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首页> 外文期刊>International Journal of Adaptive Control and Signal Processing >Fixed-time synchronization for discontinuous delayed complex-valued networks with semi-Markovian switching and hybrid couplings via adaptive control
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Fixed-time synchronization for discontinuous delayed complex-valued networks with semi-Markovian switching and hybrid couplings via adaptive control

机译：具有自适应控制的半市场开关和混合耦合的不连续延迟复合网络的定时同步

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摘要

In this article, the global fixed-time synchronization issue is considered for semi-Markovian switching discontinuous complex-valued dynamical networks (CVDNs) with hybrid couplings and time-varying delays, in which CVDNs are not divided into two real value systems, contrary to existing literature. First, a new fixed-time convergence principle for complex-valued nonlinear system with semi-Markovian switching is developed. Second, to realize the fixed-time synchronization, the state feedback controller with integral term and adaptive controller are designed, respectively. Under the complex-valued differential inclusions framework, by utilizing Lyapunov-Krasovskii functional method and inequality analysis technique, the global fixed-time synchronization conditions are addressed in terms of linear matrix inequalities. Finally, two numerical simulations are given to illustrate the validity of the presented theoretical results.
机译：在本文中，通过混合耦合和时变延迟，将全局定时同步问题考虑半马尔科夫切换不连续复合值动态网络（CVDNS），其中CVDN不分为两个实际值系统，相反现有文学。首先，开发了具有半马克洛维亚开关的复值非线性系统的新型固定时间收敛原理。其次，为了实现定时同步，分别设计了具有整体术语和自适应控制器的状态反馈控制器。在复合值差分夹杂物框架下，通过利用Lyapunov-Krasovskii功能方法和不等式分析技术，就线性矩阵不等式而解决了全局定期同步条件。最后，给出了两种数值模拟来说明所提出的理论结果的有效性。

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