Stabilizing and Identification of the Opponent in Nonlinearizable Differential Game with Incomplete Information

Abstract

Applying the Liapunov design technique and the theory of nonlinear adaptive identifiers, models are constructed to provide state and opponent's control information for feedback strategies in a two players competitive nonlinearizable differential game. The information is of prescribed accuracy and obtained after a prescribed time interval. The identifiers allow to attain the standard objectives: playability for collision (capture) with a target, avoidance of a target, and possible escape from a target. The linear game observers of the Luenberger type follow as a particular case. The method is illustrated by an example.