Accession Number : AD0258397

Title :   SHORT-TIME STABILITY IN LINEAR TIME-VARYING SYSTEMS

Descriptive Note : Research rept.

Corporate Author : POLYTECHNIC INST OF BROOKLYN N Y MICROWAVE RESEARCH INST

Personal Author(s) : DORATO,PETER

Report Date : 09 MAY 1961

Pagination or Media Count : 61

Abstract : The concept of short-time stability finds application in missile and satellite systems where operating times are often of finite duration. Short-time stability assures, in a finite time interval, that all inputs bounded by a prescribed constant Greek epsilon result in outputs bounded by a second prescribed constant. The study of short-time stability is divided into two categories: undriven systems and driven systems. Undriven systems are represented by a set of differential equations. Sufficient conditions for short-time stability are given in terms of the coefficients. Driven systems are represented by their impulse response. A necessary and sufficient condition for short-time stability in driven systems is given directly in terms of impulse response. Sufficient conditions for short-time stability in feedback systems, in terms of the open loop impulse response are also included. In addition the concept of shorttime C-equivalence, essentially a structural stability concept, is introduced. Necessary and sufficient conditions for two systems to be short-time C-equivalent are presented. (Author)

Descriptors :   *LINEAR SYSTEMS, *TIME LAG THEORY, DIFFERENTIAL EQUATIONS, FEEDBACK, RELIABILITY, STABILITY

Distribution Statement : APPROVED FOR PUBLIC RELEASE