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Lili Zhang - One of the best experts on this subject based on the ideXlab platform.

  • Matrix projective synchronization for time-varying disturbed networks with uncertain nonlinear structures and different dimensional nodes
    Neurocomputing, 2018
    Co-Authors: Lili Zhang, Yinhe Wang, Youfa Lei, Xuesong Chen
    Abstract:

    Abstract This paper investigates the Matrix projective synchronization (MPS) problem for time-varying disturbed complex dynamical networks (CDNs) with uncertain nonlinear structures and different dimensional nodes. In order to well describe the practical networks, the unavoidable unknown nonlinear structure and the inevitable uncertain disturbance of each node are considered into our network model, which is different from the previous works. Besides, it is worth pointing out that the outer coupling Configuration Matrix, which represents the coupling strength and the topological structure, is not restricted by the dissipatively coupled condition in this paper. The definition of MPS is also introduced for the networks with different dimensional nodes. Moreover, several MPS schemes are respectively put forward for our network model according to the norm bound of the uncertain nonlinear structures and disturbances being unknown or not. Finally, two proper examples associated with numerical simulations are given to verify the effectiveness of our theoretical results.

  • Synchronization for time-varying complex dynamical networks with different-dimensional nodes and non-dissipative coupling
    Communications in Nonlinear Science and Numerical Simulation, 2015
    Co-Authors: Lili Zhang, Yinhe Wang, Qingyun Wang
    Abstract:

    Abstract This paper investigates synchronization for time-varying complex dynamical networks with different-dimensional nodes via decentralized control. The outer coupling Configuration Matrix (OCCM) in our network model, which represents the coupling strength and the topological structure, can be time-varying, non-dissipatively coupled, asymmetric and uncertain. In addition, the nonlinearly coupled inner state functions are admissible in the network model. The paper mainly focuses on the synthesis of decentralized controllers in two cases for uncertain coupling coefficients in OCCM, respectively. Firstly, the decentralized nonlinear state feedback controllers are synthesised based on the known coupling coefficients common bound. The proposed controllers can guarantee exponential synchronization of the networks. Then, an adaptive mechanism with only one parameter being adjusted online is introduced to synthesize the decentralized adaptive controllers according to the unknown coupling coefficients common bound so that the network realizes asymptotic synchronization. Finally, a numerical example is given to test the effectiveness of the theoretical results.

  • Delay-dependent synchronization for non-diffusively coupled time-varying complex dynamical networks
    Applied Mathematics and Computation, 2015
    Co-Authors: Lili Zhang, Yinhe Wang, Yuanyuan Huang, Xuesong Chen
    Abstract:

    This paper investigates the delay-dependent synchronization schemes for the non-diffusively coupled time-varying complex dynamical networks. The outer coupling Configuration Matrix in our network model may be non-diffusive, time-varying, uncertain, asymmetric and irreducible. Different time-varying coupling delays for different nodes are also put into consideration in this paper. Besides, the nodes may have different state dimensions. Furthermore, only the common bound of the outer coupling coefficients (CBOCC) is used to design the synchronization controllers. If the CBOCC is known, our delay-dependent synchronization scheme can guarantee the network achieving exponential synchronization. And when the CBOCC is uncertain, the adaptive synchronization scheme, where only one adaptive law is needed, is proposed to guarantee the network realizing asymptotic synchronization. Simulation examples are provided to verify the effectiveness and feasibility of our theoretical results.

  • Asymptotic stabilization for a class of time-varying complex dynamical networks
    Proceedings of the 33rd Chinese Control Conference, 2014
    Co-Authors: Lili Zhang, Yinhe Wang, Qinruo Wang
    Abstract:

    Asymptotic stabilization problem is investigated for a class of complex dynamical networks with the time-varying coupling Configuration Matrix and different nonlinear nodes. Firstly, a general time-varying complex dynamical network model with different nonlinear nodes and nonlinearly coupled functions is proposed. The time-varying outer coupling Matrix in this paper is only needed to be dissipatively coupled, no matter its elements are negative or not and no matter it is symmetric or not. The outer coupling coefficients of the networks do not need to be known or continuous but need to be bounded. Based on Lyapunov stability theory and Barbalat's lemma and under the assumption that the bound of the time-varying coupling coefficients is uncertain, decentralized dynamical compensation controllers and the adaptive law are synthesized to stabilize the network asymptotically. When the bound of the time-varying coupling coefficients is known, the stabilization theorem is also proposed. Finally, a numerical example is presented to verify the effectiveness of our theoretical results.

Yinhe Wang - One of the best experts on this subject based on the ideXlab platform.

  • Matrix projective synchronization for time-varying disturbed networks with uncertain nonlinear structures and different dimensional nodes
    Neurocomputing, 2018
    Co-Authors: Lili Zhang, Yinhe Wang, Youfa Lei, Xuesong Chen
    Abstract:

    Abstract This paper investigates the Matrix projective synchronization (MPS) problem for time-varying disturbed complex dynamical networks (CDNs) with uncertain nonlinear structures and different dimensional nodes. In order to well describe the practical networks, the unavoidable unknown nonlinear structure and the inevitable uncertain disturbance of each node are considered into our network model, which is different from the previous works. Besides, it is worth pointing out that the outer coupling Configuration Matrix, which represents the coupling strength and the topological structure, is not restricted by the dissipatively coupled condition in this paper. The definition of MPS is also introduced for the networks with different dimensional nodes. Moreover, several MPS schemes are respectively put forward for our network model according to the norm bound of the uncertain nonlinear structures and disturbances being unknown or not. Finally, two proper examples associated with numerical simulations are given to verify the effectiveness of our theoretical results.

  • Synchronization for time-varying complex dynamical networks with different-dimensional nodes and non-dissipative coupling
    Communications in Nonlinear Science and Numerical Simulation, 2015
    Co-Authors: Lili Zhang, Yinhe Wang, Qingyun Wang
    Abstract:

    Abstract This paper investigates synchronization for time-varying complex dynamical networks with different-dimensional nodes via decentralized control. The outer coupling Configuration Matrix (OCCM) in our network model, which represents the coupling strength and the topological structure, can be time-varying, non-dissipatively coupled, asymmetric and uncertain. In addition, the nonlinearly coupled inner state functions are admissible in the network model. The paper mainly focuses on the synthesis of decentralized controllers in two cases for uncertain coupling coefficients in OCCM, respectively. Firstly, the decentralized nonlinear state feedback controllers are synthesised based on the known coupling coefficients common bound. The proposed controllers can guarantee exponential synchronization of the networks. Then, an adaptive mechanism with only one parameter being adjusted online is introduced to synthesize the decentralized adaptive controllers according to the unknown coupling coefficients common bound so that the network realizes asymptotic synchronization. Finally, a numerical example is given to test the effectiveness of the theoretical results.

  • Delay-dependent synchronization for non-diffusively coupled time-varying complex dynamical networks
    Applied Mathematics and Computation, 2015
    Co-Authors: Lili Zhang, Yinhe Wang, Yuanyuan Huang, Xuesong Chen
    Abstract:

    This paper investigates the delay-dependent synchronization schemes for the non-diffusively coupled time-varying complex dynamical networks. The outer coupling Configuration Matrix in our network model may be non-diffusive, time-varying, uncertain, asymmetric and irreducible. Different time-varying coupling delays for different nodes are also put into consideration in this paper. Besides, the nodes may have different state dimensions. Furthermore, only the common bound of the outer coupling coefficients (CBOCC) is used to design the synchronization controllers. If the CBOCC is known, our delay-dependent synchronization scheme can guarantee the network achieving exponential synchronization. And when the CBOCC is uncertain, the adaptive synchronization scheme, where only one adaptive law is needed, is proposed to guarantee the network realizing asymptotic synchronization. Simulation examples are provided to verify the effectiveness and feasibility of our theoretical results.

  • Asymptotic stabilization for a class of time-varying complex dynamical networks
    Proceedings of the 33rd Chinese Control Conference, 2014
    Co-Authors: Lili Zhang, Yinhe Wang, Qinruo Wang
    Abstract:

    Asymptotic stabilization problem is investigated for a class of complex dynamical networks with the time-varying coupling Configuration Matrix and different nonlinear nodes. Firstly, a general time-varying complex dynamical network model with different nonlinear nodes and nonlinearly coupled functions is proposed. The time-varying outer coupling Matrix in this paper is only needed to be dissipatively coupled, no matter its elements are negative or not and no matter it is symmetric or not. The outer coupling coefficients of the networks do not need to be known or continuous but need to be bounded. Based on Lyapunov stability theory and Barbalat's lemma and under the assumption that the bound of the time-varying coupling coefficients is uncertain, decentralized dynamical compensation controllers and the adaptive law are synthesized to stabilize the network asymptotically. When the bound of the time-varying coupling coefficients is known, the stabilization theorem is also proposed. Finally, a numerical example is presented to verify the effectiveness of our theoretical results.

Hongxing Yao - One of the best experts on this subject based on the ideXlab platform.

  • Cluster projective synchronization of complex networks with nonidentical dynamical nodes
    Chinese Physics B, 2012
    Co-Authors: Hongxing Yao, Shuguo Wang
    Abstract:

    We investigate a new cluster projective synchronization (CPS) scheme in time-varying delay coupled complex dynamical networks with nonidentical nodes. Based on the community structure of the networks, the controllers are designed differently for the nodes in one community, which have direct connections to the nodes in the other communities and the nodes without direct connections to the nodes in the other communities. Some sufficient criteria are derived to ensure the nodes in the same group projectively synchronize and there is also projective synchronization between nodes in different groups. Particularly, the weight Configuration Matrix is not assumed to be symmetric or irreducible. The numerical simulations are performed to verify the effectiveness of the theoretical results.

  • Cluster Synchronization of Time-Varying Delays Coupled Complex Networks with Nonidentical Dynamical Nodes
    Journal of Applied Mathematics, 2012
    Co-Authors: Shuguo Wang, Hongxing Yao, Mingping Sun
    Abstract:

    This paper investigates a new cluster synchronization scheme in the nonlinear coupled complex dynamical networks with nonidentical nodes. The controllers are designed based on the community structure of the networks; some sufficient criteria are derived to ensure cluster synchronization of the network model. Particularly, the weight Configuration Matrix is not assumed to be symmetric, irreducible. The numerical simulations are performed to verify the effectiveness of the theoretical results.

  • The Effect of Control Strength on Lag Synchronization of Nonlinear Coupled Complex Networks
    Abstract and Applied Analysis, 2012
    Co-Authors: Shuguo Wang, Hongxing Yao
    Abstract:

    This paper mainly investigates the lag synchronization of nonlinear coupled complex networks using methods that are based on pinning control, where the weight Configuration Matrix is not necessarily symmetric or irreducible. We change the control strength into a parameter concerning timet, by using the Lyapunov direct method, some sufficient conditions of lag synchronization are obtained. To validate the proposed method, numerical simulation examples are provided to verify the correctness and effectiveness of the proposed scheme.

  • Cluster Anti-Synchronization of Complex Networks with Nonidentical Dynamical Nodes
    Journal of Applied Mathematics, 2012
    Co-Authors: Shuguo Wang, Hongxing Yao
    Abstract:

    This paper investigates a new cluster antisynchronization scheme in the time-varying delays coupled complex dynamical networks with nonidentical nodes. Based on the community structure of the networks, the controllers are designed differently between the nodes in one community that have direct connections to the nodes in other communities and the nodes without direct connections with the nodes in other communities strategy; some sufficient criteria are derived to ensure cluster anti-synchronization of the network model. Particularly, the weight Configuration Matrix is not assumed to be irreducible. The numerical simulations are performed to verify the effectiveness of the theoretical results.

  • Pinning synchronization of complex networks with time-varying topological structures and linearly delayed coupling
    2011 International Conference on System science Engineering design and Manufacturing informatization, 2011
    Co-Authors: Shuguo Wang, Hongxing Yao
    Abstract:

    In this paper, the synchronization of time-varying complex network with is investigated, we consider synchronization in time-varying coupling networks, in which the weights of links are time varying. The weight Configuration Matrix is not assumed to be symmetric, irreducible or dissipative. Based on the Lyapunov stability theory, some sufficient conditions for the synchronization are derived by constructing an effective control scheme. To validate the proposed method, and numerical simulation examples are provided to verify the correctness and effectiveness of the proposed scheme.

Xuesong Chen - One of the best experts on this subject based on the ideXlab platform.

  • Matrix projective synchronization for time-varying disturbed networks with uncertain nonlinear structures and different dimensional nodes
    Neurocomputing, 2018
    Co-Authors: Lili Zhang, Yinhe Wang, Youfa Lei, Xuesong Chen
    Abstract:

    Abstract This paper investigates the Matrix projective synchronization (MPS) problem for time-varying disturbed complex dynamical networks (CDNs) with uncertain nonlinear structures and different dimensional nodes. In order to well describe the practical networks, the unavoidable unknown nonlinear structure and the inevitable uncertain disturbance of each node are considered into our network model, which is different from the previous works. Besides, it is worth pointing out that the outer coupling Configuration Matrix, which represents the coupling strength and the topological structure, is not restricted by the dissipatively coupled condition in this paper. The definition of MPS is also introduced for the networks with different dimensional nodes. Moreover, several MPS schemes are respectively put forward for our network model according to the norm bound of the uncertain nonlinear structures and disturbances being unknown or not. Finally, two proper examples associated with numerical simulations are given to verify the effectiveness of our theoretical results.

  • Delay-dependent synchronization for non-diffusively coupled time-varying complex dynamical networks
    Applied Mathematics and Computation, 2015
    Co-Authors: Lili Zhang, Yinhe Wang, Yuanyuan Huang, Xuesong Chen
    Abstract:

    This paper investigates the delay-dependent synchronization schemes for the non-diffusively coupled time-varying complex dynamical networks. The outer coupling Configuration Matrix in our network model may be non-diffusive, time-varying, uncertain, asymmetric and irreducible. Different time-varying coupling delays for different nodes are also put into consideration in this paper. Besides, the nodes may have different state dimensions. Furthermore, only the common bound of the outer coupling coefficients (CBOCC) is used to design the synchronization controllers. If the CBOCC is known, our delay-dependent synchronization scheme can guarantee the network achieving exponential synchronization. And when the CBOCC is uncertain, the adaptive synchronization scheme, where only one adaptive law is needed, is proposed to guarantee the network realizing asymptotic synchronization. Simulation examples are provided to verify the effectiveness and feasibility of our theoretical results.

Sun You-xian - One of the best experts on this subject based on the ideXlab platform.

  • Synchronization control of a time-varying complex dynamical network
    Control theory & applications, 2008
    Co-Authors: Sun You-xian
    Abstract:

    Synchronization control of a time-varying complex dynamical network model is investigated.We assume that the synchronous trajectories,entries of the coupling Configuration Matrix and inner-coupling Matrix of the model are all bounded.When those bounds are a priori known or uncertain,a linear feedback scheme and an adaptive scheme are applied to globally synchronize the network respectively.By constructing the adequate Lyapunov function,we can always let a dynamical network,no matter how it is initialized,achieve asymptotic synchronization under the corresponding control scheme.In particular,the proposed adaptive control scheme shows a high robustness to the uncertainties in topological structure of network,coupling strength between nodes,time delays,etc.Numerical simulations validate the effectiveness of the proposed approach.