Journal Publications (with link to pdf files of recent papers)(Back to the Top)

1. T. Hu, ``Nonlinear control design for linear differential inclusions via
   convex hull of quadratics," Automatica, to appear. 

2. T. Hu, A. R. Teel and L. Zaccarian, ``Stability and performance for saturated systems 
   via quadratic and non-quadratic Lyapunov functions," IEEE Transactions on Automatic Control, 
   51(11), pp.~1770-1786, 2006.

3. R. Goebel, A.R. Teel, T. Hu and Z. Lin, ``Conjugate convex Lyapunov functions for dual linear 

   differential equations," IEEE Transactions on Automatic Control, 51(4), pp.661-666, 2006.

4. T. Hu, A. R. Teel and Z. Lin, ``Lyapunov characterization of forced oscillations," Automatica, 41, October, 
   pp.1723-1735, 2005.

5. T. Hu, R. Goebel, A. R. Teel and Z. Lin, ``Conjugate Lyapunov functions for saturated linear systems," 

   Automatica, 41(11), pp.1949-1956, 2005.

6. T. Hu and Z. Lin, ``Absolute stability analysis of discrete-time systems with

   composite quadratic Lyapunov functions," IEEE Transactions on Automatic Control, Vol.50, pp.781-797, 2005.

7. T. Hu and Z. Lin, ``Convex analysis of invariant sets for a class of nonlinear systems,'' 
   Systems & Control Letters, 54(8), pp.729-737, 2005.

8. T. Hu, Z. Lin, W. Jiang and P. Allaire, ``Constrained control design for magnetic bearings 
   systems,'' ASME Journal of Dynamic Systems, Measurement and Control, Vol.127, No.4, pp.601-616, 2005.

9. T. Hu and Z. Lin,``Output regulation of linear systems with bounded continuous feedback,'' 
   IEEE Transactions on Automatic control, Vol.49, No.11, pp.1941-1953, 2004. 

10. T. Hu, B. Huang and Z. Lin, ``Absolute stability with a generalized sector condition,"
    IEEE Transactions on Automatic Control, Vol. 49, pp.535-548, 2004. 

11. T. Hu, Z. Lin and P. Allaire, ``Power-loss reduction by optimizing current allocation 
    in magnetic bearings,'' IEEE Transactions on Magnetics, Vol.40, May, pp.~1625-1635, 2004. 

12. H. Fang, Z. Lin and T. Hu, ``Analysis and control design of linear systems in the presence 
    of actuator saturation and L2-disturbances,'' Automatica, Vol.40, July, pp.1229-1238, 2004.

13. T. Hu, Z. Lin and J. Lam, ``A unified gradient approach to performance optimization 
    under pole assignment constraint", Journal of Optimization Theory and Applications,
    to appear, July, 2004. 

14. T. Hu and Z. Lin, ``Properties of the composite quadratic Lyapunov functions," 
    IEEE Transactions on Automatic Control, Vol.49, No.7, pp.1162-1167, 2004. 

15. T. Hu and Z. Lin, ``Controlled invariance of ellipsoids: linear vs nonlinear feedback," 
     Systems & Control Letters, Vol.53, pp.203-210, 2004. 

16. T. Hu, Z. Lin and Y. Shamash, ``On maximizing the convergence rate for linear systems 
    with input saturation," IEEE Transactions on Automatic Control, Vol.48, No.7, 
    pp.1249-1253, 2003. 

17. T. Hu and Z. Lin, ``On the tightness of a recent set invariance condition under 
    actuator saturation," Systems & Control Letters, Vol.49, No.5, pp.389-399, 2003. 

18. T. Hu and Z. Lin, ``Composite quadratic Lyapunov functions for constrained control systems," 
    IEEE Transactions on Automatic Control, Vol.48, No.3, pp.440-450, March 2003.

19. T. Hu and Z. Lin,``Output regulation of general discrete-time linear systems with 
    saturation nonlinearities,'' Int. J. of Robust and Nonlinear Control, Vol.12, No.13, 
    pp.1129-1143, 2002. 

20. T. Hu, D. Miller and L. Qiu, ``Null controllable region of LTI discrete-time systems 
    with input saturation,'' Automatica,  Vol.38, No.11, pp.2009-2013, 2002. 

21. T. Hu and Z. Lin, ``On improving performances with continuous feedback laws," 
    IEEE Transactions on Automatic Control, Vol.47, No.9, pp.1570-1575, 2002. 

22. T. Hu, Z. Lin and L. Qiu, ``An explicit description of the null controllable regions of
    linear systems with saturating actuators," Systems & Control Letters, Vol.47, No.1, 
    pp.65-78, 2002.

23. T. Hu and Z. Lin, ``On semi-global stabilizability of anti-stable systems by saturated 
    linear feedback," IEEE Transactions on Automatic Control, Vol.47, No.7, pp.1193-1198, 2002.

24. T. Hu and Z. Lin, ``Exact characterization of invariant ellipsoids for linear systems 
    with saturating actuators,'' IEEE Transactions on Automatic Control, Vol.47, No.1, 
    pp.164-169, 2002.

25. T. Hu, Z. Lin and B. M. Chen, ``An analysis and design method for linear systems subject 
    to actuator saturation and disturbance," Automatica, Vol.38, No.2, pp.351-359, 2002. 

26. T. Hu, Z. Lin and B. M. Chen, ``Analysis and design for linear discrete-time systems 
    subject to actuator saturation," Systems & Control Letters, Vol.45, No.2,
    pp.97-112, 2002. 

27. Y. Y. Cao, Z. Lin and T. Hu,``Stability analysis of linear time-delay systems subject to 
    actuator saturation,'' IEEE Transactions on Circuits and Systems - Part I: Fundamental 
    Theory and Applications, Vol.49, No.2, pp.233-240, 2002.

28. T. Hu, Z. Lin and Y. Shamash, ``Semi-global stabilization with guaranteed regional perfor-
    mance of linear systems subject to actuator saturation,'' Systems & Control Letters, 
    Vol.43, No.3, pp.203-210, 2001.

29. Z. Lin and T. Hu, ``Semi-global stabilization of linear system subject to output saturation,"
    Systems & Control Letters, Vol.43, No.3, pp.211-217, 2001. 

30. T. Hu and Z. Lin, ``A complete stability analysis of planar discrete-time linear systems 
    under saturation," IEEE Transactions on Circuits and Systems - Part I: Fundamental Theory
    and Applications, Vol.48, No.6, pp.710-725, 2001. 

31. T. Hu, Z. Lin and L. Qiu, ``Stabilization of exponentially unstable linear systems with 
    saturating actuators," IEEE Transactions on Automatic Control, Vol.46, No.6, 
    pp.973-979, 2001. 

32. T. Hu and Z. Lin, ``Practical stabilization of exponentially unstable linear systems 
    subject  to actuator saturation nonlinearity and disturbance,'' Int. J. of Robust and 
    Nonlinear Control, Vol.11, pp.555-588, 2001. 

33. T. Hu and Z. Lin, ``On enlarging the basin of attraction for linear systems under saturated 
    linear feedback,'' Systems & Control Letters, Vol.40, No.1, pp.59-69, 2000. 

34. T. Hu and Z. Lin, ``A complete stability analysis of planar linear systems under saturation,'' 
    IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Vol.47, No.4, 
    pp.498-512, 2000.

35. J. Lam, W.-Y. Yan, and T. Hu, ``Pole assignment with eigenvalue and stability robustness,'' 
    Int. J. Control, Vol.72, No.13, pp.1165-1174, 1999.

36. T. Hu and J. Lam, ``Improvement of parametric stability margin under pole assignment,'' 
    IEEE Transactions on Automatic Control, Vol.44, No.10, pp.1938-1942, 1999.

37. T. Hu and J. Lam, ``On optimizing performance indices with pole assignment constraints,'' 
    Proceedings of IME Part I -Journal of Systems and Control Engineering, Vol.212, 
    pp.327-337, 1998.

38. T.  Hu and L. Qiu, ``On structured perturbation of Hermitian matrices,'' Linear Algebra 
    and Its Applications, Vol.275-276, pp.287-314, 1998.

39. T. Hu and L. Qiu, ``Controllable regions of linear systems with bounded inputs,'' 
    Systems & Control Letters, Vol.33, pp.55-61, 1998. 

40. T. Hu and L. Qiu, ``Complex and real performance radii and their computation,'' Int. J. 
    of Robust and Nonlinear Control, Vol.7, pp.187-209, 1997.

Selected Conference Publications (Back to the Top)

1. T. Hu, ``Nonlinear control design for linear differential inclusions via
   convex hull of quadratics," Automatica, to appear. 

2. T. Hu, A. R. Teel and L. Zaccarian, ``Stability and performance for saturated systems 
   via quadratic and non-quadratic Lyapunov functions," IEEE Transactions on Automatic Control, to appear. 

3. T. Hu, ``Nonlinear control design for linear differential inclusions via
   convex hull quadratic Lyapunov functions," The 2006 American Control Conference.

4. T. Hu, R. Goebel, A.R. Teel and Z. Lin, ``Conjugate Lyapunov functions for saturated linear systems," 

   Automatica, 41(11), pp.~1949-1956, 2005.

5. R. Goebel, T. Hu and A. R. Teel, ``Dual matrix inequalities in stability and 
   performance analysis of linear differential/difference inclusions," in Current Trends 
   in Nonlinear Systems and Control. Birkhauser, 2005.

6. R. Goebel, A.R. Teel, T. Hu and Z. Lin, ``Conjugate convex Lyapunov functions for dual linear 

   differential equations," IEEE Transactions on Automatic Control, to appear.

7. T. Hu, Z. Lin, R. Goebel and A. R. Teel, ``Stability regions for saturated linear systems
   via conjugate Lyapunov functions," IEEE Conference on Decision and Control, 2004.

8. T. Hu and Z. Lin, ``Properties of the composite quadratic Lyapunov functions," 
   IEEE Transactions on Automatic Control, Vol.49, No.7, pp.1162-1167, 2004. 

9. T. Hu and Z. Lin, ``Composite quadratic Lyapunov functions for constrained control systems," 
   IEEE Transactions on Automatic Control, Vol.48, No.3, pp.440-450, March 2003.

1. T. Hu, A.R. Teel and Z. Lin, ``Lyapunov characterization of forced oscillations," 

   Automatica, to appear.

2. T. Hu, A. R. Teel and Z. Lin, ``A Lyapunov approach to frequency analysis," The 2004 
   American Control Conference, 2004. 

Systems with saturation(Back to the Top)

1. T. Hu, A. R. Teel and L. Zaccarian, ``Stability and performance for saturated systems 
   via quadratic and non-quadratic Lyapunov functions," IEEE Transactions on Automatic Control, to appear. 

2. T. Hu and Z. Lin, Control Systems with Actuator Saturation: Analysis and Design,
   Birkhauser, Boston, xvi, 392 p, July, 2001. (ISBN: 0-8176-4219-6).

3. T. Hu, R. Goebel, A.R. Teel and Z. Lin, ``Conjugate Lyapunov functions for saturated 
   linear systems," Automatica, 41(11), pp.~1949-1956, 2005.

4. T. Hu, A. R. Teel and L. Zaccarian, ``Performance analysis of saturated systems via two forms 
   of differential inclusions," IEEE Conference on Decision and Control, accepted, 2005.  

5. T. Hu, A. R. Teel and L. Zaccarian, ``Nonquadratic Lyapunov functions for performance analysis of 
   saturated systems," IEEE Conference on Decision and Control, accepted, 2005.  

6. T. Hu, A. R. Teel and L. Zaccarian, ``Nonlinear L2 gain and regional analysis 
   for linear systems with anti-windup compensation," The 2005 American Control Conference, pp.3391-3396, 2005.  

7. T. Hu, A. R. Teel and L. Zaccarian, ``Regional anti-windup compensation for linear 
   systems with input saturation," The 2005 American Control Conference, pp.3397-3402, 2005.  

8. T. Hu and Z. Lin,``Output regulation of linear systems with bounded continuous feedback,'' 
   IEEE Transactions on Automatic control, Vol.49, No.11, pp.1941-1953, 2004. 

9. H. Fang, Z. Lin and T. Hu, ``Analysis and control design of linear systems in the presence 
   of actuator saturation and L2-disturbances,'' Automatica, Vol.40, July, pp.1229-1238, 2004.

10. T. Hu and Z. Lin, ``Controlled invariance of ellipsoids: linear vs nonlinear feedback," 
     Systems & Control Letters, Vol.53, pp.203-210, 2004. 

11. T. Hu, Z. Lin and Y. Shamash, ``On maximizing the convergence rate for linear systems 
    with input saturation," IEEE Transactions on Automatic Control, Vol.48, No.7, 
    pp.1249-1253, 2003. 

12. T. Hu and Z. Lin, ``On the tightness of a recent set invariance condition under 
    actuator saturation," Systems & Control Letters, Vol.49, No.5, pp.389-399, 2003. 

13. T. Hu and Z. Lin, ``Composite quadratic Lyapunov functions for constrained control systems," 
    IEEE Transactions on Automatic Control, Vol.48, No.3, pp.440-450, March 2003.

14. T. Hu and Z. Lin,``Output regulation of general discrete-time linear systems with 
    saturation nonlinearities,'' Int. J. of Robust and Nonlinear Control, Vol.12, No.13, 
    pp.1129-1143, 2002. 

15. T. Hu, D. Miller and L. Qiu, ``Null controllable region of LTI discrete-time systems 
    with input saturation,'' Automatica,  Vol.38, No.11, pp.2009-2013, 2002. 

16. T. Hu and Z. Lin, ``On improving performances with continuous feedback laws," 
    IEEE Transactions on Automatic Control, Vol.47, No.9, pp.1570-1575, 2002. 

17. T. Hu, Z. Lin and L. Qiu, ``An explicit description of the null controllable regions of
    linear systems with saturating actuators," Systems & Control Letters, Vol.47, No.1, 
    pp.65-78, 2002.

18. T. Hu and Z. Lin, ``On semi-global stabilizability of anti-stable systems by saturated 
    linear feedback," IEEE Transactions on Automatic Control, Vol.47, No.7, pp.1193-1198, 2002.

19. T. Hu and Z. Lin, ``Exact characterization of invariant ellipsoids for linear systems 
    with saturating actuators,'' IEEE Transactions on Automatic Control, Vol.47, No.1, 
    pp.164-169, 2002.

20. T. Hu, Z. Lin and B. M. Chen, ``An analysis and design method for linear systems subject 
    to actuator saturation and disturbance," Automatica, Vol.38, No.2, pp.351-359, 2002. 

21. T. Hu, Z. Lin and B. M. Chen, ``Analysis and design for linear discrete-time systems 
    subject to actuator saturation," Systems & Control Letters, Vol.45, No.2,
    pp.97-112, 2002. 

22. Y. Y. Cao, Z. Lin and T. Hu,``Stability analysis of linear time-delay systems subject to 
    actuator saturation,'' IEEE Transactions on Circuits and Systems - Part I: Fundamental 
    Theory and Applications, Vol.49, No.2, pp.233-240, 2002.

23. T. Hu, Z. Lin and Y. Shamash, ``Semi-global stabilization with guaranteed regional perfor-
    mance of linear systems subject to actuator saturation,'' Systems & Control Letters, 
    Vol.43, No.3, pp.203-210, 2001.

24. Z. Lin and T. Hu, ``Semi-global stabilization of linear system subject to output saturation,"
    Systems & Control Letters, Vol.43, No.3, pp.211-217, 2001. 

25. T. Hu and Z. Lin, ``A complete stability analysis of planar discrete-time linear systems 
    under saturation," IEEE Transactions on Circuits and Systems - Part I: Fundamental Theory
    and Applications, Vol.48, No.6, pp.710-725, 2001. 

26. T. Hu, Z. Lin and L. Qiu, ``Stabilization of exponentially unstable linear systems with 
    saturating actuators," IEEE Transactions on Automatic Control, Vol.46, No.6, 
    pp.973-979, 2001. 

27. T. Hu and Z. Lin, ``Practical stabilization of exponentially unstable linear systems 
    subject  to actuator saturation nonlinearity and disturbance,'' Int. J. of Robust and 
    Nonlinear Control, Vol.11, pp.555-588, 2001. 

28. T. Hu and Z. Lin, ``On enlarging the basin of attraction for linear systems under saturated 
    linear feedback,'' Systems & Control Letters, Vol.40, No.1, pp.59-69, 2000. 

29. T. Hu and Z. Lin, ``A complete stability analysis of planar linear systems under saturation,'' 
    IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Vol.47, No.4, 
    pp.498-512, 2000.

Pole assignment and robust control (Back to the Top)

1. T. Hu, Z. Lin and J. Lam, ``A unified gradient approach to performance optimization 
   under pole assignment constraint", Journal of Optimization Theory and Applications,
   to appear, July, 2004. 

2. J. Lam, W.-Y. Yan, and T. Hu, ``Pole assignment with eigenvalue and stability robustness,'' 
   Int. J. Control, Vol.72, No.13, pp.1165-1174, 1999.

3. T. Hu and J. Lam, ``Improvement of parametric stability margin under pole assignment,'' 
   IEEE Transactions on Automatic Control, Vol.44, No.10, pp.1938-1942, 1999.

4. T. Hu and J. Lam, ``On optimizing performance indices with pole assignment constraints,'' 
   Proceedings of IME Part I -Journal of Systems and Control Engineering, Vol.212, 
   pp.327-337, 1998.

5. T.  Hu and L. Qiu, ``On structured perturbation of Hermitian matrices,'' Linear Algebra 
   and Its Applications, Vol.275-276, pp.287-314, 1998.

6. T. Hu and L. Qiu, ``Complex and real performance radii and their computation,'' Int. J. 
   of Robust and Nonlinear Control, Vol.7, pp.187-209, 1997.

Control applications(Back to the Top)

1. T. Hu, Z. Lin and P. Allaire, ``Power-loss reduction by optimizing current allocation 
   in magnetic bearings,'' IEEE Transactions on Magnetics, Vol.40, May, pp.~1625-1635, 2004.  
    
2. T. Hu, Z. Lin, W. Jiang and P. Allaire, ``Constrained control design of magnetic 
   bearing systems," ASME Journal of Dynamic Systems, Measurement and Control, Vol.127, No.4,
   pp.601-616, 2005.
    
3. T. Hu, Z. Lin, W. Jiang and P. Allaire, ``Control of balance beam with magnetic bearings:
   a linear model approach,'' The 8th International Symposium on Magnetic Bearings, pp.181-185, 
   Japan, August, 2002.
    
4. T. Hu, Z. Lin, B. Huang, P. Allaire,``Stabilization and performance of a balanced beam 
   suspended on magnetic bearings,'' Proceedings of the 2002 American Control Conference, 
   pp.4662-4667, Anchorage, Alaska, 2002.
    
5. T. Hu, Z. Lin, B. Huang, P. Allaire, ``On minimum current biasing and control design for 
   a balanced beam suspended on magnetic bearings," Proceedings of the 6th International 
   Symposium on Magnetic Suspension Technology (ISMST), pp.410-415, Turin, Italy,
   October, 2001.
    
6. T. Hu, Z. Lin, P. E. Allaire, "Controller design of magnetic suspension in artificial 
   heart pump," submitted to the 9th International Symposium on Magnetic Bearings.
    
7. T. Hu, Z. Lin, M. Abel and P. Allaire, "Human gait modeling: dealing with holonomic
   constraints," The 2004 American Control Conference, 2004.