- Robust Stability Analysis (- or µ-Analysis):
Exact Complex µ Computation
- Symbolic Computation (Computer Algebra)
- Groebner Basis, Homotopy Continuation Method, Algebraic Geometry
- Topology, Singularity Theory, Stratified Morse Theory
My Advisor: E. A. Jonckheere
Photos:
Publications:
- (with Prof. E. A. Jonckheere),
"Stability Margin relative to Stratified Uncertainty Space,"
IEEE Conference on Decision and Control (CDC), pp.1322-1323,
New Orleans, Louisiana, Dec. 1995.
- (with Prof. E. A. Jonckheere),
"Complex-Analytic Theory of the mu-Function,"
American Control Conference (ACC), pp.366-371, Albuquerque, New Mexico, 1997.
- (with Prof. E. A. Jonckheere),
"Real versus Complex Robustness Margin Continuity as a Smooth versus Holomorphic Singularity Problem,"
Proc. CDC, pp. 3266-3271, San Diego, California, 1997.
- (with Prof. E. A. Jonckheere),
"Topological Theory of 0/0 Ambiguities in Robust Control,"
Proc. CDC, pp. 4354-4359, San Diego, California, 1997.
- "An Algorithm of Symbolic Computation for Stability Margin," Proc. ACC,
pp. 2304-2308, Philadelphia, Pennsylvania, 1998.
- "A New Method to Compute Complex Robustness Margin," Proc. IFAC'99 World Congress,
vol. G, pp. 37-42, Beijing, P. R. China, 1999.
- "Symbolic and Algebraic Computationin Robust Stability Analysis,"
Booklet of Posters' Abstract, E. V. Zima and M. O. Rayes (eds.),
pp. 27-30, ACM/SIGSAM International Symposium on Symbolic and Algebraic Computation, Vancouver, Canada, 1999.
You can e-mail me at:
nke@eudoxus.usc.edu