My research interests are on controlling
systems whose dynamics are modelled by partial differential equations.
Vibrating structures and acoustic noise control are a few such
examples.
Research Interests (Theoretical)
- Well-posedness of boundary control
systems (first order in time and elliptic)
- Well-posedness of boundary control
systems (2nd or higher order in time and elliptic)
- Controllability of non-elliptic
boundary control systems.
- Well-posedness of boundary control
system with delays.
- Relative degree of infinite
dimensional system
Research Interests (Numerical)
- Faster and more accurate
approximations of infinite dimensional system in frequency domain.
Publications
- A. Cheng and K.A. Morris, ``Transfer
Functions for Boundary Control Systems'', Proc. of the 38th
Conference on Decision and Control, Phoenix, Arizona,
pg. 4296-4300, 1999.
- A. Cheng and K.A. Morris,
``Well-Posedness of Boundary Control Systems''. SIAM
J. Control and Optimization, Vol 42, No.4, pp1244-1265, 2003.
- A. Cheng and K.A. Morris, ``Accurate
Poles and Zeros Approximation For Infinite Dimensional
System''. 42nd Conference on Decision and Control, Maui, Hawaii, 2003.
- A. Cheng, ``Well-Posedness of Second
Order Uniformly Elliptic Boundary Control Systems with Additive or
Multiplicative Uncertainty''. Journal of Mathematics and
Statistics, (to appear).
Talks
- European Control Conference, Brussels, Belgium, 1997.
- 38th Conference on Decision and
Control, Phoenix, Arizona, 1999.
- 42nd Conference on Decision and
Control, Maui, Hawaii, 2003.
- 43rd Conference on Decision and
Control, Paradise Island, Bahamas, 2004.