Use of synchronization and adaptive control in parameter estimation from a time series

Details Use of synchronization and adaptive control in parameter estimation from a time series Use of synchronization and adaptive control in parameter estimation from a time series

1998-03-31

arxiv.org/abs/chao-dyn/9804005v2

Nonlinear Sciences

Chaotic Dynamics

Revised for simultaneous estimation of many parameters. 24 pages of RevTex, 12 figures in postscript files. To appear in PR(E)

Scientific paper

10.1103/PhysRevE.59.284

A technique is introduced for estimating unknown parameters when time series of only one variable from a multivariate nonlinear dynamical system is given. The technique employs a combination of two different control methods, a linear feedback for synchronizing system variables and an adaptive control. The technique is shown to work even when the unknown parameter appears in the evolution equations of the variables other than the one for which the time series is given. The technique not only esablishes that explicit detailed information about all system variables and parameters is contained in a scalar time series, but also gives a way to exract it out under suitable conditions. Illustrations are presented and effect of noise is studied.

Affiliated with

Also associated with

No associations

Rating

Use of synchronization and adaptive control in parameter estimation from a time series does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Use of synchronization and adaptive control in parameter estimation from a time series, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Use of synchronization and adaptive control in parameter estimation from a time series will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-309349