Showing papers by "Alain Bensoussan published in 1976"
01 Jan 1976
TL;DR: A survey of currently available theory for systems the evolution of which can be described by semigroups of operators of class CO can be found in this paper, where the authors make a connection between the concepts of stabilizability and detectability and the problem of existence and uniqueness of solutions to the Riccati equation.
Abstract: Survey of currently available theory for systems the evolution of which can be described by semigroups of operators of class CO. Connection between the concepts of stabilizability and detectability and the problem of existence and uniqueness of solutions to the operator Riccati equation. Examples and Open problems.
17 citations
10 citations
01 Jan 1976
TL;DR: For a survey of results on systems defined over commutative rings, see SONTAG as discussed by the authors and Sontag et al. [19] and the work of as discussed by the authors.
Abstract: Representation theory for finite dimensional systems has been the subject of a great deal of discussion in recent years. In the case of linear systems defined over fields an account of the theory can be found in the books of BROCKETT and KALMAN-FALB-ARBIB and in the case of systems defined over rings in the book of EILENBERG, the papers of ROUCHALEAU-WYMAN-KALMAN, ROUCHALEAU-WYMAN and the thesis of JOHNSTON. For a lucid survey of results on systems defined over commutative rings, see SONTAG.
5 citations