Controllability Of Nonlinear Discrete Time Systems: A Lie-Algebraic Approach

This paper presents a geometric study of controllability for discrete-time nonlinear systems. Various accessibility properties are characterized in terms of Lie algebras of vector fields. Some of the results obtained are parallel to analogous ones in continuoustime, but in many respects the theory is substantially different and many new phenomena appear

Controllability Of Nonlinear Discrete Time Systems: A Lie-Algebraic Approach

This paper presents a geometric study of controllability for discrete-time nonlinear systems. Various accessibility properties are characterized in terms of Lie algebras of vector fields. Some of the results obtained are parallel to analogous ones in continuoustime, but in many respects the theory is substantially different and many new phenomena appear