Vu Ngoc Phat
 


 
Professor,
Department of Optimization and Control,
Institute of Mathematics
Office: Building A5 room 211
Office hours:                      or by appointment


Education

•  B.Sc ( Azerbaijan State University, former USSR, 1975)
•  Ph.D (Azerbaijan State University, former USSR, 1984)
•  Dr.Sc. (Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland, 1995)
 


 
Permanent address

Department of Optimization and Control, 
Institute of Mathematics, VAST 
18 Hoang Quoc Viet Road, CauGiay District,
10307, Hanoi, Vietnam 

email : vnphat@math.ac.vn


 
Fields of Interest

Control theory, stability analysis, optimization, differential & difference equations, hybrid systems, discrete-time systems.


 
Professional membership

•  American Mathematical Society (AMS), 1992 -
•  Society for Industrial and Applied Math. (SIAM), 1995 -
•  World Scientific and Engineering Society (WSES), 1999 -
•  Mathematical Review, USA, 1995 -
•  Steering Technical Committee of Nonlinear Control Theory, IFAC, 2002 -


 
Associate editor of int. mathematical journals

•  Nonlinear Functional Analysis and Applications, 2000 -
•  Advances in Nonlinear Variational Inequalities, 2004 -
•  Thai Journal of Mathemtica, 2006-
•  Acta Mathematica Vietnamica, 2006 -
•  Journal of Applied Mathematics, 2010 -


Selected publications

Books and theses:
1. Constrained Control Problems of Discrete Processes, World Scientific Publisher, Singapore-New Jersey-London, 1996, 225 pages.
2. Introduction to Mathematical Control Theory, Hanoi National University Publisher, Hanoi, 2001, 230 pages (in Vietnamese).
3. Qualitative Properties of Nonlinear Dynamical Systems. Ph. D thesis, Azerbaijan State University, Bacu, USSR, 1984 (in Russian).
4. Constrained Controllability of Discrete-Time Systems, Dr. Sc. Habilitation thesis, Institute of Mathematics, Polish Academy of Sciences, Warsow, Poland, 1995.
5. Mathematical Optimization Theory and Applications; VN Phat and DS Kim (Editors), Publishing House for Science and Technology, Hanoi, Vietnam, 2008, 339 pages.

Selected papers:
1. ({\it with Dieu T.C.}) Constrained controllability of linear discrete-time systems with constrained controls and states in Banach spaces. {\it SIAM J. Contr. and Optim.,} {\bf 30}(1992), 1311-1319.
2. ({\it with Dieu T.C. }) On the Krein-Rutman theorem and its applications in controllability. {\it Proceedings of AMS,} {\bf 124}(1994), 495-501
3. Constrained controllability of linear control infinite-dimensional systems: A set-valued analysis approach. {\it IMA J. Math. Contr. and Inform.,} {\bf 11}(1994), 185-199
4. Some aspects of constrained controllability of discrete-time dynamical systems. {\it Optimization,} {\bf 33}(1995), 57-79.
5.Weak asymptotic stabilizability of discrete-time inclusions given by set-valued operators. {\it J. of Math. Anal. Appl.,} {\bf 202}(1996), 353-369.
6. ({\it with Park J.Y.}) Further generalizations of Farkas' theorem and applications in optimal control. {\it J. of Math. Anal. Appl.,} {\bf216}(1997), 23-39.
7. New stabilization criteria for linear time-varyingsystems with state delay and norm-bounded uncertainties. {\it IEEE Trans. Auo. Contr.} {\bf 47}(2002), 2095-2098.
8. ({\it with N.S. Bay and N.T. Hoan}) On the asymptotic stability of time-varying differential equations with multiple delays and applications. {\it Acta Math. Vietnamica,} {\bf 28}(2003), 51-64.
9. ({\it with N.S. Bay}) Stability analysis of nonlinear retarded difference equations in Banach spaces. {\it Comp. Math. Appl.,} {\bf 45}(2003), 951-960.
10. ({\it with J. Jiang, A.V. Savkin and I. Petersen}) Robust stabilization of linear uncertain discrete-time systems via a limited communication channel. {\it Systems and Control Letters.} {\bf 53}(2004), 347-360
11. ({\it with J. Jiang}) Feedback stabilization of nonlinear discrete-time systems via a digital communication channel. {\it Int. J. Math. Math. Sc.,} {\bf 1}(2005), 43-56.
12. Robust stability and stabilizability of uncertain linear hybrid systems with state delays. {\it IEEE Trans. on CAS II,} {\bf 52}(2005), 94-98
13. ({\it with A.V. Savkin}) Robust set-valued state estimation for linear uncertain systems in Hilbert spaces. {\it Nonl. Func. Anal. Appl.,} {\bf 10}(2005), 285-298.
14.({\it with S. Pairote}) Global stabilization of linear periodically time-varying switched systems via matrix inequalities. {\it J. Contr. Theory Appl.} {\bf 1}(2006), 24-29.
15.({\it with P. Niamsup}) Stability of linear time-varying delay systems and applications to control problems, {\it J. Compt. Appl. Math.} {\bf 194}(2006), 343-356.
16.Global stabilization for linear continuous time-varying systems {\it Appl. Math. Comput.} {\bf 175}(2006), 1730-1743.
17.Sufficient Conditions for stabilizability of linear periodic systems. {\it South-East Asian Bull. of Math.,} {\bf 30} (2006), 331-340
18. ({\it with P. Niamsup}) Stabilization of linear non-autonomous systems with norm bounded controls. {\it J. Optim. Theory Appl.,} {\bf 131}(2006)
19. (Q.P. Ha, H. Trinh) Design of Reduced-Order Observers for Global State Feedback Control of Multi-Agent Systems, {\it Int. J. of Aut. Control}, N2/3, {\bf 1}(2007), 165-181.
20. (with P.T. Nam) Exponential stability and stabilization of uncertain linear time-varying systems using parameter dependent Lyapunov function. {\it Int. J. of Control,} {\bf 80}(2007), 1333-1341.
21. ( with P.T. Nam) Robust exponential stability and stabilization of linear uncertain polytopic time-delay systems. {\it J. Control Theory Appl.,} {\bf 6}(2008), 163-170
22 (with 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, {\it Adv. in Nonl. Var. Ineq.,} {\bf 11}(2008), 75-86.
23. (with P. Niamsup and K. Mukdasai) Improved exponential stability for time-varying systems with nonlinear delayed perturbations, {\it Appl. Math. Comput.}, {\bf 204}(2008), 490-495.
24. (with Q.P. Ha)} New characterization of stabilizability via Riccati equations for LTV systems. {\it IMA J. Math. Contr. Inform.,} {\bf 25}(2008), 419-429.
25. (with PT Nam) An improved stability criterion for a class of neutral differential equations. {\it Appl. Math. Letters,} {\bf 22}(2009), 31-35..
26.(with T. Bormat and P. Niamsup) Switching design for exponential stability of a class of nonlinear hybrid time-delay systems, {\it Nonlinear Analysis: Hybrid Systems,} {\bf 3}(2009), 1-10
27. (with PT Nam}) Robust stabilization of linear systems with delayed state and control, {\it J. Optim. Theory Appl.,} {\bf 140}( 2009), 287-299.
28.(with L.V. Hien and Q.P. Ha}), Stability and stabilization of switched linear dynamic systems with time delay and uncertainties {\it Appl. Math. Comput., } {\bf 210}(2009), 223-231.
29. (with LV Hien) An application of Razumikhin theorem to exponential stability for linear non-autonomous systems with arbitrary time-varying delays, {\it Appl. Math. Letters,} {\bf 22}(2009), 1412-1417.
30. (with LV Hien}) Exponential stability and stabilization of a class of uncertain linear time-delay systems , {\it J. of the Franklin Institute,} {\bf 346}(2009), 611-625.
31. (with LV Hien) Delay feedback control in exponential stabilization of linear time-varying systems with input delay, {\it IMA J. Math. Contr. Inform.,} {\bf 26}(2009), 163-177.
32. (with LV Hien) Exponential stabilization for a class of hybrid systems with mixed delays in state and control, {\it Nonlinear Analysis: Hybrid Systems,} {\bf 3}(2009), 259-265.
33. Memoryless $H_\infty $ controller design for switched nonlinear systems with mixed time-varying delays, {\it Int. J. of Control,} {\bf 82}(2009), 1889-1898.
34. (with Q.P. Ha)} $H_\infty $ control and exponential stability for a class of nonlinear non-autonomous systems with time-varying delay, {\it J. Optim. Theory Appl.,} {\bf142}(2009), 603-618.
35. (with P. Niamsup) $H_\infty$ optimal control of LTV systems with time-varying delay via controllability approach, {\it ScienceAsia,} {\bf 35}(2009), 284-289.
36.(with P. Niamsup}) Stability analysis for a class of functional differential equations and applications. {\it Nonlinear Aanalysis: Theory, Methods \& Applications}, {\bf 71}(2009), 6265-6275.
37. Switched controller design for stabilization of nonlinear hybrid systems with time-varying delays in state and control, {\it J. of the Franklin Institute,} {\bf 347}(2010), 195-207.
37. Switched controller design for stabilization of nonlinear hybrid systems with time-varying delays in state and control, {\it J. of the Franklin Institute,} {\bf 347}(2010), 195-207.
38. (with Niamsup )} $H_\infty$ control for nonlinear time-varying delay systems with convex polytopic uncertainties {\it Nonlinear Analysis: TMA} {\bf 72}(2010), 4254-4263.
39. (with PT Nam and HM Hien}) Asymptotic stability of linear state-delayed neutral systems with polytope type uncertainties, { \it Dynamic Systems and Applications}, {\bf 19}(2010), 63-72.
40.(with PT Nam)} Exponential stability of delayed Hopfield neural networks with various activation functions and polytopic uncertainties, {\it Physics Letters A} {\bf 374}(2010), 2527-2533.
41. (with V. Jeyakumar}) Stability, stabilization and duality for linear time-varying systems. {\it Optimization,} {\bf 59}(2010), 447-460.


Current Teaching

• Analysis (Calculus, Ordinary Differential equations, Functional Analysis)
• Stability Theory of Dynamical Systems
• Optimal control
• Mathematical Control Theory and Applications



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