The Riccati equation, imprimitive actions and symplectic formsThis paper looks at the structure of the solution of a matrix Riccati differential equation under a predefined group of transformations. The group of transformations used is an expanded form of the feedback group. It is shown that this group of transformations is a subgroup of the symplectic group. The orbits of the Riccati differential equation under the action of this group are studied and it is seen how these techniques apply to a decentralized optimal control problem.
Document ID
19830053906
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Garzia, M. R. (Babcock and Wilcox Co. Barberton, OH, United States)
Loparo, K. A. (Babcock and Wilcox Co. Barberton, OH, United States)
Martin, C. F. (Case Western Reserve University Cleveland, OH, United States)