Carpanese, Nevio (Univ. of Padova)

On the Classification of Solutions of the Continuos Time-Varying Riccati Inequality

Scheduled for presentation during the Regular Session "H2 and H-infinity control I" (ThP01), Thursday, July 27, 2006, 15:45−16:10, Room B2

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 19, 2024

Abstract

Time-varying differential Riccati inequalities are considered in this paper. Subsets of totally ordered symmetric solutions are studied in order to give a parameterization. It is first assumed that solutions in the subset are differentiable and a geometrical meaning to parameterization is provided for a class of invariant subspaces, then even non-differentiable weak-solutions are allowed and the parameterization problem is reformulated in the infinite-dimensional Hilbert space setting.