Nguyen Khoa Son
Professor. Dr. Sc.
Research Interest: Robust stability and Controlability
Contact
Details of publications available at here
Scientific CV
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, 1995-1998
- Vice-Director General, National Centre for Natural Sciences and Technology, 2001-2004
- Vice-President, Vietnam Academy of Science and Technology, 2004-2008
- Editor-in-Chief, Vietnam Journal of Mathematics, 1997-2011
- Chairman of Steering Board, Research program for space science and technology (2008-2011, 2012-2015)
Research areas: differential equations, optimization and control theory
Scientific Publications
Publications
- 1. Nguyen Khoa Son, Nguyen Thi Hong, 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. Nguyen Khoa Son, Nguyen Thi Hong, Le Van Ngoc, 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. Nguyen Khoa Son, Nguyen Thi Hong, 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. 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 (2024)
- 5. Nguyen Khoa Son, 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 (2023)
- 6. Nguyen Khoa Son, 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, (2022)
- 7. Nguyen Khoa Son, Nguyen Nang Thieu, Nguyen Dong Yen, On the solution existence for prox-regular perturbed sweeping processes, Journal of Nonlinear and Variational Analysis 5 (2021), no. 6, 851-863. (2021)
- 8. Nguyen Khoa Son, Le Van Ngoc, On robust stability of switched linear systems, IET Control Theory and Appl., 2020, Vol. 14, pp 19-29 (2020)
- 9. Nguyen Khoa Son, Nguyen Thi Hong, On Structured Distance to Uncontrollability of General Linear Retarded Systems, Acta Mathematica Vietnamica volume 45, (2020), pages411–433 (2020)
- 10. Do Duc Thuan, Nguyen Khoa Son, 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. Nguyen Khoa Son, Do Duc Thuan, Controllability radii of linear systems with constrained controls under structured perturbations, SIAM Journal on Control and Optimization, 54 (2016), 2820–2843 (2016)
- 12. 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 (2015)
- 13. Nguyen Khoa Son, Do Duc Thuan, The structured controllability radii of higher order systems, Linear Algebra and its Applications, 438 (2013), 2701 - 2716 (2013)
- 14. Nguyen Khoa Son, 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 (2012)
- 15. Bui The Anh, Nguyen Khoa Son, 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. 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), 441-453 (2011)
- 17. Bui The Anh, Nguyen Khoa Son, Robust stability of a class of positive quasi-polynomials in Banach spaces, Mathematical Notes, Volume 88, pages 626–636 (2010) (2010)
- 18. Nguyen Khoa Son, Do Duc Thuan, The structured controllability radii of higher order descriptor systems, Vietnam Journal of Mathematics 38 (2010), 373 - 380 (2010)
- 19. Bui The Anh, Nguyen Khoa Son, Robust stability of a class of positive Quasi-polynomials in banach spaces, Mathematical Notes 88 (2010), 651 - 661 (2010)
- 20. Bui The Anh, Nguyen Khoa Son, Robust stability of positive linear systems in Banach spaces, Journal of Difference Equations and Applications, 16 (2010), 1447 -- 1461 (2010)
- 21. Bui The Anh, Nguyen Khoa Son, The robustness of strong stability of posititive homogeneous difference systems under parameter perturbations, Numerical Functional Analysis and Optimization, 31 (2010), 97 -- 111 (2010)
- 22. Nguyen Khoa Son, Do Duc Thuan, 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. Bui The Anh, Nguyen Khoa Son, Robust stability of delay difference systems under fractional perturbations in infinite-dimensional spaces, International Journal of Control, 83 (2010), 498 -- 505 (2010)
- 24. Bui The Anh, Nguyen Khoa Son, Duong Dang Xuan Thanh, Perron-Frobenius theorem for positive polynomial operators in Banach lattices, Positivity, 13 (2009), 709-716. (2009)
- 25. Bui The Anh, Nguyen Khoa Son, Duong Dang Xuan Thanh, Stability radii of positive linear time-delay systems under fractional perturbations, Systems & control letters, 58 (2009), 155-159 (2009)
- 26. Bui The Anh, Nguyen Khoa Son, Robust stability of Metzler operators under parameter perturbations, International Journal of Robust and Nonlinear control, 19 (2009), 1931 -- 1939 (2009)
- 27. Bui The Anh, Nguyen Khoa Son, Stability radii of positive linear systems under fractional perturbations, International Journal of Robust and Nonlinear Control, 19 (2009), 1267 - 1277 (2009)
- 28. Nguyen Khoa Son, Do Duc Thuan, Controllability radius of linear systems with perturbed control sets, Vietnam J. Math. 36 (2008), 239–251. (2008)
- 29. Bui The Anh, Nguyen Khoa Son, 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. Bui The Anh, Nguyen Khoa Son, Stability radii of positive higher order difference system in infinite dimensional spaces, Systems & Control Letters, 57 (2008), 822 - 827 (2008)
- 31. 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 (2008)
- 32. Nguyen Khoa Son, Do Duc Thuan, Controllability radius of linear systems under structured perturbations, Vietnam J. Math., 36 (2008), 473-479 (2008)
- 33. Bui The Anh, Nguyen Khoa Son, 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. Pham Huu Anh Ngoc, Nguyen Khoa Son, Stability radii of linear systems under multi-perturbations, Numerical Functional Analysis and Optimization, 25 (2005), 221 - 238. (2005)
- 35. Nguyen Khoa Son, 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. Pham Huu Anh Ngoc, Nguyen Khoa Son, Stability radii of positive linear functional differential equations under multi-perturbations, SIAM Journal on Control and Optimization, 43 (2005), 2278 - 2295. (2005)
- 37. Nguyen Dinh Huy, Nguyen Khoa Son, Existence of solution for multi-valued integral equations, Vietnam Journal of Mathematics, 32 (2004), 323 - 329. (2004)
- 38. D. Hinrichsen, Nguyen Khoa Son, Pham Huu Anh Ngoc, Stability radii of higher order positive difference systems, Systems & Control Letters, 49 (2003), 377 - 388. (2003)
- 39. Pham Huu Anh Ngoc, Nguyen Khoa Son, Stability radii of positive linear difference equations under affine parameter perturbations, Applied Mathematics and Computation, 34 (2003), 577 - 594. (2003)
- 40. Nguyen Khoa Son, 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. Nguyen Khoa Son, Pham Huu Anh Ngoc, Stability radii of linear functional differential equations, Vietnam Journal of Mathematics, 29 (2001), 85 - 89. (2001)
- 42. Nguyen Khoa Son, Pham Huu Anh Ngoc, Robust stability of linear functional differential equations, Adv. Stud. Contemp. Math. (Pusan) 3 (2001), 43 - 59. (2001)
- 43. Nguyen Khoa Son, 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. Nguyen Khoa Son, 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. Nguyen Khoa Son, Pham Huu Anh Ngoc, Stability of linear infinite-dimensional systems under affine and fractional perturbations, Vietnam J. Math. 27 (1999), 153 - 167. (1999)
- 46. 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. (1999)
- 47. Fischer. D, D. Hinrichsen, Nguyen Khoa Son, Robust stability of Metzler operators, Vietnam J. of Mathematics, 26(1998) 147-162. (1998)
- 48. D. Hinrichsen, Nguyen Khoa Son, 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. Nguyen Khoa Son, D. Hinrichsen, $\mu$ analysis and robust stability of positive linear systems, Appl. Math. Comput. Sci. 8 (1998), N0 2, 253 - 268. (1998)
- 50. Nguyen Khoa Son, Pham Huu Anh Ngoc, Complex stability radius of linear retarded systems, Vietnam J. Math. 26 (1998), 379 - 384. (1998)
- 51. D. Hinrichsen, Nguyen Khoa Son, Stability radii of positive discrete-time systems under affine parameter perturbations, International Journal of Robust and Nonlinear Control, 8 (1998), 1169 - 1188. (1998)
- 52. A. Fischer, D. Hinrichsen, Nguyen Khoa Son, Stability radii of Metzler operators, Vietnam J. Math. 26 (1998) 147 - 162. (1998)
- 53. Nguyen Khoa Son, Approximate controllability with positive controls, Acta Math. Vietnamica, 22(1997), 589-620 (1997)
- 54. Nguyen Khoa Son, Nguyen Dinh Huy, On the existence of solutions to functional differential inclusions with boundary values, Vietnam J. Math., 25(1997), 331-340 (1997)
- 55. Nguyen Khoa Son, 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. D. Hinrichsen, Nguyen Khoa Son, On structured singular values and stability radii of systems under affine perturbations, Vietnam J. Math., 1(1996), 112-117 (1996)
- 57. Nguyen Khoa Son, D. Hinrichsen, Robust stability positive continuous time systems, Numerical Functional Analysis and Optimization, 17(1996), 649-659 (1996)
- 58. 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. (1995)
- 59. Nguyen Khoa Son, 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. Nguyen Khoa Son, Nguyen Dinh Huy, Existence and relaxation of solutions of functional differential inclusions, Vietnam J. of Mathematics, 2(1995), 279-291 (1995)
- 61. Nguyen Khoa Son, On the real stability radius of linear systems invariant with respect to a convex cone, Vietnam J. Math., 23(1995), 116-121 (1995)
- 62. Nguyen Khoa Son, On the real stability radius of positive linear discrete-time systems, Numerical Functional Analysis and Optimization, 16(1995), 1067-1085 (1995)
- 63. Nguyen Khoa Son, On the existence of positive eigenvalues of convex set-valued maps, Vietnam J. of Mathematics, 22(1994), 109-113 (1994)
- 64. Nguyen Khoa Son, Dynamical systems with state and control constraints: controllability and related topics, Vietnam J. Math., 21(1993), 1-35. (1993)
- 65. 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), 45-58 (1991)
- 66. D. Hinrichsen, Nguyen Khoa Son, Stability radii of discrete-time systems and simpletic pencils, International Journal of Robust and Nonlinear Control, 1(1991), 79-91 (1991)
- 67. Nguyen Dinh Huy, Nguyen Khoa Son, On the existence of solutions of functional differential inclusions in Banach spaces, Acta Mathematica Vietnamica, 16(1991), 49-60 (1991)
- 68. Nguyen Khoa Son, 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. Vu Ngoc Phat, Nguyen Khoa Son, Linear nonstationary control systems : null controllability with restrained controls in Banach spaces, Optimization, 21(1990), 271-280 (1990)
- 70. Nguyen Khoa Son, 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. Nguyen Khoa Son, 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. Nguyen Khoa Son, Nguyen Van Su, Linear periodic systems: Controllability with restrained controls, Applied Mathematics and Optimization, 14(1986), 173-195 (1986)
- 73. Nguyen Khoa Son, On the null-controllability of linear discrete-time systems with restrained controls, Journal of Optimization Theory and Applications, 50(1986), 313-329 (1986)
- 74. Nguyen Khoa Son, Global controllability of linear autonomous systems : a geometric consideration, Systems and Control Letters, 6(1985), 207-212 (1985)
- 75. Nguyen Khoa Son, Controllability of linear discrete-time systems with constrained controls in Banach spaces, Control and Cybern. 10 (1981), 5 - 16 (1981)
- 76. Nguyen Khoa Son, Local controllability of linear systems with restrained controls in Banach space, Acta Math. Vietnam. 5 (1980), 78 - 87 (1980)
- 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 (1980)
- 78. 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 (1980)
- 79. Nguyen Khoa Son, $\sigma$ controllability of linear autonomous systems with constraints on controls, Differ. Uravnenia 16 (1980), 394 - 404 (1980)
- 80. Nguyen Khoa Son, Controllability of nonlinear systems with damped perturbations, Vestnik Kharkov Univ. 43 (1978), 21 - 34 (1978)
- 81. Nguyen Khoa Son, Controllability of dynamical systems in the presence of constraints on controls, Ph. D. Thesis, Kharkov University, 1978, Kharkov (1978)
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Do Duy Hieu, Block-pair edge community detection in bipartite networks via an adaptive spectral-modularity framework, Computational and Mathematical Organization Theory, Volume 32, article number 31 (2026)
Nguyen Thi Van Hang, Felipe Lara, Nguyen Dong Yen, Discontinuous strongly quasiconvex functions, Journal of Optimization Theory and Applications 210 (2026), Paper No. 40, 18 pp
Doan Trung Cuong, Le Thi Thanh Nhan, On the depth of the canonical module, Journal of Algebra, Volume: Volume 712 (2027), Pages: 416-435
Institute Lectures
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Periods and exponential periods
Speaker: Claude Sabbah (CNRS, École Polytechnique, Institut Polytechnique de Paris, France)