Nguyen Khoa Son
Emeritus Professor
Cộng tác viên

Address
Office: Building A2
Tel: +84 (0)4 37563474
Email: nkson AT math.ac.vn nkson AT vast.vn
Born in Hue in 1948
Education and academic degrees:
 1972: Bachelor/Master: State University of Kharkov, Ukraine
 1978: PhD, State University of Kharkov, Ukraine
 1990: Dr. habil., Institute of Mathematics, Polish Academy of Sciences, Warsaw
 1991: Associate Professor
 1996: Full Professor
Positions:
 Deputy Director, Institute of Mathematics, 19951998
 ViceDirector General, National Centre for Natural Sciences and Technology, 20012004
 VicePresident, Vietnam Academy of Science and Technology, 20042008
 EditorinChief, Vietnam Journal of Mathematics, 19972011
 Chairman of Steering Board, Research program for space science and technology (20082011, 20122015)
Research areas: differential equations, optimization and control theory
PUBLICATIONS
List of publications in MathSciNet
List of recent publications
1  Nguyen Khoa Son, 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, (SCIE, Scopus). 
2  Nguyen Khoa Son, Le Trung Hieu, Cao Thanh Tinh, Do Duc Thuan, New criteria for exponential stability of a class of nonlinear continuoustime difference systems with delays, International Journal of Control, 96 (2023), 16501660, (SCIE, Scopus). 
3  Nguyen Khoa Son, Le Van Ngoc, Exponential stability analysis for a class of switched nonlinear timevarying functional differential systems, Nonlinear Analysis: Hybrid Systems, 44 (2022), 17 pages, (SCIE, Scopus). 
4  Nguyen Khoa Son, Nguyen Nang Thieu, Nguyen Dong Yen, On the solution existence for proxregular perturbed sweeping processes, Journal of Nonlinear and Variational Analysis 5 (2021), no. 6, 851863. (SCIE, Scopus, Preprint: download here). 
5  Nguyen Khoa Son, Le Van Ngoc, On robust stability of switched linear systems, IET Control Theory \& ApplicationsÂ 14 No. 1 (2020), 1929. (SCIE, Scopus). 
6  Nguyen Khoa Son, Nguyen Thi Hong, On Structured Distance to Uncontrollability of General Linear Retarded Systems, Acta Mathematica Vietnamica volume 45, (2020), pages411–433, Scopus. 
7  Nguyen Khoa Son, 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. 
8  Nguyen Khoa Son, Do Duc Thuan, Nguyen Thi Hong, Radius of approximate controllability of linear retarded systems under structured perturbations, Systems & Control Letters, 84 (2015), 13–20, SCI(E), Scopus. 
9  Nguyen Khoa Son, Do Duc Thuan, The structured controllability radii of higher order systems, Linear Algebra and its Applications, 438 (2013), 2701  2716, SCI(E); Scopus. 
10  Nguyen Khoa Son, Do Duc Thuan, The structured distance to nonsurjectivity and its application to calculating the controllability radius of descriptor systems, Journal of Mathematical Analysis and Applications, 388 (2012), 272–281, SCI(E); Scopus. 
11  Nguyen Khoa Son, 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. 
12  Nguyen Khoa Son, 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), 441453, SCI(E); Scopus. 
13  Nguyen Khoa Son, D. D. Thuan, The structured controllability radii of higher order descriptor systems, Vietnam Journal of Mathematics 38 (2010), 373  380, Scopus. 
14  Nguyen Khoa Son, B. T. Anh, Robust stability of a class of positive Quasipolynomials in banach spaces, Mathematical Notes 88 (2010), 651  661, SCI(E); Scopus. 
15  Nguyen Khoa Son, 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. 
16  Nguyen Khoa Son, 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. 
17  Nguyen Khoa Son, D. D. Thuan, The structured distance to uncontrollability under multiperturbations: an approach using multivalued linear operators, Systems and Control Letters, 59 (2010), 476  483, SCI(E); Scopus. 
18  Nguyen Khoa Son, B. T. Anh, Robust stability of delay difference systems under fractional perturbations in infinitedimensional spaces, International Journal of Control, 83 (2010), 498  505, SCI(E); Scopus. 
19  Bui The Anh, Nguyen Khoa Son, Duong Dang Xuan Thanh, PerronFrobenius theorem for positive polynomial operators in Banach lattices, Positivity, 13 (2009), 709716. 
20  Bui The Anh, Nguyen Khoa Son, Duong Dang Xuan Thanh, Stability radii of positive linear timedelay systems under fractional perturbations, Systems & control letters, 58 (2009), 155159. 
21  Nguyen Khoa Son, B. T. Anh, Robust stability of Metzler operators under parameter perturbations, International Journal of Robust and Nonlinear control, 19 (2009), 1931  1939. 
22  Nguyen Khoa Son, B. T. Anh, Stability radii of positive linear systems under fractional perturbations, Int. J. Robust & Nonlinear Control, 19 (2009), 1267  1277. 
23  Nguyen Khoa Son, Do Duc Thuan, Controllability radius of linear systems with perturbed control sets, Vietnam J. Math. 36 (2008), 239–251. 
24  B. T. Anh, Nguyen Khoa Son, 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. 
25  Bui The Anh, Nguyen Khoa Son, Stability radii of positive higher order difference system in infinite dimensional spaces, Systems Control Lett. 57 (2008), 822  827. 
26  Bui The Anh, Nguyen Khoa Son, Stability radii of positive linear systems under affine parameter perturbations in infinite dimensional spaces, Positivity 12 (2008), 677  690. 
27  Nguyen Khoa Son, Do Duc Thuan, Controllability radius of linear systems under structured perturbations, Vietnam J. Math., 36 (2008), 473479. 
28  B. T. Anh, Nguyen Khoa Son, 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. 
29  Pham Huu Anh Ngoc, Nguyen Khoa Son, Stability radii of linear systems under multiperturbations. Numer. Funct. Anal. Optim. 25 (2005), 221  238. 
30  Nguyen Khoa Son, N. D. Huy, Maximizing the stability radius of discretetime linear positive systems by linear feedbacks, Vietnam J. Math. 33 (2005), 161  171. 
31  Pham Huu Anh Ngoc, Nguyen Khoa Son, Stability radii of positive linear functional differential equations under multiperturbations, SIAM J. Control Optim. 43 (2005), 2278  2295. 
32  Nguyen Dinh Huy, Nguyen Khoa Son, Existence of solution for multivalued integral equations, Vietnam J. Math. 32 (2004), 323  329. 
33  Nguyen Khoa Son, P. H. A. Ngoc, Stability radii of linear systems under multiperturbations, Numer. Funct. Anal. Optim. 25 (2004), 221  238. 
34  D. Hinrichsen, Nguyen Khoa Son, Pham Huu Anh Ngoc, Stability radii of higher order positive difference systems, Systems Control Lett. 49 (2003), 377  388. 
35  Pham Huu Anh Ngoc, Nguyen Khoa Son, Stability radii of positive linear difference equations under affine parameter perturbations, Appl. Math. Comput. 134 (2003), 577  594. 
36  Nguyen Khoa Son, Pham Huu Anh Ngoc, Stability radii of linear discretetime systems with delays, Vietnam J. Math. 29 (2001), N0 4, 379  384. 
37  Nguyen Khoa Son, Pham Huu Anh Ngoc, Stability radii of linear functional differential equations, Vietnam J. Math. 29 (2001), 85  89. 
38  Nguyen Khoa Son, P. H. A. Ngoc, Robust stability of linear functional differential equations, Adv. Stud. Contemp. Math. (Pusan) 3 (2001), 43  59. 
39  Nguyen Khoa Son, Pham Huu Anh Ngoc, Robust stability of positive linear timedelay systems under affine parameter perturbations. Acta Math. Vietnam. 24 (1999), 353  371. 
40  Nguyen Khoa Son, Pham Huu Anh Ngoc, Stability of linear infinitedimensional systems under affine and fractional perturbations. Vietnam J. Math. 27 (1999), 153  167. 
41  Nguyen Khoa Son, Pham Huu Anh Ngoc, Stability radius of linear delay systems, In: Proc. American Control Conference, San Diego, California, USA, June 1999, 815  817. 
42  Hinrichsen D., Nguyen Khoa Son, Stability radii of positive discretetime systems. 3rd International Conference on Approximation and Optimization in the Caribbean (Puebla, 1995), 113–124, Aportaciones Mat. Comun., 24, Soc. Mat. Mexicana, México, 1998. 
43  Nguyen Khoa Son, D. Hinrichsen, $\mu$ analysis and robust stability of positive linear systems. Appl. Math. Comput. Sci. 8 (1998), N0 2, 253  268. 
44  Nguyen Khoa Son, Pham Huu Anh Ngoc, Complex stability radius of linear retarded systems. Vietnam J. Math. 26 (1998), 379  384. 
45  D. Hinrichsen, Nguyen Khoa Son, Stability radii of positive discretetime systems under affine parameter perturbations, Int. J. for Nonlinear & Robust Control, 8 (1998), 1169  1188. 
46  A. Fischer, D. Hinrichsen, Nguyen Khoa Son, Stability radii of Metzler operators. Vietnam J. Math. 26 (1998) 147  162. 
47  Hinrichsen D, Nguyen Khoa Son, Stability radii of positive discretetime 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. 
48  Nguyen Khoa Son, Approximate controllability with positive controls. Acta Math. Vietnam. 22 (1997), 589  620. 
49  Nguyen Dinh Huy, Nguyen Khoa Son, On the existence of solutions to functional differential inclusions with boundary values. Vietnam J. Math. 25 (1997), 331  340. 
50  Nguyen Khoa Son, D. Hinrichsen, Robust stability positive continuous time systems. Numer. Funct. Anal. Optim. 17 (1996), 649  659. 
51  Nguyen Khoa Son, D. Hinrichsen, $\mu$values analysis and stability radii of positive systems under blockdiagonal affine perturbations, In: Proc. International Symposium on Automation and Robotics, Szeszin, August 1  6, 1996, Poland, 256  266. 
52  Diederich Hinrichsen, Nguyen Khoa Son, On structured singular values and robust stability radii of systems under affine perturbations. Vietnam J. Math. 1 (1996), 112  117. 
53  Nguyen Dinh Huy, Nguyen Khoa Son, Existence and relaxation of solutions of functional differential inclusions. Vietnam J. Math. 2 (1995), 279  291. 
54  Nguyen Khoa Son, D. Hinrichsen, Stability radii of positive dynamical systems, In: Proceedings of Inter. Congress of Industrial and Applied Mathematics, ICIAM'95, Hamburg, FRG, July 39, 1995, Zeitschrift fur Angewandte Mathematik und Mechanik, ZAMM, Vol. 2 : Applied Analysis, 756  758. 
55  Nguyen Khoa Son, 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. 
56  Nguyen Khoa Son, On the real stability radius of positive linear discretetime systems. Numer. Funct. Anal. Optim. 16 (1995). 
57  Nguyen Khoa Son, On the real stability radius of positive linear systems. Vietnam J. Math 23 (1995), 151  155. 
58  Nguyen Khoa Son, On the existence for positive eigenvalues of convex setvalued maps. Vietnam J. Math. 22 (1994), 109  113. 
59  Nguyen Khoa Son, Dynamical systems with state and control constraints: controllability and related topics. Vietnam J. Math. 21 (1993), 1  35. 
60  Nguyen Khoa Son, 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. 
61  Nguyen Khoa Son, D. Hinrichsen, The complex stability radii of discretetime systems and simpletic pencils. Int. J. of Nonlinear & Robust Control, 1 (1991), 79  91. 
62  Nguyen Dinh Huy, Nguyen Khoa Son, On the existence of solutions for functional differential inclusions in Banach spaces. Acta Math. Vietnam. 16 (1991), 46  60. 
63  Nguyen Khoa Son, Constrained controllability of infinite dimensional systems with applications. Dr. Sc. Thesis. Institute of Mathematics, PAN, Warsaw, 1990. 
64  Nguyen Khoa Son, A unified approach to constrained approximate controllability for the heat equations and the retarded equations. J. Math. Anal. Appl. 159 (1990), 1  19. 
65  Nguyen Khoa Son, Approximate controllability with positive controls for linear retarded systems: a discretetime approach. System modelling and optimization (Leipzig, 1989), 403–412, Lecture Notes in Control and Inform. Sci., 143, Springer, Berlin, 1990. 
66  Vu Ngoc Phat, Nguyen Khoa Son, Linear nonstationary discretetime systems: Null controllability with restrained controls in Banach spaces. Optimization. 2 (1990), 271  279. 
67  D. Hinrichsen, Nguyen Khoa Son, Stability radius of discretetime systems and simpletic pencils. In: Proceedings of the 28th IEEE Conference on Control and Decision, Tampa, USA, 1989, 2265  2270. 
68  Nguyen Khoa Son, Some remarks on the global controllability of linear discretetime systems with bounded controls. Bollet. Uni. Mat. Italiana, Anal. Funz. Appl., Serie VI, V (1986), 245  254. 
69  Nguyen Khoa Son, Nguyen Van Su, Linear periodic systems : Controllability with restrained controls. Appl. Math. Optim. 14 (1986), 173  195. 
70  Nguyen Khoa Son, On the nullcontrollability of linear discretetime systems with restrained controls. J. Optim. Theory Appl. 50 (1986), 313  329. 
71  Nguyen Khoa Son, Le Thanh, On the nullcontrollability of infinite dimensional discretetime systems. Acta Math. Vietnam. 10 (1985), 3  14. 
72  Nguyen Khoa Son, Global controllability of linear autonomous systems: a geometric consideration. Systems Control Lett. 6 (1985), 207  212. 
73  Nguyen Khoa Son, Linear systems with state constraints in Banach spaces. Acta Math. Vietnam. 7 (1982), 71  85. 
74  Nguyen Khoa Son, Controllability of linear discretetime systems with constrained controls in Banach spaces. Control and Cybern. 10 (1981), 5  16. 
75  Nguyen Khoa Son, $\sigma$ controllability of linear autonomous systems with constraints on controls. Differ. Uravnenia 16 (1980), 394  404 (in Russian). 
76  Korobov. V. I, Nguyen Khoa Son, Controllability of linear systems in a Banach space in the presence of constraints on controls, II. Differ. Uravnenia 16 (1980), 1010  1022 (in Russian). 
77  Korobov. V. I, Nguyen Khoa Son, Controllability of linear systems in a Banach space in the presence of constraints on controls, I. Differ. Uravnenia 16 (1980), 806  817 (in Russian). 
78  Nguyen Khoa Son, Local controllability of linear systems with restrained controls in Banach space. Acta Math. Vietnam. 5 (1980), 78  87. 
79  Nguyen Khoa Son, Controllability of dynamical systems in the presence of constraints on controls. Ph. D. Thesis, Kharkov University, 1978, Kharkov (in Russian). 
80  Nguyen Khoa Son, Controllability of nonlinear systems with damped perturbations. Vestnik Kharkov Univ. 43 (1978), 21  34 (in Russian). 
1  Nguyen Khoa Son, Le Trung Hieu, Cao Thanh Tinh, Do Duc Thuan, New criteria for exponential stability of a class of nonlinear continuoustime difference systems with delays, International Journal of Control, 95 (2022), 11 pages. 
Highlights
23/09/24, Conference: Hội thảo quốc tế "Lược đồ nhóm và một số chủ đề liên quan" 
28/09/24, Conference: Hội thảo "Gặp gỡ toán học 2024  Hội thảo Khoa học các nhà nghiên cứu trẻ" 
28/10/24, Conference: School and Workshop “Selected topics in Arithmetic Algebraic Geometry” 
01/12/24, Conference: Hội thảo quốc tế về Đại số giao hoán và mối liên quan với Tổ hợp 