Control and Cybernetics Discrete-time Control Systems on Homogeneous Spaces: Partition Property
نویسندگان
چکیده
Abstract: If the system semigroup of a control system is a group, the system has the partition property, i.e., the reachable sets form a disjoint partition in the state space. The converse is not true in general. In this work we give sufficient conditions for the partition property for a family of discrete-time control systems on homogeneous spaces. We apply our results to Inverse Iteration systems on flag manifolds, which are closely related to numerical algorithms.
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