Accession Number : AD0699345

Title :   SIMPLIFIED ANALOG/HYBRID SOLUTIONS TO ALGEBRAIC EQUATIONS AND BOUNDARY-VALUE PROBLEMS,

Corporate Author : HARRY DIAMOND LABS WASHINGTON D C

Personal Author(s) : Hausner,Arthur

Report Date : SEP 1969

Pagination or Media Count : 35

Abstract : An experimental method is outlined for achieving the simplest possible stable feedback connections in a direct nulling solution of algebraic equations on an analog computer. A proof of stability for linear equations, sufficient conditions of constructability for nonlinear equations, and examples for both situations are given. In essence, the method requires a sensitivity test near the root, with the computer nulling previously connected residual errors. Once the feedback structure is obtained, the circuit automatically tracks solutions for wide variations of parameters. The technique is extended to analog/hybrid solutions of boundary-value problems, where feedback connections to accumulator circuits are determined experimentally. A five-parameter optimal control problem is solved automatically by this method. (Author)

Descriptors :   (*ANALOG COMPUTERS, EQUATIONS), (*ANALOG-DIGITAL COMPUTERS, *BOUNDARY VALUE PROBLEMS), MATRICES(MATHEMATICS), NONLINEAR SYSTEMS, CONTROL SYSTEMS, FEEDBACK

Subject Categories : Theoretical Mathematics
      Computer Hardware

Distribution Statement : APPROVED FOR PUBLIC RELEASE