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

Small networks of chaotic units which are coupled by their time-delayed variables are investigated. In spite of the time delay, the units can synchronize isochronally, i.e., without time shift. Moreover, networks cannot only synchronize completely, but can also split into different synchronized sublattices. These synchronization patterns are stable attractors of the network dynamics. Different ...

For the time-delay feedback control of chaos synchronization problem, an idea of Lyapunov functional with time-delay decomposition is presented. Some delay-dependent synchronization criteria are formulated in the form of matrix inequalities. The controller gain with maximum allowed timedelay can be achieved by solving a set of linear matrix inequalities (LMIs). A simulation example is given to ...

This paper investigates the global chaos synchronization of identical Qi four-wing chaotic systems (Qi et al., 2008), identical Liu four-wing chaotic systems (Liu, 2009) and identical Wang chaotic systems (Wang et al., 2009). The stability results derived in this paper for the complete synchronization of the three pairs of identical four-wing chaotic systems are established using Lyapunov stabi...

This paper deals with the problem of synchronization of a class of continuous-time chaotic systems using the driveresponse concept. An adaptive observer-based response system is designed to synchronize with a given chaotic drive system whose dynamical model is subjected to unknown parameters. Using the Lyapunov stability theory an adaptation law is derived to estimate the unknown parameters. We...

Based on Lyapunov stabilization theory, this paper proposes a new generic criterion of global chaos synchronization between two coupled chaotic systems from a unidirectional linear error feedback coupling approach. The criterion is successfully applied to some typical chaotic systems with different types of nonlinearity, such as the classic Chua’s circuit, the modified Chua’s circuit with a sin...

Chaos synchronization is often characterized by the existence of a continuous function between the states of the components. However, in coupled systems without inherent symmetries, the synchronization set can be extremely complicated. We describe and illustrate three typical complications that can arise, and we discuss how existing methods for detecting synchronization will be hampered by the ...

We investigate the mechanism of pinching synchronization (complete synchronization for a fraction of system) for cellular automata, considered as prototypes of discrete systems with unpredictable behaviour (finitedistance chaoticity). The pinching synchronization threshold is related to this chaoticity. Some control problems may be reformulated as targeted synchronization. In these problems one...

– In this paper an approach to achieve synchronization of hyperchaotic circuits using a proper onedimensional signal is presented. The robustness of the proposed synchronization technique to parameter mismatch and to the presence of channel noise is investigated. The approach is effectively applied to hyperchaotic circuits constituted by two bidirectionally coupled Chua's oscillators. Key-Words...

In this study, synchronization phenomena observed from coupled van der Pol oscillators involving periodically forced capacitors are investigated. Firstly, we confirm effects of parametric excitation on synchronization. Next, we investigate behavior of parametric excitation in coupled system. By carrying out computer calculations for two to five subcircuits cases, various interesting synchroniza...