MingQing Xiao Professor   Ph.D. University of Illinois, 1997   Partial Differential Equations, Control Theory, Optimization Theory, Dynamical Systems, Computational Science   Office: Neckers A 467 Office Phone: 618-453-6572 Email: mxiao at math.siu.edu Web Page: www.math.siu.edu/xiao Home Page: http://kalman.math.siu.edu/~mxiao/

Research Interests

Control Theory; Partial Differential Equations; Dynamical Systems; and Computational Science.

Selected Publications

1. Quantitative characteristic of rotating stall and surge for Moore-Greitzer PDE model of an Axial flow compressor, SIAM J. on Applied Dynamical Systems, 7 (2008), No. 1, 39-62.
2. Almost Sure Stability of Discrete-Time Switched Linear Systems: A Topological Point of View, with X, with Dai and Y. Huang, SIAM J. on Control Optim., 47 (2008), No. 4, 2137-2156.
3. The global existence of nonlinear observers with linear error dynamics: A topological point of view,Systems Control Lett. 55 (2006), no.10, 849-858.
4. A direct method for the construction of nonlinear discrete-time observer with linearizable error dynamics, IEEE Trans. Automat. Control 51 (2006), no. 1, 128-135.
5. Nonlinear observer design in the Siegel domain, with A.J. Krener, SIAM J. Control Optim. 41 (2002), no. 3, 932-953.
6. Center manifold of the viscous Moore-Greitzer PDE model, with T. Basar, SIAM J. Appl. Math. 61 (2000), no. 3, 855-869.
7. Finite-dimensional compensators for the $H\sp \infty$-optimal control of infinite-dimensional systems via a Galerkin-type approximation, with T. Basar, SIAM J. Control Optim. 37 (1999), no. 5, 1614-1647.