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