This paper presents a new robust adaptive synchronization method for a class of uncertain dynamical complex networks with network failures and coupling time-varying delays. Adaptive schemes are proposed to adjust cont...This paper presents a new robust adaptive synchronization method for a class of uncertain dynamical complex networks with network failures and coupling time-varying delays. Adaptive schemes are proposed to adjust controller parameters for the faulty network compensations, as well as to estimate the upper and lower bounds of delayed state errors and perturbations to compensate the effects of delay and perturbation on-line without assuming symmetry or irreducibility of networks. It is shown that, through Lyapunov stability theory, distributed adaptive controllers con- structed by the adaptive schemes are successful in ensuring the achievement of asymptotic synchronization of networks in the present of faulty and delayed networks, and perturbation inputs. A Chua's circuit network example is finally given to show the effectiveness of the proposed synchronization criteria.展开更多
In this paper, the distributed synchronization of stochastic coupled neural networks with time-varying delay is concerned via randomly occurring control. We use two Bernoulli stochastic variables to describe the occur...In this paper, the distributed synchronization of stochastic coupled neural networks with time-varying delay is concerned via randomly occurring control. We use two Bernoulli stochastic variables to describe the occurrence of distributed adaptive control and updating law according to certain probabilities. The distributed adaptive control and updating law for each vertex in the network depend on the state information on each vertex’s neighborhood. Based on Lyapunov stability theory, It</span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">ô</span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;"> differential equations, etc., by constructing the appropriate Lyapunov functional, we study and obtain sufficient conditions for the distributed synchronization of such networks in mean square.展开更多
A new approach of adaptive distributed control is proposed for a class of networks with unknown time-varying coupling weights. The proposed approach ensures that the complex dynamical networks achieve asymptotical syn...A new approach of adaptive distributed control is proposed for a class of networks with unknown time-varying coupling weights. The proposed approach ensures that the complex dynamical networks achieve asymptotical synchronization and all the closed-loop signals are bounded. Furthermore, the coupling matrix is not assumed to be symmetric or irreducible and asymptotical synchronization can be achieved even when the graph of network is not connected. Finally, a simulation example shows the feasibility and effectiveness of the approach.展开更多
In this paper,the problem of combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and external interferences is studied.Firstly,the definition of combin...In this paper,the problem of combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and external interferences is studied.Firstly,the definition of combination projection synchronization of fractional-order complex dynamic networks is given,and the synchronization problem of the drive-response systems is transformed into the stability problem of the error system.In addition,time-varying delays and disturbances are taken into consideration to make the network synchronization more practical and universal.Then,based on Lyapunov stability theory and fractional inequality theory,the adaptive controller is formulated to make the drive and response systems synchronization by the scaling factors.The controller is easier to realize because there is no time-delay term in the controller.At last,the corresponding simulation examples demonstrate the effectiveness of the proposed scheme.展开更多
基金Project supported by the Funds for Creative Research Groups of China(Grant No.60821063)the National Basic Research Program of China(Grant No.2009CB320604)+2 种基金the National Natural Science Foundation of China(Grant No.60974043)the 111 Project(Grant No.B08015)the Science and Technology Research Project of the Educational Department of Liaoning Province of China(Grant No.2008S156)
文摘This paper presents a new robust adaptive synchronization method for a class of uncertain dynamical complex networks with network failures and coupling time-varying delays. Adaptive schemes are proposed to adjust controller parameters for the faulty network compensations, as well as to estimate the upper and lower bounds of delayed state errors and perturbations to compensate the effects of delay and perturbation on-line without assuming symmetry or irreducibility of networks. It is shown that, through Lyapunov stability theory, distributed adaptive controllers con- structed by the adaptive schemes are successful in ensuring the achievement of asymptotic synchronization of networks in the present of faulty and delayed networks, and perturbation inputs. A Chua's circuit network example is finally given to show the effectiveness of the proposed synchronization criteria.
文摘In this paper, the distributed synchronization of stochastic coupled neural networks with time-varying delay is concerned via randomly occurring control. We use two Bernoulli stochastic variables to describe the occurrence of distributed adaptive control and updating law according to certain probabilities. The distributed adaptive control and updating law for each vertex in the network depend on the state information on each vertex’s neighborhood. Based on Lyapunov stability theory, It</span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">ô</span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;"> differential equations, etc., by constructing the appropriate Lyapunov functional, we study and obtain sufficient conditions for the distributed synchronization of such networks in mean square.
基金supported by Ph.D.Programs Foundation of Ministry of Education of China(Nos.JY0300137002 and20130203110021)Research Funds for the Central Universities(No.JB142001-6)
文摘A new approach of adaptive distributed control is proposed for a class of networks with unknown time-varying coupling weights. The proposed approach ensures that the complex dynamical networks achieve asymptotical synchronization and all the closed-loop signals are bounded. Furthermore, the coupling matrix is not assumed to be symmetric or irreducible and asymptotical synchronization can be achieved even when the graph of network is not connected. Finally, a simulation example shows the feasibility and effectiveness of the approach.
基金supported in part by the National Natural Science Foundation of China(Grant no.61775198,62076222,61903342)Henan Province Science and technology research project(Grant no.222102210059,222102210266,212102310455)。
文摘In this paper,the problem of combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and external interferences is studied.Firstly,the definition of combination projection synchronization of fractional-order complex dynamic networks is given,and the synchronization problem of the drive-response systems is transformed into the stability problem of the error system.In addition,time-varying delays and disturbances are taken into consideration to make the network synchronization more practical and universal.Then,based on Lyapunov stability theory and fractional inequality theory,the adaptive controller is formulated to make the drive and response systems synchronization by the scaling factors.The controller is easier to realize because there is no time-delay term in the controller.At last,the corresponding simulation examples demonstrate the effectiveness of the proposed scheme.