Yuhua Xu

Adaptive synchronization for stochastic T–S fuzzy neural networks with time-delay and Markovian jumping parameters

Abstract This paper concerned with the adaptive synchronization for Takagi–Sugeno (T–S) fuzzy neural networks with stochastic noises and Markovian jumping parameters. By using a new nonnegative function and an M-matrix method, several sufficient conditions are derived to ensure the adaptive synchronization for stochastic T–S fuzzy neural networks. Moreover, the adaptive controller and parameter update laws are designed via adaptive feedback control methods. Finally, a numerical example is given to illustrate the effectiveness of proposed theories.

Finite-time synchronization of the complex dynamical network with non-derivative and derivative coupling

This paper is concerned with finite-time synchronization for a class of the complex dynamical network with non-derivative and derivative coupling. Different from the existing related results, a new finite-time synchronization theory is proposed to investigate finite-time synchronization of the complex dynamical network with non-derivative and derivative coupling, several new and effective criteria are derived to realize synchronization in finite time of the addressed complex dynamical network with non-derivative and derivative coupling. Finally, some numerical examples are provided to verify the theoretical results established in this paper. A new finite-time synchronization theroy is proposed.Several effective criteria are derived to realize finite-time synchronization of the complex dynamical network.Numerical examples are provided to verify the theoretical results established.

Topology identification and adaptive synchronization of uncertain complex networks with non-derivative and derivative coupling

This paper proposes an approach to identify the topological structure and unknown parameters for uncertain general complex networks with non-derivative and derivative coupling. By designing effective adaptive controller, the unknown network topological structure and system parameters of uncertain general complex dynamical networks are identified simultaneously in the process of synchronization. Several useful criteria for synchronization are given. Finally, numerical simulations are presented to verify the effectiveness of the theoretical results obtained in this paper.

Adaptive synchronization of uncertain chaotic systems with adaptive scaling function

Abstract The problem of adaptive synchronization for the uncertain chaotic systems with adaptive scaling function is investigated in this paper. In comparison to those of the existing scaling function synchronization, such as the presetting scaling function, the aim of this paper is focused not only on the scaling function but also on the identification of parameters of the chaotic system. Finally, to illustrate the implementation of the proposed method, some numerical simulations are given.

Chaos Synchronization of Financial Chaotic System with External Perturbation

This paper investigates the problem of two kinds of function projective synchronization of financial chaotic system with definite integration scaling function, which are not fully considered in the existing research. Different from the previous methods, in this paper, the following two questions are investigated: (1) two kinds of the definite integration scaling function projective synchronization are given; (2) the upper and lower limit of the definite integral scaling function are the bound dynamical systems. Finally, illustrative example is provided to show the effectiveness of this method.

Finite-Time Bounded Synchronization of the Growing Complex Network with Nondelayed and Delayed Coupling

The objective of this paper is to discuss finite-time bounded synchronization for a class of the growing complex network with nondelayed and delayed coupling. In order to realize finite-time synchronization of complex networks, a new finite-time stable theory is proposed; effective criteria are developed to realize synchronization of the growing complex dynamical network in finite time. Moreover, the error of two growing networks is bounded simultaneously in the process of finite-time synchronization. Finally, some numerical examples are provided to verify the theoretical results established in this paper.

A wake interaction model for the coordinated control of Wind Farms

In all the processes of Wind Energy (WE) utilization, the Wind Power (WP) assessment is critical stage for all the Wind Farms (WFs). This paper is focused on the WE systems in Luxembourg. It describes the overview of the wind resources in all the WFs and presents an Unified Cooperation Wake Model (UCWM) and Coordination and Optimization Control (CnOC) for WFs. Based on WP assessment of WFs, the statistical method is used to model the distribution of wind speed and Wind Direction (WD). Some simulation figures about the wind rose andWeibull distribution demonstrate the detailed description and assessment of WP. These assessments are expected to enhance the effectiveness of WP exploitation and utilization in WFs of Luxembourg.

Dynamic Evolution Analysis of Stock Price Fluctuation and Its Control

This paper studies a simple dynamical system of stock price fluctuation time series based on the rule of stock market. When the stock price fluctuation system is disturbed by external excitations, the system exhibits obviously chaotic phenomena, and its basic dynamic properties are analyzed. At the same time, a new fixed-time convergence theorem is proposed for achieving fixed-time control of stock price fluctuation system. Finally, the effectiveness of the method is verified by numerical simulation.

A class of Improved Wake Interaction Model for the coordinated control of wind farms

This paper is focused on the Wind Energy (WE) systems and Wind Farms (WFs) optimization in Luxembourg. It describes the overview of the wind resources in all the WFs and presents a class of Improved Wake Interaction Model (IWIM) for Coordination and Optimization Control (CnOC) of WFs. Based on Wind Power (WP) assessment of WFs, the statistical method is used to model the distribution of Wind Speed (WS) and Wind Direction (WD). Some simulation figures about the Wind Rose (WR) and WF optimization demonstrate the description and assessment of WP in detail. These assessments are expected to enhance the effectiveness of exploitation and utilization of WP in WFs of Luxembourg.

A class of fast fixed-time synchronization control for the delayed neural network

Abstract This paper deals with the synchronization control of a class of delayed neural networks using a fast fixed-time control theory. By employing Lyapunov stability theory, a novel sufficient criterion is derived such that two neural networks can be synchronized within a fixed-time. Compared with some existing results, the proposed controller can render two neural networks faster synchronized. A numerical example is given to demonstrate the effectiveness of the criterion.