Accession Number : AD0764631

Title :   Stability of Multiple-Loop Nonlinear Time-Varying Systems.

Descriptive Note : Technical rept.,

Corporate Author : IOWA STATE UNIV AMES ENGINEERING RESEARCH INST

Personal Author(s) : Michel,Anthony N. ; Porter,D. W.

Report Date : JUL 1973

Pagination or Media Count : 125

Abstract : Sufficient conditions for the input-output stability of multiple-loop systems, in the frequency domain and in the time domain, are established. Both gain results and sector results are presented. In all cases the objective is the same; to analyze complex systems in terms at their subsystems and in terms of their interconnecting structure. In order to demonstrate the usefulness of the method advanced, three specific examples are considered. These include: (1) An interconnection of three linear time-invariant elements with a linear time-varying element, a piecewise linear element, and a hysteresis nonlinearity; A network formed from the interconnection of two passive elements with a nonlinear time-varying resistance and a nonlinear time-varying conductance; A third-order nonlinear time-varying differential equation involving time delay. (Author)

Descriptors :   (*ADAPTIVE CONTROL SYSTEMS, MATHEMATICAL MODELS), (*NONLINEAR DIFFERENTIAL EQUATIONS, FUNCTIONAL ANALYSIS), NONLINEAR SYSTEMS, STABILITY, MATRICES(MATHEMATICS), INEQUALITIES, FEEDBACK, THEOREMS, TIME LAG THEORY

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE