
Accession Number : AD0758785
Title : Structural Stability for the Riccati Equation,
Corporate Author : UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES DEPT OF AEROSPACE ENGINEERING
Personal Author(s) : Bucy,Richard S.
Report Date : APR 1973
Pagination or Media Count : 10
Abstract : A variant of the notion of structural stability of Thom is introduced for the Riccati equation. The author demonstrates a theorem which resolves structural stability for the Riccati equation, and gives a clearer picture of certain algebraic pathology of the equilibrium solution. These pathologies are shown to be structurally unstable and, hence, computationally irrelevant. (Author)
Descriptors : (*MATRICES(MATHEMATICS), NUMERICAL ANALYSIS), STABILITY, DIFFERENTIAL EQUATIONS, TOPOLOGY, THEOREMS, PERTURBATION THEORY, ADAPTIVE CONTROL SYSTEMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE