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首页> 外文期刊>Nonlinear dynamics >Global synchronization in fixed time for semi-Markovian switching complex dynamical networks with hybrid couplings and time-varying delays
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Global synchronization in fixed time for semi-Markovian switching complex dynamical networks with hybrid couplings and time-varying delays

机译：固定时间的全局同步用于具有混合耦合的半市场切换复杂动态网络和时变延迟

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摘要

This paper is concerned with the global synchronization in fixed time for semi-Markovian switching complex dynamical networks with hybrid couplings and time-varying delays in the presence of disturbances. Firstly, the property with respect to the global stability in fixed time is developed for semi-Markovian switching nonlinear systems. Subsequently, a novel sliding manifold with double integration is presented based on the proposed principle of convergence in fixed time. Under the designed sliding mode controller, the state trajectory of synchronization error system is driven to the prescribed sliding manifold in fixed time. In addition, the global stability in fixed time of sliding mode dynamics is proved analytically. By means of the stochastic Lyapunov-Krasovskii functional approach, the synchronization condition is established in terms of linear matrix inequalities; moreover, the stochastic fixed settling-time can be determined to any desired values in advance, via the configuration of parameters in the proposed controller. Finally, two numerical examples are provided to demonstrate the validity of the theoretical results and the feasibility of the proposed approach.
机译：本文涉及半马尔维亚切换复合动态网络的固定时间全局同步，其具有混合耦合和存在干扰的时变延迟。首先，开发了用于半市场开关非线性系统的固定时间内的全​​局稳定性的财产。随后，基于固定时间的收敛原理提出了一种具有双积分的新型滑动歧管。在设计的滑模控制器下，同步误差系统的状态轨迹被驱动到固定时间的规定的滑动歧管。此外，在分析上证明了在滑模动态的固定时间内的全​​局稳定性。通过随机Lyapunov-Krasovskii功能方法，在线性矩阵不等式建立同步条件;此外，通过在所提出的控制器中的参数的配置，可以预先确定随机固定沉降时间。最后，提供了两个数值例子以证明理论结果的有效性和所提出的方法的可行性。

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