Accession Number : AD0467034

Title :   STABILITY OF A CLASS OF DIFFERENTIAL EQUATIONS WITH A SINGLE MONOTONE INCREASING NONLINEARITY.

Descriptive Note : Technical rept.,

Corporate Author : HARVARD UNIV CAMBRIDGE MA CRUFT LAB

Personal Author(s) : Narendra, Kumpati S. ; Neuman, Charles P.

Report Date : 28 APR 1965

Pagination or Media Count : 29

Abstract : The stability of a class of dynamical systems which do not satisfy the Popov theorem is examined. Specifically, by introducing a new Lyapunov function and utilizing frequency domain techniques, sufficient conditions are derived for the stability of the class of systems with a linear plant in the forward path and a monotone increasing nonlinearity in the feedback path. By this assumption of monotone increasing feedback nonlinearities, less restrictive conditions on the linear part of the system, the plant, are obtained. Routh-Hurwitz type conditions are obtained for a class of systems whose linear plants have real, non-zero, zeros. Some examples are presented in order to illustrate the ideas developed. (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, STABILITY), FUNCTIONS(MATHEMATICS), THEOREMS.

Distribution Statement : APPROVED FOR PUBLIC RELEASE