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Locally Exponential Stability of Discrete-time Complex Networks with Impulsive Input Saturation
Keyu Chen,Chuandong Li,Liangliang Li 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.4
In this paper, the problem of exponential stabilization for a class of discrete-time complex network withsaturated impulse input is investigated. Based on the inductive method, convex analysis, and auxiliary matrix,several Lyapunov-type stability criteria are derived for exponential stability of discrete-time complex network withimpulsive input saturation. Two examples are also presented to illustrate the effectiveness and the feasibility of theobtained results.
Li-zhi Liu,Yin-He Wang,Zi-lin Gao 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.9
In this paper, a general discrete-time complex dynamical network is regarded to be composed of the nodes subsystem and the links subsystem which are mutually coupled. Different from the existing researches on the stabilization and synchronization of nodes group, this paper mainly focuses on the dynamical behavior of connection relationships between the nodes, and the network nodes only play a helping and secondary role in the dynamics of connection relationships. Due to the state of the links subsystem is difficult to be measured accurately in practice appliances, the Riccati difference equation without any control input is employed as the dynamic model of the links subsystem, in which the dynamic coupling term is the first order polynomial about the state of nodes. With the helping of controlled nodes, the tracking problem is discussed for the links subsystem. By using thecoupling algebraic relation between the reference tracking targets of the nodes subsystem and the given trackingtarget of the links subsystem, the tracking control scheme is proposed for the nodes subsystem to force the linkssubsystem converges asymptotically to the given target. Finally, the simulations are used to show the validity of themethod in this paper.