The identification of a nonlinear continuous output-only system from a time series is considered for the case that the functional form of the model is not known beforehand. To estimate both functions and parameters, a combination of nonparametric modeling based on nonlinear regression and parametric modeling based on a multiple shooting algorithm is proposed. This strategy to determine nonlinea...

The batch-to-batch model-based iterative optimal control strategy for batch processes is realized based on multilayer recurrent fuzzy neural network (MRFNN) and chaotic search. MRFNNs are used to model batch processes. Modeling and optimization problems are mainly solved by chaotic search. Due to model-plant mismatches and disturbances, the calculated optimal control profile may not be optimal ...

In this paper, chaotic behavior in current-mode-controlled dc drive systems has been analyzed. The key is to derive an iterative map that describes the nonlinear system dynamics. Analytical modeling of fundamental and subharmonic oscillations as well as their stability analysis are presented. The results show that the current-mode-controlled dc drive systems generally exhibit chaotic behavior. ...

` The behavior of IP based network traffic has been the subject of several works. In this paper we compare two modeling approaches and their ability to capture two basic traffic features: packet size distribution and interarrival times. Data traces have been measured at the border gateway of the campus network of the University of Pavia at different times of the day. The two modeling schemes us...

modeling and analysis of future prices has been hot topic for economic analysts in recent years. traditionally, the complex movements in the prices are usually taken as random or stochastic process. however, they may be produced by a deterministic nonlinear process. accuracy and efficiency of economic models in the short period forecasting is strategic and crucial for business world. nonlinear ...

Attractor systems are useful in neurodynamics, mainly in the modeling of associative memory. This paper presents a complexity theory for continuous phase space dynamical systems with discrete or continuous time update, which evolve to attractors. In our framework we associate complexity classes with different types of attractors. Fixed points belong to the class BPPd, while chaotic attractors a...

The nonhyperbolic structure of synchronization dynamics is investigated in this work. We argue analytically and confirm numerically that the chaotic dynamics on the synchronization manifold exhibits an unstable dimension variability, which is an extreme form of nonhyperbolicity. We analyze the dynamics in the synchronization manifold and in its transversal direction, where a tonguelike structur...

We present a novel modeling approach for reconstruction of the global behavior of coupled chaotic systems from bivariate time series. We analyze two coupled chaotic oscillators, which are able to phase synchronize due to coupling. It is shown that our technique enables the recovery of the synchronization diagram from only three data sets. In particular, this allows the estimate of the relative ...

Power electronic is rich in nonlinear dynamic. Its operation is characterized by cyclic switching of circuit topologies, which gives rise to different nonlinear behaviors. Among power electronic converters, DC/DC buck converters have been studied with constant-frequency pulse-width modulation feedback control in continuous conduction mode. Time-domain and phase-space plots for several periodic ...