A model based experimental method of tracking the "hidden" parameter drift in nonlinear dynamical systems is described. Local linear models constructed using delay coordinate embedding are used to analyze data collected from systems with parameters that are drifting on a slow time scale according to ...
Mixing simultaneous measurements and delay coordinates of severla variables in the embedding vector allows to fuse data from multiple sources. This paper presents the corresponding method for multivariate time series prediction. This novel method is tested in prediction of computer generated series and ...
Delay-coordinate embedding is a powerful, time-tested mathematical framework for reconstructing the dynamics of a system from a series of scalar observations. Most of the associated theory and heuristics are overly stringent for real-world data, however, and real-time use is out of the question ...
Time Series Prediction of Short Circuit Current for Synchronous Control of Synthetic Test Based on Delay Coordinate Embeddingtime series predictionshort circuit currentsynchronous controlsynthetic testSynthetic test is regarded as a very important method for testing the breaking capability of high voltage ...
and the abnormal delay observed value of the node at the next moment is detected and inhibited, so as to obtain delayresult smoothly output by the node, the delay result is used for carrying out network distance semi measure space embedding, thus ensuring the accuracy of the node to establish...
Here we consider systems whose governing equations are unknown and apply the chaos control method using the nonlinear approximations. Delay coordinate embedding techniques are used, so that approximate saddle points to be stabilized and nonlinear approximations of the systems and stable manifolds are ...