Global Finite-Time and Fixed-Time Synchronization for Discontinuous Complex Dynamical Networks with Semi-Markovian Switching and Mixed Delays

Lina Yu; Jingchao Zhang; Yunfei Ma; Xinhua Tan; Chunwei Wang

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Global Finite-Time and Fixed-Time Synchronization for Discontinuous Complex Dynamical Networks with Semi-Markovian Switching and Mixed Delays

机译：具有半市场开关和混合延迟的不连续复杂动态网络的全局有限时间和定时同步

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This paper is concerned with the global finite-time and fixed-time synchronization for a class of discontinuous complex dynamical networks with semi-Markovian switching and mixed time-varying delays. The novel state-feedback controllers, which include integral terms and discontinuous facts, are designed to realize the global synchronization between the drive system and response system. By applying the Lyapunov functional method and matrix inequality analysis technique, the global finite-time and fixed-time synchronization conditions are addressed in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to illustrate the feasibility of the proposed control scheme and the validity of theoretical results.

机译：本文涉及一种具有半马克罗维安切换和混合时变延迟的一类不连续的复杂动态网络的全球有限时间和定时同步。包括整体术语和不连续事实的新型状态反馈控制器旨在实现驱动系统和响应系统之间的全局同步。通过应用Lyapunov功能方法和矩阵不等式分析技术，就线性矩阵不等式（LMI）而言，解决了全局有限时间和定时同步条件。最后，提供了两种数值例子以说明所提出的控制方案的可行性和理论结果的有效性。

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2021年第a期|共21页
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Lina Yu; Jingchao Zhang; Yunfei Ma; Xinhua Tan; Chunwei Wang;
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1. Fixed-time synchronization for discontinuous delayed complex-valued networks with semi-Markovian switching and hybrid couplings via adaptive control [J] . Liu Shujin, Wu Huaiqin, Cao Jinde International Journal of Adaptive Control and Signal Processing . 2020,第10期

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
2. Stochastic finite-time synchronization for discontinuous semi-Markovian switching neural networks with time delays and noise disturbance [J] . Liu Min, Wu Huaiqin Neurocomputing . 2018,第OCTa8期

机译：具有时间延迟和噪声干扰的不连续半马尔可夫切换神经网络的随机有限时间同步
3. Global synchronization in fixed time for semi-Markovian switching complex dynamical networks with hybrid couplings and time-varying delays [J] . Wang Zhibo, Wu Huaiqin Nonlinear dynamics . 2019,第3期

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
4. Global asymptotical synchronization of delayed complex dynamical networks with switching topology [C] . Junguo Lu, Junyao Chen, Weidong Chen IFAC Symposium on Large Scale Complex Systems . 2013

机译：交换拓扑延迟复杂动态网络的全局渐近同步
5. Exponential Stability of Intrinsically Stable Dynamical Networks and Switched Networks with Time-Varying Time Delays [D] . Reber, David Patrick. 2019

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6. Globally fixed-time synchronization of coupled neutral-type neural network with mixed time-varying delays [O] . Mingwen Zheng, Lixiang Li, Haipeng Peng, -1

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7. Finite-time H∞ synchronization for complex dynamical networks with mixed mode-dependent time delays [O] . Yuechao Ma, Nannan Ma 2016

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Global Finite-Time and Fixed-Time Synchronization for Discontinuous Complex Dynamical Networks with Semi-Markovian Switching and Mixed Delays

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