# time-varying system

## time-varying system

[′tīm ¦ver·ē·iŋ ‚sis·təm]
(control systems)
A system in which certain quantities governing the system's behavior change with time, so that the system will respond differently to the same input at different times.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
The solution is given in Theorem 2, generalizing the polynomial formulas from  to time-varying systems. The difference which makes this extension non-obvious is that a time-invariant system is described by two non-commutative polynomials while a time-varying system requires three polynomials, and the third one has to be incorporated into the analysis.
In order to demonstrate the effectiveness of our proposed algorithm, let the discrete-time linear time-varying system as follows.
For the linear time-varying system (1)-(2), assume the estimate of the state at k - 1 is [??](k - 1 | k - 1), the corresponding estimation error covariance is P(k - 1 | k - 1), and then the fusion estimate of the state at k is
Caption: Figure 5: Fault estimating result in 30th iterations of time-varying system.
In the experiment, no external excitation is generated to excite the coupled time-varying system (the shaker shown in Figure 9 is not in use), and the system is only excited by the motion of the moving mass.
Although the first paper about the commutativity appeared in 1977  which had introduced the commutativity concept for the first time and studied the commutativity of the first-order continuous-time linear time-varying systems, this paper is important for proving that a time-varying system can be commutative with another time-varying system only; further very few classes of systems can be commutative.
Secondly, a dynamic fuzzy logic controller is designed by means of a linear time-varying system to compensate for the unknown model uncertainties [f.sub.[DELTA]](x) and [g.sub.[DELTA]](x) and disturbance d(t).
The state-space model of non-linear time-varying system is supposed to consist of a discrete-time difference equation.
We first consider the continuous-time nonlinear time-varying system with delay
Hence, many authors devote themselves to studying the stability and many effective methods of the time-varying system to gain less conservative delay-dependent stability criteria [1-11], which include linear systems with the delay-fraction theory [2, 3] and nonlinear systems Lure systems [6-8].
A moving mass is a proper characteristic of a time-varying system, which is in general one of the sources of nonstationary signals.
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