Accession Number : AD0693534

Title :   A CONTROLLABILITY THEORY FOR NONLINEAR SYSTEMS WITH APPLICATIONS.

Descriptive Note : Technical rept.,

Corporate Author : HARVARD UNIV CAMBRIDGE MASS DIV OF ENGINEERING AND APPLIED PHYSICS

Personal Author(s) : Gershwin,Stanley B. ; Jacobson,David H.

Report Date : JUL 1969

Pagination or Media Count : 47

Abstract : A Liapunov-like approach to the controllability of nonlinear dynamic systems is presented. A theory is developed which yields sufficient conditions for complete controllability for some classes of nonlinear systems; feedback controllers which drive the systems to desired terminal conditions, at a specified final time, are also obtained. Well-known controllability conditions for linear dynamic systems are derived using this general controllability theory. An uncontrollability theory, based also upon Liapunov-like notions, is presented; this yields sufficiency conditions for uncontrollability for some types of nonlinear systems. Relationships of the theories to other nonlinear controllability approaches are indicated. (Author)

Descriptors :   (*ADAPTIVE CONTROL SYSTEMS, STABILITY), (*NONLINEAR SYSTEMS, STABILITY), DIFFERENTIAL EQUATIONS, MATRICES(MATHEMATICS), ANALYTIC FUNCTIONS, NUMERICAL ANALYSIS, FEEDBACK, THEOREMS

Subject Categories : Theoretical Mathematics
      Test Facilities, Equipment and Methods

Distribution Statement : APPROVED FOR PUBLIC RELEASE