Synchronization of complex dynamical networks with saturated delayed impulsive control

IF 6.3 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

ISA transactions Pub Date : 2025-02-01 DOI:10.1016/j.isatra.2024.11.058

Zhilong He , Chuandong Li , Linfei Nie

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Abstract

This paper considers the local exponential synchronization problem for a type of complex dynamical networks (CDNs) with both system delay and coupled delay using saturated delayed impulsive control. Based on the methods of average impulsive interval (AII), average impulsive delay (AID) and average impulsive estimation (AIE), a Razumikhin-type inequality with hybrid delayed impulses (which include delayed impulses and delay-free impulses) is derived. This inequality includes pure delayed impulsive inequalities. By utilizing the constructed inequality and the Lyapunov stability theory, the saturation nonlinearities are treated as the convex hulls, and sufficient synchronization criteria for local exponential synchronization of CDNs are presented in the framework of linear matrix inequalities (LMIs). Moreover, to enlarge the estimation of region of attraction (ROA) and the design of impulsive control gain, a convex optimization problem based on LMIs is formulated. Finally, a numerical example demonstrates the effectiveness of the obtained results.

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饱和延迟脉冲控制下复杂动态网络的同步。

本文利用饱和延迟脉冲控制研究一类既有系统延迟又有耦合延迟的复杂动态网络的局部指数同步问题。基于平均脉冲间隔（AII）、平均脉冲延迟（AID）和平均脉冲估计（AIE）方法，导出了一个混合延迟脉冲（包括延迟脉冲和无延迟脉冲）的razumikhin型不等式。这个不等式包括纯延迟脉冲不等式。利用所构造的不等式和Lyapunov稳定性理论，将饱和非线性视为凸包，在线性矩阵不等式（lmi）的框架下给出了CDNs局部指数同步的充分的同步准则。此外，为了扩大吸引区（ROA）的估计和脉冲控制增益的设计，构造了一个基于lmi的凸优化问题。最后，通过数值算例验证了所得结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

ISA transactions 工程技术-工程：综合

CiteScore

11.70

自引率

12.30%

发文量

824

审稿时长

4.4 months

期刊介绍： ISA Transactions serves as a platform for showcasing advancements in measurement and automation, catering to both industrial practitioners and applied researchers. It covers a wide array of topics within measurement, including sensors, signal processing, data analysis, and fault detection, supported by techniques such as artificial intelligence and communication systems. Automation topics encompass control strategies, modelling, system reliability, and maintenance, alongside optimization and human-machine interaction. The journal targets research and development professionals in control systems, process instrumentation, and automation from academia and industry.