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Chen, Xiangyong,Cao, Jinde,Park, Ju H.,Huang, Tingwen,Qiu, Jianlong Elsevier 2018 Journal of the Franklin Institute Vol.355 No.5
<P><B>Abstract</B></P> <P>By considering network transmission mode, this paper addresses the finite-time multi-switching synchronization problem for two kinds of multiple chaotic systems. For multiple same-order chaotic systems, we construct the general switching rules and analyze the existence of switching cases. The presented schemes guarantee the states of each derive system to be finite-timely synchronized with the desired states of every respond system in the different transmission paths and switching sequences. For multiple different order chaotic systems, we analyze a special multi-switching hybrid synchronization behavior, where part of the states are completely synchronized and the others belong to combination synchronization. Moveover, the easily verifiable criterion is derived for such synchronization. Finally, numerical examples are given to show the effectiveness of the presented theoretical results.</P>
New Stochastic Stability Criteria for Nonlinear Neutral Markovian Jump Systems
Hongmei Zhang,Jinde Cao,Lianglin Xiong 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.3
This paper address the stochastic stability of neutral markovian jumping systems with nonlinear perturbations. By constructing novel Lyapunov functionals which contain an augmented Lyapunov functional, andcombining with the new inequalities, new delay-dependent stochastic stability criteria for the nominal systems areobtained. The asymptotically stable condition is a special case for the stochastic stability condition as the systemswithout markovian jump. Numerical examples show that the derived conditions are much less conservative thanthose given in the existing literature.
Bifurcation Control in a Delayed Two-neuron Fractional Network
Lingzhi Zhao,Jinde Cao,Chengdai Huang,Ahmed Alsaedi,Abdullah Al-Barakati,Habib M. Fardoun 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.3
The issue of bifurcation control for a delayed fractional network involving two neurons is concerned. Delay-dependent stability conditions and the bifurcation point are established by discussing the associated characteristicequation of the proposed network. Then, a delayed feedback controller is firstly designed to stabilizethe Hopf bifurcation, and desirable dynamics is achieved. It is indicated that the designed controller is extremelyeffective which can postpone the onset of bifurcation by carefully selecting the feedback gain. Finally, simulationresults are given to verify the efficiency of the theoretical results.
Shaolin Li,Jinde Cao 제어·로봇·시스템학회 2015 International Journal of Control, Automation, and Vol.13 No.5
This paper discusses the distributed adaptive control schemes for pinning synchronization in complex dynamical network with non-delayed and delayed coupling. An effective distributed adaptive strategy to adjust simultaneously coupling strength and feedback gains is designed based on information of the non-delayed network’s configuration. For a special case where the information of delay is available, a distributed adaptive scheme to tune the coupling weights of non-delayed coupling network is proposed by using the delayed feedback controllers. Based on the small-world network and scale-free network, simulation examples are given to demonstrate the effectiveness of theoretical analysis.
Robust Synchronization of Dynamical Network with Impulsive Disturbances and Uncertain Parameters
Cong Zheng,Jinde Cao 제어·로봇·시스템학회 2013 International Journal of Control, Automation, and Vol.11 No.4
In this paper, we investigate robust global exponential synchronization of an impulsive complex dynamical network with uncertain parameters. The new impulse proposed is added on the coupled states and is relative not only with the coupled states at the current impulsive time instants but also with ones at the previous impulsive time instants. Some sufficient conditions are derived to ensure robust exponential synchronization of the presented impulsive dynamical network by using the stability analysis for impulsive delay systems. The obtained results extend the existed ones. A numerical example is finally exploited to show the effectiveness of the obtained results.
Consensus of Leader-Following Multi-Agent Systems in Time-Varying Networks via Intermittent Control
Aihua Hu,Jinde Cao,Manfeng Hu 제어·로봇·시스템학회 2014 International Journal of Control, Automation, and Vol.12 No.5
This paper is concerned with the issue of consensus for leader-following multi-agent systems, wherein the agents acting as followers update states based on the information received from the time-varying neighbors and the virtual leader. Moreover, the neighbors of an agent are divided into three types according to their relative position, which may also be changed with time. Consensus protocol is derived mainly by using intermittent control, and based on the Lyapunov stability theory, sufficient conditions for consensus are presented and proved theoretically. Finally, some numerical examples are given to demonstrate the effectiveness of the results.
Fixed-time Synchronization of Memristive Cohen-Grossberg Neural Networks with Impulsive Effects
Ruoyu Wei,Jinde Cao,Ahmed Alsaedi 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.5
This paper investigates the fixed-time synchronization of memristive Cohen-Grossberg neural networks with impulsive effects. Through a nonlinear transformation and Fillipov discontinuous theory, we obtain an equivalent system from the original memristive Cohen-Grossberg neural networks. By constructing a discontinuous Lyapunov function and utilizing comparison principle, a sufficient condition is achieved to guarantee the fixed-time synchronization of drive-response system with impulsive effects. Moreover, for the purpose of reducing the cost of control, an adaptive control strategy is considered. Finally, corresponding numerical simulations are carried out to show the effectiveness of the analytic results.
Ali Kazemy,Jinde Cao 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.6
In this paper, a consecutive synchronization scheme is investigated to synchronize the nodes of a delayed complex dynamical network with an isolated node via an adaptive control approach. The specific feature of this scheme consists in the structure of the communication links: a communication connection is required between the isolated node and one selected node in the network, and further communication links exist between any node and one neighbor node. In this way, all nodes are connected together like a chain. Based on Lyapunov-Krasovskii theory, some conditions are obtained in the form of linear matrix inequalities to guarantee the consecutive synchronization by the designed distributed adaptive control. To make this synchronization scheme more practical, no constraints have been considered for coupling connection matrix such as being symmetric or zero row sum. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed method.
Input-to-state Stability of Impulsive Stochastic Nonlinear Systems Driven by G-Brownian Motion
Lijun Pan,Jinde Cao 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.2
This paper studies the input-to-state stability (ISS), stochastic input-to-state stability (SISS) and eλt-weighted input-to-state stability (eλt-ISS) of impulsive stochastic nonlinear systems driven by G-Brownian motion (IGSNSs). If the continuous stochastic systems are not ISS, the impulsive effects can stabilize the system for the fixed dwell-time sequences. However, if the continuous stochastic systems are ISS, the hybrid system can achieve ISS for destabilizing impulses with upper bound of the fixed dwell-time. Moreover, the average dwell-time condition is generalized to guarantee the ISS for IGSNSs based on G-Lyapunov method. Finally, an example is provided to illustrate the effectiveness of theoretical results.