Polynomial Control Systems.
Positive 2D discrete-time linear Lyapunov systems
Two models of positive 2D discrete-time linear Lyapunov systems are introduced. For both the models necessary and sufficient conditions for positivity, asymptotic stability, reachability and observability are established. The discussion is illustrated with numerical examples.
Problems on semigroups and control.
Properties of reachability and almost reachability subspaces of implicit systems: The extension problem