Accession Number : AD0264053

Title :   MONTHLY ACCESSION LIST 50

Corporate Author : BATTELLE MEMORIAL INST COLUMBUS OHIO RADIATION EFFECTS INFORMATION CENTER

Report Date : 15 SEP 1961

Pagination or Media Count : 1

Abstract : AD-264 053AD-264 054Div. 15, 12, 22U (TIPSP/MFA) OT price $1.60 Space Technology Labs., Inc., Los Angeles, Calif. THE EVALUATION OF SOME QUALITY INDICES BY MEANS OF LYAPUNOV FUNCTIONS, by Paul Constantinescu, tr. by Naum S. Bers. May 61, 19p. incl. illus. tables (R EPT. NO. STLTR-61-5110-22, Trans. from Automatica Si Electronica, 2:139-144, 1958). Unclassified report DESCRIPTORS: (*Control systems, Nonlinear systems, *Quality control.) (*Functions, Dif ferential equations, Integral equations, Matrix algebra.) (Translation, Rumania, Technological intelligence.) Open-ended Terms: Lyapunov functions. A statement and proof of a theorem concerning the asymptotic stability in the large of the trivial solution of x = f (x, t) is presented. Two quality or performance indices, maximum overshoot and settling time are evaluated y using the theorem in conjunction with Lyapunov functions. The results are then applied by way of illustrative examples to two nonlinear control systems of second and third order respectively. The paper concludes with a discu sion of ways in which the evaluation of the performance index could be improved, for instance, by using different Lyapunov functions. (Author)

Descriptors :   *BIBLIOGRAPHIES, *RADIATION EFFECTS, CERAMIC MATERIALS, DOSIMETERS, ELECTRONIC EQUIPMENT, ELECTRONICS, MATERIALS, MESONS, NUCLEAR EXPLOSIONS, POLYMERS, SPACE ENVIRONMENTS, TEST FACILITIES

Distribution Statement : APPROVED FOR PUBLIC RELEASE