Accession Number : AD0665336

Title :   STABILIZABILITY AND OPTIMAL CONTROL.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Lukes,Dahlard L.

Report Date : OCT 1967

Pagination or Media Count : 24

Abstract : A stability-theoretic proof of the stabilizability of a completely controllable process is given. The stabilizability hypothesis is used to develop the optimal regulator theory of linear systems and is shown to be equivalent to the solvability of Kalman's quadratic generalization of Lyapunov's linear equation. (Author)

Descriptors :   (*LINEAR SYSTEMS, STABILITY), NONLINEAR SYSTEMS, DIFFERENTIAL EQUATIONS, THEOREMS, PARTIAL DIFFERENTIAL EQUATIONS, REAL NUMBERS, THESES, CONVERGENCE, INEQUALITIES, CONTROL, NUMERICAL INTEGRATION, OPTIMIZATION

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE