International Journal of Control, Vol.85, No.2, 213-219, 2012
Fractional discrete-time linear control systems with initialisation
Linear control systems with fractional differences and finite memory are considered. The evaluation of trajectories of such systems is studied. The extension of the classical notion of observability and controllability is given and developed. The necessary and sufficient conditions for observability and controllability are proved.
Keywords:linear fractional-difference systems;l-memory initial value problem;l-event;observability in s-steps;controllability in s-steps