This paper addresses the control problem of a class of complex dynamical networks with each node being a Lur＇e system whose nonlinearity satisfies a sector condition, by applying local feedback injections to a small ...This paper addresses the control problem of a class of complex dynamical networks with each node being a Lur＇e system whose nonlinearity satisfies a sector condition, by applying local feedback injections to a small fraction of the nodes. The pinning control problem is reformulated in the framework of the absolute stability theory. It is shown that the global stability of the controlled network can be reduced to the test of a set of linear matrix inequalities, which in turn guarantee the absolute stability of the corresponding Lur＇e systems whose dimensions are the same as that of a single node. A circle-type criterion in the frequency domain is further presented for checking the stability of the controlled network graphically. Finally, a network of Chua＇s oscillators is provided as a simulation example to illustrate the effectiveness of the theoretical results.展开更多
This paper is concerned with the robust Hoo synchronization problem for a class of complex dynamical networks by applying the observer-based control. The proposed feedback control scheme is developed to ensure the asy...This paper is concerned with the robust Hoo synchronization problem for a class of complex dynamical networks by applying the observer-based control. The proposed feedback control scheme is developed to ensure the asymptotic stability of the augmented system, to reconstruct the non-measurable state variables of each node and to improve the H∞ performance related to the synchronization error and observation error despite the external disturbance. Based on the Lyapunov stability theory, a synchronization criterion is obtained under which the controlled network can be robustly stabilized onto a desired state with a guaranteed H∞ performance. The controller and the observer gains can be given by the feasible solutions of a set of linear matrix inequalities （LMIs）. The effectiveness of the proposed control scheme is demonstrated by a numerical example through simulation.展开更多
We mainly investigate the robust networked H~ synchronization problem of nonidentical chaotic Lur＇e systems. In the design of the synchronization scheme, some network characteristics, such as nonuniform sampling, tra...We mainly investigate the robust networked H~ synchronization problem of nonidentical chaotic Lur＇e systems. In the design of the synchronization scheme, some network characteristics, such as nonuniform sampling, transmission- induced delays, and data packet dropouts, are considered. The parameters of master-slave chaotic Lur＇e systems often allow differences. The sufficient condition in terms of linear matrix inequality （LMI） is obtained to guarantee the dissipative synchronization of nonidentical chaotic Lur＇e systems in network environments. A numerical example is given to illustrate the validity of the proposed method.展开更多
A silver(I) complex [Ag(chlsp)2](CF3CO2),(chlsp=(E)-4-(4-chlorostyryl) pyridine),was synthesized by the reaction between AgCF3CO2 and chlsp in the anhydrous enthnol. The crystal structure of [Ag(chlsp)2](CF3CO2) was c...A silver(I) complex [Ag(chlsp)2](CF3CO2),(chlsp=(E)-4-(4-chlorostyryl) pyridine),was synthesized by the reaction between AgCF3CO2 and chlsp in the anhydrous enthnol. The crystal structure of [Ag(chlsp)2](CF3CO2) was characterized by elemental analysis,IR and determined by using single crystal X-ray diffraction. The result shows that the complex crystallize in triclinic system,with space group P1,a=0.109 7(2) nm,b=0.111 7(2) nm,c=0.117 2(2) nm,α=73.60(3)°,β=85.03(3)°,γ=81.82(3)°,V=0.136 2(4) nm3,Z=2. The moleculars are connected by Ag…Ag and Ag…Cl interactions,resulting in a three-dimensional network.展开更多
基金Project supported by the Aviation Science Funds (Grant No 20080751019)
文摘This paper addresses the control problem of a class of complex dynamical networks with each node being a Lur＇e system whose nonlinearity satisfies a sector condition, by applying local feedback injections to a small fraction of the nodes. The pinning control problem is reformulated in the framework of the absolute stability theory. It is shown that the global stability of the controlled network can be reduced to the test of a set of linear matrix inequalities, which in turn guarantee the absolute stability of the corresponding Lur＇e systems whose dimensions are the same as that of a single node. A circle-type criterion in the frequency domain is further presented for checking the stability of the controlled network graphically. Finally, a network of Chua＇s oscillators is provided as a simulation example to illustrate the effectiveness of the theoretical results.
基金Project supported by the National Natural Science Foundation of China (Grant No. 60274099)the National High Technology Research and Development Program of China (Grant No. 2004AA412030)
文摘This paper is concerned with the robust Hoo synchronization problem for a class of complex dynamical networks by applying the observer-based control. The proposed feedback control scheme is developed to ensure the asymptotic stability of the augmented system, to reconstruct the non-measurable state variables of each node and to improve the H∞ performance related to the synchronization error and observation error despite the external disturbance. Based on the Lyapunov stability theory, a synchronization criterion is obtained under which the controlled network can be robustly stabilized onto a desired state with a guaranteed H∞ performance. The controller and the observer gains can be given by the feasible solutions of a set of linear matrix inequalities （LMIs）. The effectiveness of the proposed control scheme is demonstrated by a numerical example through simulation.
基金Project supported by the Natural Science Foundation of China(Grant No.61203076)the Natural Science Foundation of Tianjin City,China(Grant No.13JC-QNJC03500)+1 种基金the Natural Science Foundation of Hebei Province,China(Grant No.F2012202100)the Excellent Young Technological Innovation Foun-dation in Hebei University of Technology,China(Grant No.2011005)
文摘We mainly investigate the robust networked H~ synchronization problem of nonidentical chaotic Lur＇e systems. In the design of the synchronization scheme, some network characteristics, such as nonuniform sampling, transmission- induced delays, and data packet dropouts, are considered. The parameters of master-slave chaotic Lur＇e systems often allow differences. The sufficient condition in terms of linear matrix inequality （LMI） is obtained to guarantee the dissipative synchronization of nonidentical chaotic Lur＇e systems in network environments. A numerical example is given to illustrate the validity of the proposed method.
文摘A silver(I) complex [Ag(chlsp)2](CF3CO2),(chlsp=(E)-4-(4-chlorostyryl) pyridine),was synthesized by the reaction between AgCF3CO2 and chlsp in the anhydrous enthnol. The crystal structure of [Ag(chlsp)2](CF3CO2) was characterized by elemental analysis,IR and determined by using single crystal X-ray diffraction. The result shows that the complex crystallize in triclinic system,with space group P1,a=0.109 7(2) nm,b=0.111 7(2) nm,c=0.117 2(2) nm,α=73.60(3)°,β=85.03(3)°,γ=81.82(3)°,V=0.136 2(4) nm3,Z=2. The moleculars are connected by Ag…Ag and Ag…Cl interactions,resulting in a three-dimensional network.
