Title :
A new error model for adaptive systems
Author :
Lin, Yuan-Hao ; Narendra, Kumpati S.
Author_Institution :
Yale University, New Haven, CT, USA
fDate :
6/1/1980 12:00:00 AM
Abstract :
A simple error model is described for both discrete and continuous time adaptive systems. The stability of the model for both bounded and unbounded inputs is analyzed for the discrete case and extended to continuous time models. It is shown that

in the former case and

in the latter case due to the presence of a feedback signal and these in turn play an important role in the stability analysis of discrete and continuous time adaptive systems.
Keywords :
Adaptive control; Linear systems, time-invariant continuous-time; Linear systems, time-invariant discrete-time; Stability; Adaptive control; Adaptive systems; Computer errors; Continuous time systems; Equations; Filters; Least squares approximation; Noise cancellation; Programmable control; Stability analysis;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1980.1102339