Nguyễn Khoa Sơn
GS. TSKH. NCVCC (Cộng tác viên)

Cộng tác viên
Hướng nghiên cứu: Ổn định và điều khiển bền vững


Liên hệ
Phòng làm việc: Nhà A2
Điện thoại: +84 (0)4 37563474
Email: nkson AT math.ac.vn nkson AT vast.vn

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

DANH SÁCH CÔNG TRÌNH

Danh sách trong Mathscinet

Danh sách gần đây
1Nguyễn 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. (Scopus).
2Nguyễn Khoa Sơn, Le Van Ngoc, 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, (SCI-E, Scopus).
3Nguyễn Khoa Sơn, Le Trung Hieu, Cao Thanh Tinh, Do Duc Thuan, New criteria for exponential stability of a class of nonlinear continuous-time difference systems with delays, International Journal of Control, 96 (2023), 1650-1660, (SCI-E, Scopus).
4Nguyễn Khoa Sơn, Le Van Ngoc, Exponential stability analysis for a class of switched nonlinear time-varying functional differential systems, Nonlinear Analysis: Hybrid Systems, 44 (2022), 17 pages, (SCI-E, Scopus).
5Nguyễn 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. (SCI-E, Scopus, Preprint: download here).
6Nguyễn Khoa Sơn, Le Van Ngoc, On robust stability of switched linear systems, IET Control Theory \& Applications  14 No. 1 (2020), 19-29. (SCI-E, Scopus).
7Nguyễn Khoa Sơn, Nguyễn Thị Hồng, On Structured Distance to Uncontrollability of General Linear Retarded Systems, Acta Mathematica Vietnamica volume 45, (2020), pages411–433, Scopus.
8Nguyễn 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, SCI(-E); Scopus.
9Nguyễn Khoa Sơn, Do Duc Thuan, Nguyễn Thị Hồng, Radius of approximate controllability of linear retarded systems under structured perturbations, Systems & Control Letters, 84 (2015), 13–20, SCI(-E), Scopus.
10Nguyễn Khoa Sơn, Do Duc Thuan, The structured controllability radii of higher order systems, Linear Algebra and its Applications, 438 (2013), 2701 - 2716, SCI(-E); Scopus.
11Nguyễn Khoa Sơn, Do Duc Thuan, 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, SCI(-E); Scopus.
12Nguyễn Khoa Sơn, B. T. Anh and B. T. 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, SCI(-E); Scopus.
13Nguyễn Khoa Sơn, Do Duc Thuan, 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, SCI(-E); Scopus.
14Nguyễn Khoa Sơn, D. D. Thuan, The structured controllability radii of higher order descriptor systems,  Vietnam Journal of Mathematics 38 (2010), 373 - 380, Scopus.
15Nguyễn Khoa Sơn, B. T. Anh, Robust stability of a class of positive Quasi-polynomials in banach spaces, Mathematical Notes 88 (2010), 651 - 661, SCI(-E); Scopus.
16Nguyễn Khoa Sơn, B. T. Anh, Robust stability of positive linear systems in Banach spaces, Journal of Difference Equations and Applications, 16 (2010), 1447 -- 1461, SCI(-E); Scopus.
17Nguyễn Khoa Sơn, B. T. Anh, The robustness of strong stability of posititive homogeneous difference systems under parameter perturbations, Numerical Functional Analysis and Optimization, 31 (2010), 97 -- 111, SCI(-E); Scopus.
18Nguyễn Khoa Sơn, D. D. Thuan, The structured distance to uncontrollability under multi-perturbations: an approach using multi-valued linear operators, Systems and Control Letters, 59 (2010), 476 -- 483, SCI(-E); Scopus.
19Nguyễn Khoa Sơn, B. T. Anh, Robust stability of delay difference systems under fractional perturbations in infinite-dimensional spaces, International Journal of Control, 83 (2010), 498 -- 505, SCI(-E); Scopus.
20Bui The Anh, Nguyễn Khoa Sơn, Duong Dang Xuan Thanh, Perron-Frobenius theorem for positive polynomial operators in Banach lattices, Positivity, 13 (2009), 709-716.
21Bui 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.
22Nguyễn Khoa Sơn, B. T. Anh, Robust stability of Metzler operators under parameter perturbations, International Journal of Robust and Nonlinear control, 19 (2009), 1931 -- 1939.
23Nguyễn Khoa Sơn, B. T. Anh, Stability radii of positive linear systems under fractional perturbations, Int. J. Robust & Nonlinear Control, 19 (2009), 1267 - 1277.
24Nguyễn Khoa Sơn, Do Duc Thuan, Controllability radius of linear systems with perturbed control sets, Vietnam J. Math. 36 (2008), 239–251.
25B. T. Anh, Nguyễn Khoa Sơn, D. D. X. Thanh, Stability radii of delay difference systems under affine parameter perturbations in infinite dimensional spaces, Appl. Math. Comput. 202 (2008), 562 - 570.
26Bui The Anh, Nguyễn Khoa Sơn, Stability radii of positive higher order difference system in infinite dimensional spaces, Systems Control Lett. 57 (2008), 822 - 827.
27Bui The Anh, Nguyễn Khoa Sơn, Stability radii of positive linear systems under affine parameter perturbations in infinite dimensional spaces, Positivity 12 (2008), 677 - 690.
28Nguyễn Khoa Sơn, Do Duc Thuan, Controllability radius of linear systems under structured perturbations, Vietnam J. Math., 36 (2008), 473-479.
29B. T. Anh, Nguyễn Khoa Sơn, and D. D. X. Thanh, Robust stability of Metzler operator and delay equation in $L^p([-h,0];X)$, Vietnam J. Math. 34 (2006), 357 - 368.
30Pham Huu Anh Ngoc, Nguyễn Khoa Sơn, Stability radii of linear systems under multi-perturbations. Numer. Funct. Anal. Optim. 25 (2005), 221 - 238.
31Nguyễn Khoa Sơn, N. D. Huy, Maximizing the stability radius of discrete-time linear positive systems by linear feedbacks, Vietnam J. Math. 33 (2005), 161 - 171.
32Pham Huu Anh Ngoc, Nguyễn Khoa Sơn, Stability radii of positive linear functional differential equations under multi-perturbations, SIAM J. Control Optim. 43 (2005), 2278 - 2295.
33Nguyen Dinh Huy, Nguyễn Khoa Sơn, Existence of solution for multi-valued integral equations, Vietnam J. Math. 32 (2004), 323 - 329.
34Nguyễn Khoa Sơn, P. H. A. Ngoc, Stability radii of linear systems under multi-perturbations, Numer. Funct. Anal. Optim. 25 (2004), 221 - 238.
35D. Hinrichsen, Nguyễn Khoa Sơn, Pham Huu Anh Ngoc, Stability radii of higher order positive difference systems, Systems Control Lett. 49 (2003), 377 - 388.
36Pham Huu Anh Ngoc, Nguyễn Khoa Sơn, Stability radii of positive linear difference equations under affine parameter perturbations, Appl. Math. Comput. 134 (2003), 577 - 594.
37Nguyễn Khoa Sơn, Pham Huu Anh Ngoc, Stability radii of linear discrete-time systems with delays, Vietnam J. Math. 29 (2001), N0 4, 379 - 384.
38Nguyễn Khoa Sơn, Pham Huu Anh Ngoc, Stability radii of linear functional differential equations, Vietnam J. Math. 29 (2001), 85 - 89.
39Nguyễn Khoa Sơn, P. H. A. Ngoc, Robust stability of linear functional differential equations, Adv. Stud. Contemp. Math. (Pusan) 3 (2001),  43 - 59.
40Nguyễn Khoa Sơn, Pham Huu Anh Ngoc, Robust stability of positive linear time-delay systems under affine parameter perturbations. Acta Math. Vietnam. 24 (1999), 353 - 371.
41Nguyễn Khoa Sơn, Pham Huu Anh Ngoc, Stability of linear infinite-dimensional systems under affine and fractional perturbations. Vietnam J. Math. 27 (1999), 153 - 167.
42Nguyễn 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.
43Hinrichsen D., 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.
44Nguyễn Khoa Sơn, D. Hinrichsen, $\mu$ analysis and robust stability of positive linear systems. Appl. Math. Comput. Sci. 8 (1998), N0 2, 253 - 268.
45Nguyễn Khoa Sơn, Pham Huu Anh Ngoc, Complex stability radius of linear retarded systems. Vietnam J. Math. 26 (1998), 379 - 384.
46D. Hinrichsen, Nguyễn Khoa Sơn, Stability radii of positive discrete-time systems under affine parameter perturbations, Int. J. for Nonlinear & Robust Control, 8 (1998), 1169 - 1188.
47A. Fischer, D. Hinrichsen, Nguyễn Khoa Sơn, Stability radii of Metzler operators. Vietnam J. Math. 26 (1998) 147 - 162.
48Hinrichsen D, Nguyễn Khoa Sơn, Stability radii of positive discrete-time systems. Proceedings of the 3rd International Conference on Approximation and Optimization in the Caribbean (Puebla, 1995), 13 pp. (electronic), Benemérita Univ. Autón. Puebla, Puebla, 1997.
49Nguyễn Khoa Sơn, Approximate controllability with positive controls. Acta Math. Vietnam. 22 (1997), 589 - 620.
50Nguyen Dinh Huy, Nguyễn Khoa Sơn, On the existence of solutions to functional differential inclusions with boundary values. Vietnam J. Math. 25 (1997), 331 - 340.
51Nguyễn Khoa Sơn, D. Hinrichsen, Robust stability positive continuous time systems. Numer. Funct. Anal. Optim. 17 (1996), 649 - 659.
52Nguyễn 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.
53Diederich Hinrichsen, Nguyễn Khoa Sơn, On structured singular values and robust stability radii of systems under affine perturbations. Vietnam J. Math. 1 (1996), 112 - 117.
54Nguyen Dinh Huy, Nguyễn Khoa Sơn, Existence and relaxation of solutions of functional differential inclusions. Vietnam J. Math. 2 (1995), 279 - 291.
55Nguyễn Khoa Sơn, D. Hinrichsen, Stability radii of positive dynamical systems, In: Proceedings of Inter. Congress of Industrial and Applied Mathematics, ICIAM'95, Hamburg, FRG, July 3-9, 1995, Zeitschrift fur Angewandte Mathematik und Mechanik, ZAMM, Vol. 2 : Applied Analysis, 756 - 758.
56Nguyễn 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.
57Nguyễn Khoa Sơn, On the real stability radius of positive linear discrete-time systems. Numer. Funct. Anal. Optim. 16 (1995).
58Nguyễn Khoa Sơn, On the real stability radius of positive linear systems. Vietnam J. Math 23 (1995), 151 - 155.
59Nguyễn Khoa Sơn, On the existence for positive eigenvalues of convex set-valued maps. Vietnam J. Math. 22 (1994), 109 - 113.
60Nguyễn Khoa Sơn, Dynamical systems with state and control constraints: controllability and related topics. Vietnam J. Math. 21 (1993), 1 - 35.
61Nguyễn 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), 43 - 58.
62Nguyễn Khoa Sơn, D. Hinrichsen, The complex stability radii of discrete-time systems and simpletic pencils. Int. J. of Nonlinear & Robust Control, 1 (1991), 79 - 91.
63Nguyen Dinh Huy, Nguyễn Khoa Sơn, On the existence of solutions for functional differential inclusions in Banach spaces. Acta Math. Vietnam. 16 (1991), 46 - 60.
64Nguyễn Khoa Sơn, Constrained controllability of infinite dimensional systems with applications. Dr. Sc. Thesis. Institute of Mathematics, PAN, Warsaw, 1990.
65Nguyễn Khoa Sơn, A unified approach to constrained approximate controllability for the heat equations and the retarded equations. J. Math. Anal. Appl. 159 (1990), 1 - 19.
66Nguyễn Khoa Sơn, Approximate controllability with positive controls for linear retarded systems: a discrete-time approach. System modelling and optimization (Leipzig, 1989), 403–412, Lecture Notes in Control and Inform. Sci., 143, Springer, Berlin, 1990.
67Vũ Ngọc Phát, Nguyễn Khoa Sơn, Linear nonstationary discrete-time systems: Null controllability with restrained controls in Banach spaces. Optimization. 2 (1990), 271 - 279.
68D. Hinrichsen, Nguyễn Khoa Sơn, Stability radius of discrete-time systems and simpletic pencils. In: Proceedings of the 28th IEEE Conference on Control and Decision, Tampa, USA, 1989, 2265 - 2270.
69Nguyễn 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.
70Nguyễn Khoa Sơn, Nguyen Van Su, Linear periodic systems : Controllability with restrained controls. Appl. Math. Optim. 14 (1986), 173 - 195.
71Nguyễn Khoa Sơn, On the null-controllability of linear discrete-time systems with restrained controls. J. Optim. Theory Appl. 50 (1986), 313 - 329.
72Nguyễn Khoa Sơn, Le Thanh, On the null-controllability of infinite dimensional discrete-time systems. Acta Math. Vietnam. 10 (1985), 3 - 14.
73Nguyễn Khoa Sơn, Global controllability of linear autonomous systems: a geometric consideration. Systems Control Lett. 6 (1985), 207 - 212.
74Nguyễn Khoa Sơn, Linear systems with state constraints in Banach spaces. Acta Math. Vietnam. 7 (1982), 71 - 85.
75Nguyễn Khoa Sơn, Controllability of linear discrete-time systems with constrained controls in Banach spaces. Control and Cybern. 10 (1981), 5 - 16.
76Nguyễn Khoa Sơn, $\sigma$ controllability of linear autonomous systems with constraints on controls. Differ. Uravnenia 16 (1980), 394 - 404 (in Russian).
77 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 (in Russian).
78 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 (in Russian).
79Nguyễn Khoa Sơn, Local controllability of linear systems with restrained controls in Banach space.  Acta Math. Vietnam. 5 (1980), 78 - 87.
80Nguyễn Khoa Sơn, Controllability of dynamical systems in the presence of constraints on controls. Ph. D. Thesis, Kharkov University, 1978, Kharkov (in Russian).
81Nguyễn Khoa Sơn, Controllability of nonlinear systems with damped perturbations. Vestnik Kharkov Univ. 43 (1978), 21 - 34 (in Russian).
Tiền ấn phẩm
1Nguyễn Khoa Sơn, Le Trung Hieu, Cao Thanh Tinh, Do Duc Thuan, New criteria for exponential stability of a class of nonlinear continuous-time difference systems with delays, International Journal of Control, 95 (2022), 11 pages.