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
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
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 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.
