), 709-716. (2009)
  25. 25. Bui The Anh, Nguyễn Khoa Sơn, Duong Dang Xuan Thanh, Stability radii of positive linear time-delay systems under fractional perturbations, Systems & control letters, 58 (2009), 155-159 (2009)
  26. 26. Bui The Anh, Nguyễn Khoa Sơn, Robust stability of Metzler operators under parameter perturbations, International Journal of Robust and Nonlinear control, 19 (2009), 1931 -- 1939 (2009)
  27. 27. Bui The Anh, Nguyễn Khoa Sơn, Stability radii of positive linear systems under fractional perturbations, International Journal of Robust and Nonlinear Control, 19 (2009), 1267 - 1277 (2009)
  28. 28. Nguyễn Khoa Sơn, Đỗ Đức Thuận, Controllability radius of linear systems with perturbed control sets, Vietnam J. Math. 36 (2008), 239–251. (2008)
  29. 29. Bui The Anh, Nguyễn Khoa Sơn, Duong Dang Xuan Thanh, Stability radii of delay difference systems under affine parameter perturbations in infinite dimensional spaces, Applied Mathematics and Computation, 202 (2008), 562 - 570. (2008)
  30. 30. Bui The Anh, Nguyễn Khoa Sơn, Stability radii of positive higher order difference system in infinite dimensional spaces, Systems & Control Letters, 57 (2008), 822 - 827 (2008)
  31. 31. Bui The Anh, Nguyễn Khoa Sơn, Stability radii of positive linear systems under affine parameter perturbations in infinite dimensional spaces, Positivity 12 (2008), 677 - 690 (2008)
  32. 32. Nguyễn Khoa Sơn, Đỗ Đức Thuận, Controllability radius of linear systems under structured perturbations, Vietnam J. Math., 36 (2008), 473-479 (2008)
  33. 33. Bui The Anh, Nguyễn Khoa Sơn, Duong Dang Xuan Thanh, Robust stability of Metzler operator and delay equation in $L^p([-h,0];X)$, Vietnam Journal of Mathematics, 34 (2006), 357 - 368. (2006)
  34. 34. Pham Huu Anh Ngoc, Nguyễn Khoa Sơn, Stability radii of linear systems under multi-perturbations, Numerical Functional Analysis and Optimization, 25 (2005), 221 - 238. (2005)
  35. 35. Nguyễn Khoa Sơn, N. D. Huy, Maximizing the stability radius of discrete-time linear positive systems by linear feedbacks, Vietnam Journal of Mathematics, 33 (2005), 161 - 171. (2005)
  36. 36. Pham Huu Anh Ngoc, Nguyễn Khoa Sơn, Stability radii of positive linear functional differential equations under multi-perturbations, SIAM Journal on Control and Optimization, 43 (2005), 2278 - 2295. (2005)
  37. 37. Nguyen Dinh Huy, Nguyễn Khoa Sơn, Existence of solution for multi-valued integral equations, Vietnam Journal of Mathematics, 32 (2004), 323 - 329. (2004)
  38. 38. D. Hinrichsen, Nguyễn Khoa Sơn, Pham Huu Anh Ngoc, Stability radii of higher order positive difference systems, Systems & Control Letters, 49 (2003), 377 - 388. (2003)
  39. 39. Pham Huu Anh Ngoc, Nguyễn Khoa Sơn, Stability radii of positive linear difference equations under affine parameter perturbations, Applied Mathematics and Computation, 34 (2003), 577 - 594. (2003)
  40. 40. Nguyễn Khoa Sơn, Pham Huu Anh Ngoc, Stability radii of linear discrete-time systems with delays, Vietnam Journal of Mathematics, 29 (2001), N0 4, 379 - 384. (2001)
  41. 41. Nguyễn Khoa Sơn, Pham Huu Anh Ngoc, Stability radii of linear functional differential equations, Vietnam Journal of Mathematics, 29 (2001), 85 - 89. (2001)
  42. 42. Nguyễn Khoa Sơn, Pham Huu Anh Ngoc, Robust stability of linear functional differential equations, Adv. Stud. Contemp. Math. (Pusan) 3 (2001), 43 - 59. (2001)
  43. 43. Nguyễn Khoa Sơn, Pham Huu Anh Ngoc, Robust stability of infinite-dimensional systems under affine and fractional perubations,, Vietnam J. of Mathematics, 27(1999), 132-146 (1999)
  44. 44. Nguyễn Khoa Sơn, Pham Huu Anh Ngoc, Robust stability of positive linear time-delay systems under affine parameter perturbations, Acta Mathematica Vietnamica, 24 (1999), 353 - 371. (1999)
  45. 45. Nguyễn Khoa Sơn, Pham Huu Anh Ngoc, Stability of linear infinite-dimensional systems under affine and fractional perturbations, Vietnam J. Math. 27 (1999), 153 - 167. (1999)
  46. 46. Nguyễn Khoa Sơn, Pham Huu Anh Ngoc, Stability radius of linear delay systems, In: Proc. American Control Conference, San Diego, California, USA, June 1999, 815 - 817. (1999)
  47. 47. Fischer. D, D. Hinrichsen, Nguyễn Khoa Sơn, Robust stability of Metzler operators, Vietnam J. of Mathematics, 26(1998) 147-162. (1998)
  48. 48. D. Hinrichsen, Nguyễn Khoa Sơn, Stability radii of positive discrete-time systems, 3rd International Conference on Approximation and Optimization in the Caribbean (Puebla, 1995), 113–124, Aportaciones Mat. Comun., 24, Soc. Mat. Mexicana, México, 1998. (1998)
  49. 49. Nguyễn Khoa Sơn, D. Hinrichsen, $\mu$ analysis and robust stability of positive linear systems, Appl. Math. Comput. Sci. 8 (1998), N0 2, 253 - 268. (1998)
  50. 50. Nguyễn Khoa Sơn, Pham Huu Anh Ngoc, Complex stability radius of linear retarded systems, Vietnam J. Math. 26 (1998), 379 - 384. (1998)
  51. 51. D. Hinrichsen, Nguyễn Khoa Sơn, Stability radii of positive discrete-time systems under affine parameter perturbations, International Journal of Robust and Nonlinear Control, 8 (1998), 1169 - 1188. (1998)
  52. 52. A. Fischer, D. Hinrichsen, Nguyễn Khoa Sơn, Stability radii of Metzler operators, Vietnam J. Math. 26 (1998) 147 - 162. (1998)
  53. 53. Nguyễn Khoa Sơn, Approximate controllability with positive controls, Acta Math. Vietnamica, 22(1997), 589-620 (1997)
  54. 54. Nguyễn Khoa Sơn, Nguyen Dinh Huy, On the existence of solutions to functional differential inclusions with boundary values, Vietnam J. Math., 25(1997), 331-340 (1997)
  55. 55. Nguyễn Khoa Sơn, D. Hinrichsen, $\mu$-values analysis and stability radii of positive systems under block-diagonal affine perturbations, In: Proc. International Symposium on Automation and Robotics, Szeszin, August 1 - 6, 1996, Poland, 256 - 266. (1996)
  56. 56. D. Hinrichsen, Nguyễn Khoa Sơn, On structured singular values and stability radii of systems under affine perturbations, Vietnam J. Math., 1(1996), 112-117 (1996)
  57. 57. Nguyễn Khoa Sơn, D. Hinrichsen, Robust stability positive continuous time systems, Numerical Functional Analysis and Optimization, 17(1996), 649-659 (1996)
  58. 58. Nguyễn Khoa Sơn, D. Hinrichsen, Robust stability of positive linear systems, In: Proceedings of the 34th IEEE Conference on Control and Decision, New Orleans, USA, 1995, 1423 - 1425. (1995)
  59. 59. Nguyễn Khoa Sơn, Stability radii of positive dynamical systems, In: Proceedings of Inter. Congress of Industrial and Applied Mathematics, ICIAM'95, Hamburg, FRG, July 3-9, 1995, In Zeitschrift fuer Angewandte Mathematik und Mechanik, ZAMM, Vol.2 : Applied Analysis, 756-758 (1995)
  60. 60. Nguyễn Khoa Sơn, Nguyen Dinh Huy, Existence and relaxation of solutions of functional differential inclusions, Vietnam J. of Mathematics, 2(1995), 279-291 (1995)
  61. 61. Nguyễn Khoa Sơn, On the real stability radius of linear systems invariant with respect to a convex cone, Vietnam J. Math., 23(1995), 116-121 (1995)
  62. 62. Nguyễn Khoa Sơn, On the real stability radius of positive linear discrete-time systems, Numerical Functional Analysis and Optimization, 16(1995), 1067-1085 (1995)
  63. 63. Nguyễn Khoa Sơn, On the existence of positive eigenvalues of convex set-valued maps, Vietnam J. of Mathematics, 22(1994), 109-113 (1994)
  64. 64. Nguyễn Khoa Sơn, Dynamical systems with state and control constraints: controllability and related topics, Vietnam J. Math., 21(1993), 1-35. (1993)
  65. 65. Nguyễn Khoa Sơn, Nguyen Dinh Huy, On the qualitative properties of the solution set to functional differential inclusions in Banach spaces, Vietnam J. Math., 19(1991), 45-58 (1991)
  66. 66. D. Hinrichsen, Nguyễn Khoa Sơn, Stability radii of discrete-time systems and simpletic pencils, International Journal of Robust and Nonlinear Control, 1(1991), 79-91 (1991)
  67. 67. Nguyen Dinh Huy, Nguyễn Khoa Sơn, On the existence of solutions of functional differential inclusions in Banach spaces, Acta Mathematica Vietnamica, 16(1991), 49-60 (1991)
  68. 68. Nguyễn Khoa Sơn, Approximate controllability of linear retarded systems in $R^n \times L^p$: a discrete time approach, Lecture Notes in Control and Information Sciences, Springer-Verlag, 143(1990), 404-412 (1990)
  69. 69. Vũ Ngọc Phát, Nguyễn Khoa Sơn, Linear nonstationary control systems : null controllability with restrained controls in Banach spaces, Optimization, 21(1990), 271-280 (1990)
  70. 70. Nguyễn Khoa Sơn, A unified approach to constrained approximate controllability for the heat equations and the retarded equations, Journal of Mathematical Analysis and Applications, 159(1990), 1-19 (1990)
  71. 71. Nguyễn Khoa Sơn, Some remarks on the global controllability of linear discrete-time systems with bounded controls, Bollet. Uni. Mat. Italiana, Anal. Funz. Appl., Serie VI, V(1986), 245-254. (1986)
  72. 72. Nguyễn Khoa Sơn, Nguyen Van Su, Linear periodic systems: Controllability with restrained controls, Applied Mathematics and Optimization, 14(1986), 173-195 (1986)
  73. 73. Nguyễn Khoa Sơn, On the null-controllability of linear discrete-time systems with restrained controls, Journal of Optimization Theory and Applications, 50(1986), 313-329 (1986)
  74. 74. Nguyễn Khoa Sơn, Global controllability of linear autonomous systems : a geometric consideration, Systems and Control Letters, 6(1985), 207-212 (1985)
  75. 75. Nguyễn Khoa Sơn, Controllability of linear discrete-time systems with constrained controls in Banach spaces, Control and Cybern. 10 (1981), 5 - 16 (1981)
  76. 76. Nguyễn Khoa Sơn, Local controllability of linear systems with restrained controls in Banach space, Acta Math. Vietnam. 5 (1980), 78 - 87 (1980)
  77. 77. Korobov. V. I, Nguyễn Khoa Sơn, Controllability of linear systems in a Banach space in the presence of constraints on controls, I, Differ. Uravnenia 16 (1980), 806 - 817 (1980)
  78. 78. Korobov. V. I, Nguyễn Khoa Sơn, Controllability of linear systems in a Banach space in the presence of constraints on controls, II, Differ. Uravnenia 16 (1980), 1010 - 1022 (1980)
  79. 79. Nguyễn Khoa Sơn, $\sigma$ controllability of linear autonomous systems with constraints on controls, Differ. Uravnenia 16 (1980), 394 - 404 (1980)
  80. 80. Nguyễn Khoa Sơn, Controllability of nonlinear systems with damped perturbations, Vestnik Kharkov Univ. 43 (1978), 21 - 34 (1978)
  81. 81. Nguyễn Khoa Sơn, Controllability of dynamical systems in the presence of constraints on controls, Ph. D. Thesis, Kharkov University, 1978, Kharkov (1978)