Necessary Condition for Observer-Based Chaos Synchronization

Observer-Based Synchronization for a Class of Unknown Chaos Systems with Adaptive Fuzzy-Neural Network

This investigation applies the adaptive fuzzy-neural observer (AFNO) to synchronize a class of unknown chaotic systems via scalar transmitting signal only. The proposed method can be used in synchronization if nonlinear chaotic systems can be transformed into the canonical form of Lur'e system type by the differential geometric method. In this approach, the adaptive fuzzy-neural network (FNN) i...

A Necessary Condition for Weyl-Heisenberg Frames

Adaptive observer-Based Synchronization for Communication

In recent years a growing interest was observed in the problem of synchronizing chaotic systems [Afraimovich et al., 1987; Pecora & Carroll, 1990; Cuomo et al., 1993; Blekhman et al., 1995; Nijmeijer & Mareels, 1997; Pogromsky & Nijmeijer, 1999]. It was motivated not only by scientific interest in the problem, but also by practical applications in different fields [Blekhman, 1988; Lindsey, 1972...

Chaos Synchronization Based on Unknown Input Proportional Multiple-Integral Fuzzy Observer

and Applied Analysis 3 2. Unknown Input TS Fuzzy Model Structure The TS fuzzy model subject to unknown input is considered as follow:

Chaotic observer-based synchronization under information constraints.

Limitations of observer-based synchronization systems under information constraints (limited information capacity of the coupling channel) are evaluated. We give theoretical analysis for multidimensional drive-response systems represented in the Lurie form (linear part plus nonlinearity depending only on measurable outputs). It is shown that the upper bound of the limit synchronization error (L...