Conjectures on Liapunov qualitative game
Janislaw M. Skowronski · International Journal of Control · 1972
The qualitative, continuous, competitive game is modelled by the double input Bushaw's polysystem defined on finite dimensional vector spaces. The qualitative pay-off is formulated in terms of the existence of a class of families ofrelevant Liapunov functions due to particular strategies. The Liapunovflow in terms of a polysystem on Liapunov surfaces is introduced in general terms as a necessary and sufficient criterion of the shape of the resulting game funnel. An example of the single-target boundedness of the game illustrates the above conjectural considerations.