Sampled-data Nash controls in non-zero-sum differential games†

Publisher Website
Google Scholar
Abstract
Non-Zero-sum differential games where measurements of the state vector are possible only at discrete instants of time during the course of play are considered, and necessary conditions for the existence of a pair of sampled-data Nash controls are obtained. These conditions are different from those corresponding to the open-loop or closed-loop solutions. Linear quadratic games are then treated and a simple illustrative example which reduces to a pursuit-evasion game is presented.

This publication has 2 references indexed in Scilit: