•  Research interests: Data-Based Approaches for the Model Reduction of Nonlinear Control and Dynamical Systems, Bifurcations for Random and Control Systems, Equivalence and Ergodicity of Infinite-Dimensional SDEs and SPDEs, Normal Forms for Control and Dynamical Systems.
•  Selected Papers:
  • J. Bouvrie and B. Hamzi. "Balanced Reduction of Nonlinear Control Systems in Reproducing Kernel Hilbert Space", 48th Annual Allerton Conference on Communication, Control, and Computing, 2010. [arxiv]
  • B. Hamzi, J.S.W. Lamb, D. Lewis. "A Simple Characterization of the Normal Forms of Nonlinear Control Systems", presented at the  Ninth SIAM Conference on Control and Its Applications, Denver, Colorado, July 2009. [submitted]
  • B. Hamzi and A. J. Krener. "The Controlled Center Systems", IEEE Transactions on Automatic Control, 2007, vol. 52, no11, pp. 2188-2192.
  • B. Hamzi, A. J. Krener, W. Kang, The Controlled Center Dynamics of Discrete Time Control Bifurcations, Systems & Control Letters, Vol. 55, No. 7, 585-596, 2006.
  • W. Kang, B. Hamzi, and A.J. Krener,  On the  Convergence and Behavior of Three Dimensional Normal Forms, Proc. of the 1st IFAC Conference on the Analysis and Control of Chaotic Systems, 2006.
    
  • B. Hamzi, W. Kang and A. J. Krener, The Controlled Center Dynamics, SIAM J. Multiscale Modeling & Simulation, Vol. 3, No. 4, 2005, pp838-852.
  • A.J. Krener, W. Kang, B. Hamzi, and I.A. Tall. Low codimension control singularities for single input nonlinear systems, in "New directions and applications in control and theory", 2005, vol. 321, pp. 181-192.
  • B. Hamzi, W. Kang and J.-P. Barbot, Analysis and Control of Hopf Bifurcations, SIAM J. on Control and Optimization, Vol. 42, No. 6, pp. 2200-2220, 2004.
  •  B. Hamzi, W. Kang, and A. J. Krener,  Stabilization of Discrete-Time Systems with a Fold  or Period Doubling Control Bifurcation, Proc. of the 16th IFAC World Congress.
  • B. Hamzi, W. Kang, and A. J. Krener, Control of Center Manifolds, Proc. of the 42nd IEEE Conference on Decision and Control,  2065 - 2070, 2003.
  • B. Hamzi and A. J. Krener. "Practical Stabilization of Systems with a Fold Control Bifurcation" in New Trends in Nonlinear Dynamics and Control and their  Application, W. Kang, C. Borges and M. Xiao eds.,  pp. 34-48, Springer, Berlin, 2003.
  • B. Hamzi and W. Kang, Resonant Terms and Bifurcations of Nonlinear Control Systems with One Uncontrollable Mode, Systems and Control Letters, Vol. 49 (4), 2003, pp. 267-278.
  • B. Hamzi and I. A. Tall,  Normal Forms for Discrete-Time Control Systems, Proc. of the 42nd IEEE Conference on Decision and Control, 2, 1357 - 1361, 2003.
  •  B. Hamzi, Analysis and Stabilization of nonlinear systems with  a zero-Hopf control bifurcation, Proc. of the 41st IEEE Conference on Decision and Control,   4, pp. 3912-3917, 2002.
  • B. Hamzi, S. Monaco, and D. Normand-Cyrot,  Quadratic stabilization of systems with period doubling bifurcation, Proc. of the 41st IEEE Conference on Decision and Control,  4,  pp. 3907-3911, 2002.
  • B. Hamzi, J.-P. Barbot, S. Monaco, and D. Normand-Cyrot,  Nonlinear Discrete-Time Control of Systems with a Naimark-Sacker Bifurcation, Systems and Control Letters, 44, pp. 245-258, 2001.
    
  • B. Hamzi, Quadratic Stabilization of Nonlinear Control Systems with a Double-Zero Control Bifurcation, Proc. of  the 5th IFAC symposium on Nonlinear Control Systems,  pp. 161-166, 2001.
    
  • B. Hamzi, Some Results on Inverse Optimality Based Designs, Systems and Control Letters,  43, pp. 239-246, 2001.
    
  • B. Hamzi and L. Praly, Ignored Input Dynamics and a new Characterization of Control Lyapunov Functions, Automatica, 37, pp. 831-841, 2001.
    
    
•  Teaching: 

Spring 2010: MAT 132S, MAT 131