Accession Number : AD0725367

Title :   On the Application of an Approximation Technique to the Problem of Optimal Stabilization of Nonlinear Systems.

Descriptive Note : Research note,

Corporate Author : GRUMMAN AIRCRAFT ENGINEERING CORP BETHPAGE N Y RESEARCH DEPT

Personal Author(s) : Boyanovitch,D.

Report Date : AUG 1963

Pagination or Media Count : 19

Abstract : The paper presents an approximation technique which can be used in the analytic construction of a control law for an arbitrary nonlinear control system. The problem considered here is the construction of a control law which will stabilize the system such that a given integral criterion achieves a minimum value along the trajectory. Liapunov's stability theory is used in the problem formulation, and the solution is achieved by utilizing either Galerkin's method or the method of characteristics, or a combination of the two. (Author)

Descriptors :   (*CONTROL SYSTEMS, MATHEMATICAL MODELS), NONLINEAR SYSTEMS, PARTIAL DIFFERENTIAL EQUATIONS, NONLINEAR DIFFERENTIAL EQUATIONS, HILBERT SPACE, STABILITY

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE