Longtime dynamics in adaptive gain control systems
- Leonov, Gennady A.
- Schneider, Klaus R.
2010 Mathematics Subject Classification
- 93C40 34D23 34D05 34D45 93C80
- adaptive control systems, frequency domain methods, global attractor, Hausdorff dimension
We study the longtime dynamics of a nonlinear adaptive control system introduced by Mareels et al.  to control the behavior of a plant which can be described by a finite dimensional SISO linear time invariant system stabilizable by a high gain output feedback. We apply frequency domain methods to derive conditions for global stability, to approximate the region containing the global attractor and to estimate its Hausdorff dimension.
- Lecture Notes in Control and Inform. Sci., 273 (2002), pp. 241-254