<p>The study focuses on achieving exponential synchronization of complex dynamical networks subject to time-varying delays through a sampled-data control framework utilizing the input delay technique. To establish exponential synchronization, a Lyapunov–Krasovskii functional is constructed and employed for stability analysis. The main innovation of this study is the development of a novel sampled-data output feedback pinning controller that simultaneously ensures mixed <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40435_2025_1831_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="TEX">$ H_\infty $</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> and passivity performance. This is achieved by deriving a Lyapunov–Krasovskii functional and its time derivative, leading to the formulation of linear matrix inequalities (LMIs) that guarantee system stability under the combined <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40435_2025_1831_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="TEX">$ H_\infty $</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> and passivity constraints. The effectiveness of the proposed approach is validated through illustrative numerical examples. Compared to conventional methods, the proposed technique provides enhanced flexibility and efficiency by unifying <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40435_2025_1831_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="TEX">$ H_\infty $</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> and passive control objectives. It significantly mitigates external disturbances while ensuring robust synchronization, making it particularly suitable for controlling large-scale complex networked systems.</p>

A hybrid pinning control framework for ensuring robust synchronization in complex networks

期刊论文
发表日期：

2025年9月1日

查看全文

K. Hemalatha,
N. Padmaja

摘要

The study focuses on achieving exponential synchronization of complex dynamical networks subject to time-varying delays through a sampled-data control framework utilizing the input delay technique. To establish exponential synchronization, a Lyapunov–Krasovskii functional is constructed and employed for stability analysis. The main innovation of this study is the development of a novel sampled-data output feedback pinning controller that simultaneously ensures mixed $ H_\infty $ $H_{\infty}$ and passivity performance. This is achieved by deriving a Lyapunov–Krasovskii functional and its time derivative, leading to the formulation of linear matrix inequalities (LMIs) that guarantee system stability under the combined $ H_\infty $ $H_{\infty}$ and passivity constraints. The effectiveness of the proposed approach is validated through illustrative numerical examples. Compared to conventional methods, the proposed technique provides enhanced flexibility and efficiency by unifying $ H_\infty $ $H_{\infty}$ and passive control objectives. It significantly mitigates external disturbances while ensuring robust synchronization, making it particularly suitable for controlling large-scale complex networked systems.