Short Time Stability Of Forced Linear Time Varying Systems
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Author | : Peter Dorato |
Publisher | : |
Total Pages | : 156 |
Release | : 1961 |
Genre | : Stability |
ISBN | : |
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).
Author | : John P. Portasik |
Publisher | : |
Total Pages | : 112 |
Release | : 1967 |
Genre | : Differential equations, Linear |
ISBN | : |
Author | : John Alan Richards |
Publisher | : Springer |
Total Pages | : 200 |
Release | : 1983 |
Genre | : Science |
ISBN | : |
Theory and techniques; Applications; Bessel functions generations by chebyshev polynomial methods.
Author | : |
Publisher | : |
Total Pages | : 1460 |
Release | : 1991 |
Genre | : Aeronautics |
ISBN | : |
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Author | : Braham Barkat |
Publisher | : |
Total Pages | : 118 |
Release | : 1988 |
Genre | : Linear systems |
ISBN | : |
Author | : Kostas S. Tsakalis |
Publisher | : |
Total Pages | : 302 |
Release | : 1993 |
Genre | : Science |
ISBN | : |
Author | : Belghasem Abdulgalil Dawaghi |
Publisher | : |
Total Pages | : 188 |
Release | : 1974 |
Genre | : |
ISBN | : |
Author | : Leonard John Forys |
Publisher | : |
Total Pages | : 88 |
Release | : 1965 |
Genre | : |
ISBN | : |
Author | : Bernhard Bussmann |
Publisher | : |
Total Pages | : 0 |
Release | : 1971 |
Genre | : Linear systems |
ISBN | : |
The stability of systems is investigated which can be described by differential equations consisting of a linear time- varying part and one nonlinear term. First, only the linear part is considered. Definition and properties of the impulse response are discussed in detail. Closed form solutions are evaluated for some special systems. For the general case, approximations are determined by comparing two integral equations. Then, utilizing the results of the linear part, an integral equation is set up for the complete system, including the nonlinear term. Sufficient stability conditions are derived. It is shown that the appropriate Volterra series is convergent unde relatively weak restrictions.
Author | : Huaider Pai |
Publisher | : |
Total Pages | : 278 |
Release | : 1994 |
Genre | : Control theory |
ISBN | : |