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This paper deals with the exact reachability and controllability of probabilistic Boolean control networks (PBCNs). Exact controllability of PBCNs is the generalization of controllability of Boolean control networks (BCNs). Firstly, the maximum probability transfer matrix for PBCNs is constructed, and elements of the matrix denote the maximum probability with which one state transfer to another one...
In this paper, we investigate the synchronization problem for nonlinear coupled networks with time-delay. Nodes in the networks are assumed to be identical and node's dynamical behaviors are described by continuous-time equations. The networks topology is generalized to directed. By introducing an aperiodically intermittent control scheme combined with pinning strategy, some more general sufficient...
This paper investigates synchronization problem of two identical chaotic Lur'e systems with time delay using sampleddata control. Firstly, a novel piecewise Lyapunov-Krasovskii function (LKF), which considers fully useful information of the systems and their cross terms, is introduced. Secondly, a new synchronization criterion is developed in terms of linear matrix inequalities (LMIs) by discarding...
In this paper, we investigate a distributed control approach to addressing the task-space synchronized tracking problem of networked manipulators with uncertain kinematics and dynamics, where the dynamic leader is available to only a subset of followers and followers have only local interaction. Specifically, without task-space velocity measurements, a disturbance observer is introduced to identify...
This paper studies the flocking problem for flying robots in three-dimensional space. Each robot's attitude dynamics is considered. Motivated by consensus algorithms, we propose a distributed control law to achieve the flocking of flying robots. The convergence is proved by Lyapunov function and LaSalle's invariance principle. And the simulation results are given to demonstrate the effectiveness of...
In this paper, the problem of finite-time stabilization for a class of memristor-based neural networks with time-varying delays is investigated by using hybrid impulsive and nonlinear feedback controllers. Based on the theory of the differential equations with discontinuous right and Lyapunov function approach, several sufficient conditions are derived to guarantee the finite-time stabilization of...
This paper investigates the finite-time lag synchronization of the master-slave Chua's circuit systems with time delay via a variable-substitution and sinusoidal feedback controller. Employing the finite-time stability theory, some finite-time synchronization criteria for the variable-substitution and sinusoidal feedback controller are analytically proven and the corresponding synchronization time...
In this paper, the exponential stochastic synchronization of coupled neural networks via adaptive periodically intermittent control is further investigated. Based on the Lyapunov stability theory combined with the method of the adaptive control, periodically intermittent control and the properties of Weiner process, some simple criteria are derived for the exponential stochastic synchronization of...
This paper aims to analyze the synchronization phenomena in the system consisting of n identical metronomes on a hanging plate by using the describing function (DF) method, which deals with the driving torque as a discontinuous function of the angle and angular velocity of each metronome. Different from a previous study on the synchronization of the system with the first harmonic of the angle of each...
This paper provides a simple approach for group consensus of networked gyroscopes systems from the analytical dynamics point of view. By using the Udwadia-Kalaba fundamental equation theory, a novel robust group control law is presented and a sufficient condition which ensure achieving group consensus of non-identical gyroscopes networks is given in this paper. Finally, numerical simulations conducted...
This paper is mainly concerned with the issues of two kinds of synchronization for a class of hyperchaotic systems, i.e., complete synchronization, and coexistence of synchronization and anti-synchronization. Two adaptive control laws with suitable state feedbacks are designed to realize the complete synchronization, and coexistence of synchronization and anti-synchronization for such hyperchaotic...
The synchronization of multi-weighted complex dynamical networks with fixed and switching topologies is respectively investigated in this paper. Firstly, by putting to use Lyapunov functional approach and some inequality techniques, we establish a synchronization criterion for the multi-weighted complex dynamical network with fixed topology. In addition, the similar methods can be applied to get some...
The inner coupling faults may occur in a complex network so that the synchronization deteriorates even is destroyed in a complex network. How to synchronize a complex network under the circumstances? Here the inner coupling faults are transformed into the uncertainties of a network. Because the inner coupling faults occur among partial nodes, the inner coupling matrices of fault nodes are different...
This paper investigates the synchronization problem of delayed Markovian coupled neural networks with random coupling strengths and partial information on transition probabilities. In this coupled neural network model, each transition rate is only known partial information, and the coupling strengths are characterized by mutually independent random variables. By constructing a new augmented Lyapunov-Krasovskii...
We investigate the evolution of a delayed feedforward network model with plasticity. It is found that desynchronized and synchronized firing patterns both exist in the feedforward network (FFN) with different synaptic delays. Synaptic delays may play a significant role in bridging rate coding and time coding. Then we focus on the evolution of firing rate and synaptic weights in the FFN network based...
This paper addresses the master-slave synchronization problem of continuous time nonlinear switched systems. The idea is to use sampled-data of both the measurement output and switching signal to design feedback control laws with synchronizing controller gains. Firstly, based on input delay approach, the synchronization error system is modeled as a switched system with state delay and asynchronous...
For a class of chaotic systems with uncertain nonlinear time-delay functions and exogenous disturbance, the problem of observer-based adaptive synchronization is investigated. Based on Lyapunov-Krasovskii fucntional method, a delay-free observer is presented by using sliding mode control and adaptive control techniques. Two numerical simulations are given to show the effectiveness of the proposed...
In this paper, we propose an intermittent control scheme for neural oscillator systems with delay. The aperiodically intermittent controller is designed. Based on the linear matrix inequality, and Lyapunov theory, a sufficient condition is derived. The exponential synchronization of master-response neural oscillator systems can be ensured based on designed intermittent controller. Numerical simulation...
For the problem of the synchronization between two chaotic systems with external disturbances and nonlinear input, based on the Lyapunov's stability theory and combined the finite time principle with control technology existed, a sliding mode controller was designed by a new type of sliding surface and the corresponding control rule of sliding mode selectivity to achieve the synchronization control...
This paper is concerned with finite-time synchronization for two models of coupled Cohen-Grossberg neural networks with time-varying delays. In the first one, linearly coupled Cohen-Grossberg neural networks is considered. In the second one, nonlinearly coupled Cohen-Grossberg neural networks is discussed. Based on finite-time stability theory, some inequality techniques, and designed controllers,...
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