Vu Ngoc Phat


Full Professor, Doctor of Science

Department of Optimization and Control Theory
Research interests:

Stability and Control of Dynamical Systems with time-varying delays


Address
Office: Building A6, Room 504
Tel: +84 (024) 38361121 / 504
Email: vnphat AT math.ac.vn

Education and academic degrees

  • B.Sc: 1975, Azerbaijan State University, former USSR
  • Ph.D: 1984, Azerbaijan State University, former USSR
  • Dr.Sc: 1995, Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland
  • Associate professor: 1992
  • Full professor: 2001


Hiệp hội tham gia:

  • American Mathematical Society (AMS)
  • Society for Industrial and Applied Mathematíc (SIAM)
  • World Scientific and Engineering Society (WSES)
  • Mathematical Review (MR)
  • Steering Technical Committee of Nonlinear Control Theory (IFAC).


Thành viên ban biên tập tạp chí toán học:

  • Optimization, 1998-2002
  • Journal of Applied Mathematics, 2010 – 2015
  • Mathematical Problems in Engineering, 2011-2014
  • Nonlinear Functional Analysis and Applications,  1999 - 2015
  • Advances in Nonlinear Variational  Inequalities, 2003 -
  • Acta Mathematica Vietnamica, 2008 -
  • Vietnam Journal of Mathematics, 2011-
  • Thai Journal of Mathematics, 2006 -

Research areas: Control theory, stability analysis, optimization, ems, time-delay systems.

PUBLICATIONS


List of publications in MathSciNet

 

List of recent publications
1Vu Ngoc Phat, N.T. Thanh, New criteria for finite-time stability of nonlinear fractional-order delay systems: A Gronwall inequality approach. Appllied Mathematics Letters, 83 (2018), pp. 169-175.
2Nguyen Huu Sau, Vu Ngoc Phat, LP approach to exponential stabilization of singular positive time-delay systems via memory state feedback, Journal of Industrial and Management Optimization, 14 (2018), 583-596.
3Phan Thanh Nam, Hieu Trinh, Pubudu Nishantha Pathirana, Vu Ngoc Phat, Stability analysis of nonlinear time-delay systems using a novel switched positive systems method, IEEE Transactions on Automatic Control, 63 (2018), 291-297.
4Nguyen Huyen Muoi, Vu Ngoc Phat, P. Niamsup, Criteria for robust finite-time stabilization of linear singular systems with interval time-varying delay, IET Control Theory and Applications, 11 (2017), 1968 - 1975.
5N.T. Thanh, P. Niamsup, Vu Ngoc Phat, Finite-time stability of singular nonlinear switched time-delay systems: A singular value decomposition approach, Journal of the Franklin Institute, 354 (2017), 3502-3518.
6N.T. Thanh, H. Trinh, Vu Ngoc Phat, Stability analysis of fractional differential  time-delay equations, IET Control Theory and Applications, 11 (2017), 1006-1015.
7P. Niamsup, N.T. Thanh, Vu Ngoc Phat, Robust finite-time stabilization of nonlinear systems with multiple delays in states and controls, Communications on Applied Nonlinear Analysis, 23 (2016), 1-13 .
8Nguyen Huyen Muoi, G. Rajchakit, Vu Ngoc Phat, LMI approach to finite-time stability and stabilization of singular discrete delay systems, Acta Applicandae Mathematicae, 146(2016), 81-93.
9P.Niamsup, Vu Ngoc Phat, Robust finite-time control for linear time-varying delay systems with bounded control, Asian Jounal of Control, 18 (2016), 2317-2324.
10Vu Ngoc Phat, N.T. Thanh, H. Trinh, New results on $H_\infty$ filtering for nonlinear large-scale systems with interconnected time-varying delays, Optimal Control Applications and Methods, 37 (2016), 958-964.
11Nguyen H.Sau, P.Niamsup, Vu Ngoc Phat, Positivity and stability analysis for linear implicit difference delay equations, Linear Algebra and its Applications, 510 (2016), 25–41.
12Le A. Tuan, Vu Ngoc Phat, Robust finite-time stability and $H_\infty$ control of linear discrete-time delay systems with norm-bounded disturbances, Acta Mathematica Vietnamica, 41 (2016),481-493.
13Adly Samir, Tạ Thị Huyền Trang, Vu Ngoc Phat, Guaranteed quadratic cost control of nonlinear time-varying delay systems via output feedback stabilization, Pacific Journal of Optimization, 12 (2016), 2016, 649-667.
14P. T. Nam, Vu Ngoc Phat, P. N. Pathirana, H. Trinh, Stability analysis of a general family of nonlinear positive discrete time-delay systems, International Journal of Control, 89 (2016), 1303-1315.
15P. Niamsup, Vu Ngoc Phat, A new result on finite-time control of singular linear time-delay systems, Applied Mathematics Letters, 60 (2016), 1-7.
16Tạ Thị Huyền Trang, Vu Ngoc Phat, Adly Samir, Finite-time stabilization and H∞ control of nonlinear delay systems via output feedback. Journal of Industrial and Management Optimization 12 (2016), 303–315.
17Vu Ngoc Phat, Nguyen T. Thanh, H. Trinh, Full-order observer design for nonlinear complex large-scale systems with unknown time-varying delayed interactions. Complexity, 21 (2015), 123-133.
18Le Van Hien, Vu Ngoc Phat, H. Trinh, New generalized Halanay inequalities with applications to stability of nonlinear non-autonomous time-delay systems. Nonlinear Dynamics, 82 (2015), 563-575.
19Vu Ngoc Phat, Nguyen Huyen Muoi, M.V. Bulatov, Robust finite-time stability of linear differential-algebraic delay equations, Linear Algebra and its Applications, 487 (2015), 146-157.
20Piyapong Niamsup, K. Ratchagit, Vu Ngoc Phat, Novel criteria for finite-time stabilization and guaranteed cost control of delayed neural networks, Neurocomputing, 160 (2015), 281-286.
21Piyapong Niamsup, Vu Ngoc Phat, State Feedback Guaranteed Cost Controller for Nonlinear Time-Varying Delay Systems, Vietnam Journal of Mathematics, 43 (2015), 215-228.
22Le Van Hien, Le Huy Vu, Vu Ngoc Phat, Improved delay-dependent exponential stability of singular systems with mixed interval time-varying delays, IET Control Theory & Applications, 9 (2015), 1364 - 1372.
23Vu Ngoc Phat, P. Niamsup, Global stabilization of linear time-varying delay systems with bounded controls. Applied Mathematics Letters, 46 (2015), 11-16.
24M.V. Thuan, Vu Ngoc Phat, T.L. Fernando, H. Trinh, Exponential stabilization of time-varying delay systems with nonlinear perturbations, IMA Journal of Mathematical Control and Information, 31 ( 2014), 441-464.
25M.V. Bulatov, M.N. Machkhina, Vu Ngoc Phat, Existence and uniqueness of solutions to integral-algebraic equations  with variable limits of integrations, Communications on Applied Nonlinear Anaysis,  21(2014), 65-76.
26Mai Viet Thuan, Le Van Hien, Vu Ngoc Phat, Exponential stabilization of non-autonomous delayed neural networks via Riccati equations, Applied Mathematics and Computation, 246(2014), 533-545.
27Vu Ngoc Phat, Nguyen Huu Sau, On exponential stability of linear singular positive delayed systems, Applied Mathematics Letters, 38 (2014), 67–72.
28Vu Ngoc Phat, T. Fernando, H. Trinh, Observer-based control for time-varying delay neural networks with nonlinear observation, Neural Computing and Applications, Vol. 24, 2014, 1639-1645.
29Nguyen Truong Thanh, Vu Ngoc Phat, Decentralized stability for   switched  nonlinear large-scale  systems with interval  time-varying delays in interconnections,  Nonlinear Analysis: Hybrid Systems,  11 (2014),  21-36.
30Le A. Tuan, Phan T. Nam, Vu Ngoc Phat, $H_\infty$ controller design for neural networks with mixed interval time-varying delays, Neural Processing Letters, 37(2013), 235-249.
31Vu Ngoc Phat, H. Trinh, Design of $H_\infty $ control of neural networks with time-varying delys, Neural Comput. and Applic., 22 (2013), 323 - 331.
32Vu Ngoc Phat, $H_\infty$ control for nonlinear systems with interval non-differentiable time-varying delay, European Journal of Control, 19 (2013), 190 - 198.
33Vu Ngoc Phat, T. L. Fernando and H. M. Trinh, Output feedback guaranteed cost control of uncertain linear discrete systems with interval time-varying delays, Applied Mathematical Modelling, 37 (2013), 1580 - 158.
34Vu Ngoc Phat, M. V. Thuan, New criteria for  stability and stabilization of neural networks with mixed  time-varying delays,  Vietnam Journal of Mathematics, 40 (2012), 79-93.
35Vu Ngoc Phat, M. V. Thuan and H. M. Trinh, Dynamic output feedback guaranteed cost control of linear  systems with    time-varying delays in states and outputs,  Applied Mathematics and Computation, 218 (2012), 10697–10707.
36Vu Ngoc Phat, T. L. Fernando and H. M. Trinh, Decentralized stabilization of large-scale systems with  time-varying delays in  interconnections,  International Journal of Adaptive Control and Signal Processing,  26 (2012), 541 -- 554.
37Vu Ngoc Phat, L. V. Hien, New exponential estimate for robust stability of nonlinear neutral time delay  systems with convex polytopic uncertainties,  Journal Nonlinear and Convex Analysis, 12 (2012), 541 -- 553.
38Vu Ngoc Phat, Nguyen T. Thanh, Decentralized $H_infty$ control for  large-scale  interconnected nonlinear time-delay  systems  via  LMI approach,  Journal of Process Control, 22 (2012), 1325 -- 1339.
39Vu Ngoc Phat, K. Ratchagit and Y. Khongtham, LMI approach to exponential stability of linear  systems with  interval  time-varying delays,  Linear Algebra and its Applications, 336 (2012), Pp. 243–251.
40Vu Ngoc Phat, M. V. Thuan, Optimal guaranteed cost control of linear systems with mixed time-varying delayed state and control,  Journal of Optimization Theory and Applications, 125 (2012), 394 -- 412.
41Vu Ngoc Phat, Mai Viet Thuan and Hieu Trinh, Observer-based controller design of time-delay systems with an interval time-varying delay, Int. J. Appl. Math. Comput. Sci., 22 (2012), 921 -- 927.
42Vu Ngoc Phat, K. Ratchagit, Stability and stabilization of switched linear discrete-time systems with interval time-varying delay,  Nonlinear Analysis: Hybrid Systems  5 (2011), 605 - 612.
43Vu Ngoc Phat, T. Botmart and P. Niamsup, Delay-dependent exponential stabilization for uncertain linear systems with interval non-differentiable time-varying delays,  Applied Mathematics and Computation  217 (2011), 8236 - 8247.
44Vu Ngoc Phat, N. S. Bay and N. M. Lin, Robust $H_\infty $ control of linear time-varying systems with mixed delays in the Hilbert space,  Optim. Control Appl. Meth.  32 (2011), 545 -557.
45Vu Ngoc Phat, T. T. Anh and L. V. Hien, Stability analysis for linear non-autonomous  systems with mixed multiple time-varying delays and applicationsActa Math. Vietnamica  36 (2011), 129 -- 143.
46Vu Ngoc Phat, P. Niamsup, A novel  exponential stability condition of  hybrid neural networks with time-varying delay,  Vietnam Journal of Math.  38 (2010), 341 - 351.
47Vu Ngoc Phat, L. V. Hien, Robust stabilization of linear polytopic control systems with mixed delays,   Acta Math. Vietnamica  35 (2010), 427 - 438.
48Vu Ngoc Phat, V. Jeyakumar, Stability, stabilization and duality for linear time-varying systems, Optimization, 59 (2010), 447 -- 460.
49Vu Ngoc Phat, P. T. Nam and H. M. Hien, Asymptotic stability of linear state-delayed neutral systems with polytope type uncertainties, Dynamic Systems and Applications 19 (2010), 63 -- 74.
50Vu Ngoc Phat, Switched controller design for stabilization of nonlinear hybrid systems with time-varying delays in state and control, J. of the Franklin Institute,  347 (2010), 195 -- 207.
51Vu Ngoc Phat, Q. P. Ha and H. Trinh, Parameter-dependent $H_\infty$ control for linear time delay polytopic systems, J. Optim. Theory Appl, 147 (2010), 58 -- 70.
52Vu Ngoc Phat, $H_\infty$ control for nonlinear time-varying delay systems with polytopic type uncertainties,Nonlinear Analysis: Theory, Methods and Applications, 72 (2010), 4254 -- 4263.
53Vu Ngoc Phat, P. T. Nam, Exponential stability delayed Hopfield neural networks with various activation functions and polytopic uncertainties,Physics Letters A, 374 (2010), 2527 -- 2533.
54Vu Ngoc Phat, H. Trinh, Exponential stabilization of neural networks with various activation functions and mixed time-varying delays,  IEEE Trans. Neural Networks, 21 (2010), 1180 -- 1185.
55Vu Ngoc Phat, T. Bormat and P. Niamsup, Switching design for exponential stability of a class of nonlinear hybrid time-delay systems, Nonlinear Analysis: Hybrid Systems,  3 (2009), 1- 10.
56L.V. Hien, Vu Ngoc Phat, Exponential stabilization for a class of hybrid systems with mixed delays in state and control, Nonlinear Analysis: Hybrid Systems, 3 (2009),  259- 265.
57P. Niamsup, Vu Ngoc Phat, $H_\infty $ optimal control  of LTV systems with time-varying delay via controllability approach,  ScienceAsia, 35 (2009), 284-289.
58L.V. Hien, Vu Ngoc Phat, Delay feedback control in exponential stabilization of linear time-varying systems with input delay, IMA J. Math. Contr. Inform., 26 (2009), 163-177.
59L.V.Hien, Vu Ngoc Phat, Exponential stability and stabilization of a class of uncertain linear time-delay systems,  J. of the Franklin Institute, 346 (2009), 611-625.
60L.V. Hien, Q.P. Ha, Vu Ngoc Phat, Stability and stabilization of switched linear dynamic systems with time delay and uncertainties, Appl. Math. Computation, 210 (2009), 223-231.
61P.T. Nam, Vu Ngoc Phat, Robust stabilization of linear systems with delayed state and control, J. Optim. Theory Appl., 140 (2009), 287-299.
62P.T. Nam, Vu Ngoc Phat, An improved stability criterion for a class of  neutral differential equations,  Appl. Math. Letters, 22 (2009), 31-35.
63Vu Ngoc Phat, Q.P. Ha, $H_\infty$ control and exponential stability for a class of nonlinear non-autonomous systems with time-varying delay, J. Optim. Theory Appl., 142, (2009), 603-618.
64Vu Ngoc Phat, L.V. Hien, An application of Razumikhin theorem to exponential stability for linear non-autonomous systems with arbitrary time-varying delays, Appl. Math. Letters, 22 (2009), 1412-1417.
65Vu Ngoc Phat, Memoryless $H_\infty$ controller design for switched nonlinear systems with mixed time-varying delays,  Int. J. of Control, 82 (2009),  1889-1898.
66Vu Ngoc Phat, P. Niamsup, Stability analysis for a class of functional differential equations and applications,Nonlinear Anal.: Theory, Methods \& Applications, 71 (2009), 6265 -- 6275.
67P. Niamsup, K. Mukdasai, Vu Ngoc Phat, Linear uncertain non-autonomous time-delay systems: stability and stabilizability via Riccati equations, Electron, J. Differential Equations 2008, 10 pp.
68Phan Than Nam, Vu Ngoc Phat, Robust exponential stability and stabilization of linear uncertain polytopic time-delay systems, J. Control Theory Appl. 6 (2008), 163 - 170.
69Vu Ngoc Phat, D. Q. Vinh and N. S. Bay, $L_2$-stabilization and $H_\infty$ control for linear non-autonomous time-delay systems in Hilbert spaces via Riccati equations, Adv. Nonlinear Var. Inequal. 11 (2008), 75 - 86.
70P. Niamsup, K. Mukdasai, Vu Ngoc Phat, Improved exponential stability for time-varying systems with nonlinear delayed perturbations,  Appl. Math. Computation, 204 (2008), 490-495.
71Vu Ngoc Phat, Q.P. Ha, New characterization of stabilizability via Riccati equations for LTV systems, IMA J. Math.Contr. Inform.,  25 (2008), 419-429.
72Vu Ngoc Phat, Phan Thanh Nam, Exponential stability and stabilization of uncertain linear time-varying systems using parameter dependent Lyapunov function, Internat. J. Control 80 (2007), N0 8, 1333 - 1341.
73Vu Ngoc Phat, Dao Quang Vinh, Controllability and $H_\infty$ control for linear continuous time-varying uncertain systems. Differential equations and applications,  4 (2007), 105 - 111.
74Vu Ngoc Phat, S. Pairote, Exponential stability of switched linear systems with time-varying delay, Electron. J. Differential Equations 2007, 10 pp.
75Vu Ngoc Phat, Global stabilization for linear continuous time-varying systems, Appl. Math. Comput. 175 (2006), 1730 - 1743.
76Vu Ngoc Phat, Satiracoo Pairote, Global stabilization of linear periodically time-varying switched systems via matrix inequalities, J. Control Theory Appl. 4 (2006), 26 - 31.
77Vu Ngoc Phat, Piyapong Niamsup, Stability of linear time-varying delay systems and applications to control problems, J. Comput. Appl. Math. 194 (2006), 343 - 356.
78Vu Ngoc Phat, Sufficient conditions for stabilizability of linear periodic differential equations, Southeast Asian Bull. Math. 30 (2006), 331 - 340.
79Vu Ngoc Phat, P. Niamsup, Stabilization of linear nonautonomous systems with norm-bounded controls, J. Optim. Theory Appl. 131 (2006), 135 - 149.
80Vu Ngoc Phat, Phan Thanh Nam, Exponential stability criteria of linear non-autonomous systems with multiple delaysElectron. J. Differential Equations 2005, N0 58, 8 pp.
81Vu Ngoc Phat, A. V. Savkin, Robust set-valued state estimation for linear time-varying systems in Hilbert spaces, Nonlinear Funct. Anal. Appl. 10 (2005), 285 - 298.
82Vu Ngoc Phat, A. V. Savkin, Robust set-valued state estimation for linear time-varying systems in Hilbert spaces, Nonlinear Funct. Anal. Appl. 10 (2005), 285 - 298.
83Vu Ngoc Phat, J. Jiang, Stabilization of nonlinear discrete-time systems via a digital communication channel. Int. J. Math. Math. Sc. 1 (2005), 43 - 56.
84Vu Ngoc Phat, Robust stability and stabilizability of uncertain linear hybrid systems with state delays, IEEE Trans. on CAS II 52 (2004), 894 - 898.
85Vu Ngoc Phat, D. Q. Vinh, Controllability and H-infinity control of linear continuous time-varying uncertain systems. Diff. Equations and Appl. 4 (2004), 313 - 327.
86Vu Ngoc Phat, Jianming Jiang, Andrey V. Savkin, Ian R. Petersen, Robust stabilization of linear uncertain discrete-time systems via a limited capacity communication channel, Systems Control Letters. 53 (2004), 347 - 360.
87Vu Ngoc Phat, Nonlinear $H_\inf}$ control in Hilbert spaces via Riccati operator equation, Nonlinear Funct. Anal. Appl. 9 (2004), 79 - 92.
88Vu Ngoc Phat, N. M. Linh, On the stabilization of nonlinear continuous-time systems in Hilbert spaces, Southeast Asian Bull. Math. 27 (2003), 135 - 142.
89Nguyen Sinh Bay, Vu Ngoc Phat, Stability analysis of nonlinear retarded difference equations in Banach spaces. Advances in difference equations, IV, Comput. Math. Appl. 45 (2003), 951 - 960.
90Nguyen Sinh Bay, Nguyen The Hoan, Vu Ngoc Phat, On the asymptotic stability of time-varying differential equations with multiple delays and applications, Acta Math. Vietnam. 28 (2003), 51 - 64.
91Vu Ngoc Phat, On the stability of a class of nonlinear time-delay differential control systems in Banach spaces, Diff. Equations and Appl. 3 (2003), 203 - 218.
92Vu Ngoc Phat, Complete stabilization of distributed parameter systems: A controllability analysis approach. In: Proc. 15th Int. IFAC’2002 Congress, July, 2002, Barcelona, 1325 - 1330.
93Vu Ngoc Phat, Andrey V. Savkin, Robust state estimation for a class of uncertain time-delay systems. Systems Control Letters, 47 (2002), 237 - 245.
94Vu Ngoc Phat, New stabilization criteria for linear time-varying systems with state delay and norm-bounded uncertainties. IEEE Trans. Automat. Control 47 (2002), 2095 - 2098.
95Vu Ngoc Phat, Nguyen Sinh Bay, Asymptotic stability of a class of nonlinear functional differential equations, Nonlinear Funct. Anal. Appl. 7 (2002), 299 - 311.
96Vu Ngoc Phat, Nguyen Sinh Bay, Lyapunov stability and stabilizability of linear differential time-varying delay systems in Hilbert spaces, Far East J. Math. Sci. (FJMS) 5 (2002), N0 1, 65 - 80.
97Vu Ngoc Phat, Tran Tin Kiet, On the Lyapunov equation in Banach spaces and applications to control problems, Int. J. Math. Math. Sci. 29 (2002), 155 - 166.
98J. Y. Park, Vu Ngoc Phat, I. H. Jung, Constrained controllability of linear time-varying systems in Banach spaces, Optimization 50 (2001), 187 - 204.
99Vu Ngoc Phat, Stabilization of linear continuous time-varying systems with state delays in Hilbert spaces, Elect. J. Diff. Equations (2001), 1 - 12.
100Nguyen Manh Linh, Vu Ngoc Phat, Exponential stability of nonlinear time-varying differential equations and applications, Elect. J. Diff. Equations (2001), N0 34, 1 - 12.
101Vu Ngoc Phat, T. T. Kiet, Global controllability to a target set of a discrete-time system in Banach spaces. Nonlinear Funct. Anal. Appl. 5 (2000), 23 - 37.
102Jong Yeoul Park, Vu Ngoc Phat, Il Hyo Jung, On stability of nonlinear nonautonomous systems by Lyapunov's direct method. J. Korean Math. Soc. 37 (2000), 805 - 821.
103Vu Ngoc Phat, Constrained controllability theory: from linear to nonlinear dynamical discrete-time systems. East-West J. Math. 2 (2000), 1 - 19.
104Vu Ngoc Phat, J. Y. Park, On the Gronwall inequality and asymptotic stability of nonlinear discrete systems with multiple delays. Dynam. Systems Appl. 9 (2000), 309 - 321.
105Vu Ngoc Phat, Tran Tin Kiet, Lyapunov stability of nonlinear time-varying differential equationsActa Math. Vietnam. 25 (2000), N0 2, 231 - 249.
106Vu Ngoc Phat, Jong Yeoul Park, and Il Hyo Jung, Constrained controllability of linear time-varying Stability and constrained controllability of linear control systems in Banach spaces. J. Korean Math. Society 37 (2000), 593 - 612.
107P. Niamsup, Vu Ngoc Phat, Asymptotic stability of nonlinear control systems described by differential equations with multiple delays. Elect. J. Diff. Equations 11 (2000), 1 - 17.
108Vu Ngoc Phat, Introduction to mathematical control theory (in Vietnamese) – Nhập môn lý thuyết điều khiển tối ưu. NXB ĐHQG, Hanoi, 2000, 245 trang.
109Vu Ngoc Phat, Tran Tin Kiet, On the stabilizability of nonlinear systems in finite-dimensional spaces. Funct. Anal. Appl. 4 (1999), 73 - 85.
110Vu Ngoc Phat, Krein-Rutman theorem on existence of eigenvectors in Banach spaces : Recent extensions and applications. Nonl. Funct. Anal. Appl. 4 (1999), 25 - 40.
111Nguyen Sinh Bay, Vu Ngoc Phat, Stability of nonlinear discrete time-varying retarded systems. Vietnam J. Math. 27 (1999), 373 - 377.
112Vu Ngoc Phat, On the stability and stabilizability of nonlinear dynamical systems. Nonlinear Anal. Forum. 4 (1999), 65 - 75.
113Vu Ngoc Phat, On the stability of time-varying differential equations. Optimization 45 (1999), 237 - 254.
114Vu Ngoc Phat, J. Y. Park, Asymptotic stability of nonlinear purturbed discrete systems with multiple delays. In: Proc. Inter. Conf. Math. Anal. Appl. Chinju, Korea, 5 (1998), 123 - 137.
115Vu Ngoc Phat, Jong Yeoul Park, Further generalizations of Farkas' theorem and applications in optimal control. J. Math. Anal. Appl. 216 (1997), 23 - 39.
116Vu Ngoc Phat, Weak asymptotic stabilizability of discrete-time inclusions given by set-valued operators. J. Math. Anal. Appl. 202 (1996), 353 - 369.
117Vu Ngoc Phat, Constrained control problems of discrete processes. World Scientific, Singapore-New Jersey-London, 1996, 228p.
118Vu Ngoc Phat, Constrained controllability theory of dynamical systems. Dr. Sc. Thesis, Institute of Mathematics, Polish Academy of Sciences, Warszawa, Poland, 1995.
119Vu Ngoc Phat, Some aspects of constrained controllability of discrete-time dynamical systems. Optimization 33 (1995), 57 - 79.
120Vu Ngoc Phat, Constrained controllability of linear control infinite-dimensional systems: A set-valued analysis approach. IMA J. Math. Contr. Inform. 11 (1994), 185 - 199.
121Vu Ngoc Phat, Constrained controllability and reachability of linear discrete-time descriptor systems. Optimization 31 (1994), 165 - 177.
122Vu Ngoc Phat, Some remarks on controllability and reachability of nonstationary discrete-time processes. Optimization 29 (1994), 173 - 180.
123Vu Ngoc Phat, Trinh Cong Dieu, On the Krein-Rutman theorem and its applications in controllability. Proceedings of AMS 124 (1994), 495 - 501.
124Vu Ngoc Phat, K. Balachandra, On the controllability of linear descriptor systems in Banach spaces. Acta Math. Vietnam. 1 (1992), 67 - 76.
125Vu Ngoc Phat, K. Murugesan, A note on constrained controllability of linear descriptor systems. Optimization 25 (1992), 77 - 82.
126Vu Ngoc Phat, Trinh Cong Dieu, Linear control discrete-time systems with disturbances: Constrained controllability to a subset. Optimization 24 (1992), 319 - 327.
127Vu Ngoc Phat, Trinh Cong Dieu, Constrained controllability of linear discrete-time systems with constrained controls and states in Banach spaces. SIAM J. Contr. and Optim. 30 (1992), 1311 - 1319.
128Vu Ngoc Phat, Controllability problems of dynamical syatems: a set-valued approach. In: Proc. of the 36th Int. Colloquium on Applied Mathematics, Ilmelnau, Germany, October 1991, 121-132.
129Vu Ngoc Phat, Control problems of nonlinear dynamical systems with phase constraints. Inter. Series of Numerical Analysis 99 (1991), 433 - 440.
130Vu Ngoc Phat, Nguyen Khoa Son, Linear nonstationary discrete-time systems: Null controllability with restrained controls in Banach spaces. Optimization. 2 (1990), 271 - 279.
131Vu Ngoc Phat, An application of implicit function theorem in the solution of controllability problems. Kibernetika, USSR, 4 (1990), 55 - 59. English translation: Cybernetics, 27 (1990).
132Vu Ngoc Phat, New results on controllability of linear nonstationary systems with constrained controls and states. In: Proc. of 14th Inter. Conference on Math. Optimization and Applications, Eisenach, FRG, December 11-16, 1989, 92 - 103.
133Vu Ngoc Phat, Controllability of linear discrete-time systems with multiple delays on controls and states. Int. J. Contr. 5 (1989), 1645 - 1654.
134Vu Ngoc Phat, Controllability of linear time-dependent systems with a phase constraint. Avtomatika i Telemekhanika, USSR 8 (1988), 51 - 59. English translation: Automat Remote Control 49 (1988), 998 - 1004.
135Vu Ngoc Phat, Controllability of nonlinear discrete-time systems without differentiability assumption. Optimization 19 (1988), 133 - 142.
136Vu Ngoc Phat, Approximate controllability of nonlinear discrete-time systems in Banach spaces. Acta Math. Vietnam. 13 (1988), 81 - 88.
137Vu Ngoc Phat, R.G. Faradzev and V. A. Shapiro, Controllability theory of dynamical discrete-time systems. Avtomatika i Telemekhanika, USSR 1(1986), English translation: Automat Remote Control 47 (1986), 1 - 23.
138Vu Ngoc Phat, Controllability in multivalued discrete-time processes. Kibernetika, USSR 5(1986), 62-67. English translation: Cybernetics 22 (1986), 610 - 615.
139Vu Ngoc Phat, On the controllability of nonlinear two parameter discrete-time systems with constrained controls. Optimization 16 (1985), 869 - 876.
140Vu Ngoc Phat, Qualitative properties of nonlinear dynamical systems. Ph. D. Thesis, Azerbaizan University, Bacu, USSR 1984 (in Russian).
141Vu Ngoc Phat, Pseudoconvex sets and controllability of discrete-time systems in Banach spaces. Vestnik Kharcov University, USSR 254 (1984), 57 - 61. (in Russian).
142Vu Ngoc Phat, Controllability of nonlinear two-parametric discrete-time systems. Probl. Optim. ASU, Bacu, USSR (1983), 171 - 179 (in Russian).
143Vu Ngoc Phat, Controllability of discrete-time systems with nonconvex restrained controls. Optimization 14 (1983), 371 - 375.
144Vu Ngoc Phat, Controllability problem of general nonlinear processes. Vietnam J. Math. 2 (1981), 27 - 31 (in Vietnamese).
145Vu Ngoc Phat, Controllability of nonlinear dynamical discrete-time systems. Acta Math. Vietnam. 2 (1980), 63 - 74.
146Vu Ngoc Phat, Controllability of pseudolinear dynamical systems. Vietnam J. Math. 2 (1980), 18 - 23 (in Vietnamese).