Section: New Results

Parameter estimation in finite-time without PE

Participant : Denis Efimov.

The problem of estimation in the linear regression model was studied in [24], [48], [25] under the hypothesis that the regressor may be excited on a limited initial interval of time only. Then the estimation solution was searched on a finite interval of time also based on the framework of finite-time or fixed-time converging dynamical systems. The robustness issue was analyzed and a short-time input-to-state stability property was introduced for fixed-time converging time-varying systems with a sufficient condition, which was formulated with the use of a Lyapunov function. Several estimation algorithms were proposed and compared with existing solutions.