In this paper, the investigation is first motivated by showing two examples of simple regular symmetrical graphs, which have the same structural parameters, such as average distance, degree distribution, and node betweenness centrality, but have very different synchronizabilities. For a given network with identical node dynamics, it is further shown that two key factors influencing the network synchronizability are the network inner linking matrix and the eigenvalues of the network topological matrix. Several examples are then provided to show that adding new edges to a network can either increase or decrease the network synchronizability. In searching for conditions under which the network synchronizability may be increased by adding edges, it is found that for networks with disconnected complementary graphs, adding edges never decreases their synchronizability. Moreover, it is found that an unbounded synchronized region is always easier to analyze than a bounded synchronized region. Therefore to effectively enhance the network synchronizability, a design method is finally presented for the inner linking matrix of rank 1 such that the resultant network has an unbounded synchronized region, for the case where the synchronous state is an equilibrium point of the network.
No abstract is provided for this article.
This paper reviews and meanwhile introduces several new switching piecewise-linear controllers, which can generate multi-scroll chaotic attractors from some simple two-dimensional (2D) or three-dimensional (3D) linear autonomous systems. The mechanism for generating multi-scroll chaotic attractors via switching control is discussed.
No abstract is provided for this article.
In this paper it is proved that the backward shift operator on the Köthe sequence space admits a pair which is not asymptotic, if and only if it has an uncountable invariant -scrambled set for some > 0, if and only if it has an -scrambled subspace for some > 0, if and only if it has an invariant scrambled linear manifold. An analogous result for distributional chaos of type 2 is also obtained.
In this paper, we propose and study a general array model of coupled delayed neural networks with hybrid coupling, which is composed of constant coupling, discrete-delay coupling, and distributed-delay coupling. Based on the Lyapunov functional method and Kronecker product properties, several sufficient conditions are established to ensure global exponential synchronization based on the design of the coupling matrices, the inner linking matrices, and/or some free matrices representing the relationships between the system matrices. The conditions are expressed within the framework of linear matrix inequalities, which can be easily computed by the interior-point method. In addition, a typical chaotic cellular neural network is used as the node in the array to illustrate the effectiveness and advantages of the theoretical results.
In this chapter, we have examined the relationship between SMC and chaos. We have shown that digitising SMC in practice may cause some micro-level 'chaotic' behaviours, such as different periodic behaviours due to different initial conditions, an aspect of sensitivity to initial conditions. An interesting correlation between the periodic trajectories and their symbolic sequences has been explored. We have also discussed two SMC-based chaos control methods: one is the TDFC control and the other is a generalised OGY method. Their effectiveness has also been verified by computer simulations.
Message from the Program ChairsIt is our great pleasure to welcome you to join the second International Symposium on Computer, Consumer and Control.(IS3C 2014).This conference offers a very good opportunity for scientists, engineers, and practitioners to present the latest research results, ideas, developments, and applications, as well as to facilitate interactions between scholars and practitioners.We received papers from 20 countries around the world.These submissions have been clustered into eight tracks across the entire spectrum of advanced multimedia, computer, telecommunication, semiconductor, consumer electronics, renewable energy, systems and control, and digital signal processing.In keeping with the theme of the conference, we have also organized up to 33 special sessions.Again, we would like to express our deep thanks to all organizing committee members and track chairs for their effort in putting the program together.Finally, we hope you enjoy the conference and have a wonderful time in Taichung city.
A new approach to real-time secure speech communication is proposed based on the inversion theory of nonlinear discrete-time dynamical systems. The proposed approach uses an observable minimal-phase nonlinear discrete-time dynamical system, particularly with chaotic zero-dynamics, as the drive system to generate encrypted speech signals for transmission. The receiver is the minimal left-inverse system of the drive system. The receiver decrypts the received signal and recovers the original message in real-time. The effectiveness of the proposed approach and design is demonstrated via examples for secure speech signal transmission. Performance evaluation of the designed secure communication system is discussed. Both analysis and simulation show that the new scheme is relatively secure but simple, accurate and robust, suitable for some civil and commercial voice-communication applications.
Distributed tracking problem for complex dynamical networks with Lipschitz-type nonlinear dynamics under the framework of cyber-physical systems is investigated. Due to practical limitations in some circumstances, the states of the agents are usually unavailable for controllers, so distributed observers used to reconstruct the states of nodes are needed, which will be first designed. Differing from other studies of observer-based control problems for complex dynamical networks and multi-agent systems, it considers here the scenario that the communication channels for controllers and observers may be subjected to frequently malicious attacks, which will destroy the communication links and result in disconnected topologies of the communication networks. It is assumed that the impacts of attacks on different communication networks are different and independent. New security control strategies are proposed and analyzed. An algorithm to properly select the feedback gain matrices and coupling strengths is presented. By utilizing the Lyapunov stability theory, sufficient conditions are derived to check whether final consensus tracking can be achieved against such attacks. Finally, a simulation example comparing the security control and uncontrolled scenarios is demonstrated to show the effectiveness of the theoretical results.
Combining Takagi–Sugeno (TS) fuzzy model and impulsive control, a new approach to control chaotic systems, namely fuzzy impulsive control, is proposed in this paper. The rigorous stability analysis of the proposed method is given. The effectiveness of the approach is tested on Chua’s circuit, Chen’s system and Rössler’s system.
Many social, technological, biological and economical systems are best described by weighted networks, whose properties and dynamics depend not only on their structures but also on the connection weights among their nodes. However, most existing research work on complex network models are concentrated on network structures, with connection weights among their nodes being either 1 or 0. In this paper, we propose a new weighted evolving network model. Numerical simulations indicate that this network model yields three power-law distributions for the node degrees, connection weights and node strengths, respectively. Particularly, some other properties of the distributions, such as the droop-head and heavy-tail effects, can also be reflected by this model.
