Geometric control of patterned linear systems

es of circulant matrices. Our class is broader than just circulants, and we study patterned systems using abstract algebra, specifically the observation that a set of matrices with common eigenvectors has useful relationships with a set of invariant subspaces. The description of the class in terms of subspaces allows these systems to be studied under geometric control theory. In particular, the objective is to find feedback controllers to solve some of the classic problems of geometric control such as the restricted regulator problem, while preserving the pattern of the system. We conclude with a discussion of several applications of the results. OVIDIU CALIN, Department of Mathematics, Eastern Michigan University, Ypsilanti, Michigan Non-Holonomic Systems and Sub-Riemannian Geometry Sub-Riemannian geometry is the underlying model for non-holonomic systems in a similar way as Riemannian geometry is the framework for classical dynamical systems. For instance, the position of a ship on a...

• Type: Journal
• Year: 2010
• Where: CDC
• Authors: Sarah C. Hamilton, Mireille E. Broucke
• Keywords: CDC 2010, Control Systems, Geometric Control, Sub-riemannian Geometry, Systems