Accession Number : AD0704745

Title :   CONTROLLABILITY OF LINEAR OSCILLATORY SYSTEMS USING POSITIVE CONTROLS. I,

Corporate Author : CENTER FOR NAVAL ANALYSES ARLINGTON VA

Personal Author(s) : Saperstone,Stephen H.

Report Date : 03 APR 1970

Pagination or Media Count : 34

Abstract : A linear autonomous control process is considered where the null control is an extreme point of the restraint set Omega. In the event that Omega = (0, 1) (hence, scalar control) necessary and sufficient conditions are given so that the reachable set from the origin (in phase space) contains the origin as an interior point. For vector valued controls with each component in (0, 1), sufficient conditions are given so that the reachable set from the origin of a non-linear autonomous control process contains the origin as an interior point. (Author)

Descriptors :   (*CONTROL SYSTEMS, MATHEMATICAL MODELS), (*VIBRATORS(MECHANICAL), OSCILLATION), EQUATIONS OF MOTION, DIFFERENTIAL EQUATIONS, MATRICES(MATHEMATICS), PERIODIC VARIATIONS, THEOREMS

Subject Categories : Theoretical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE