<p>This research focuses on the exponential synchronization of uncertain complex-valued inertial neural networks (CVINNs) with time-varying delays (TVDs) and distributed TVDs. Firstly, considering the fragility of controllers and transmission delays, a non-fragile memory sampled-data control (SDC) approach is employed to address the synchronization issue of CVINNs. Subsequently, to further reduce conservatism, the improved reciprocally convex inequality is extended to the complex domain. Furthermore, a Lyapunov-Krasovskii functional (LKF) based on the entire sampling period is designed, and combined with the improved complex-valued inequalities, sufficient conditions for the exponential synchronization of the addressed system are derived. Finally, a numerical simulation and an application example are developed, aiming to validate both theoretical efficacy and implementation feasibility.</p>

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Non-fragile memory sampled-data control for exponential synchronization of uncertain complex-valued inertial neural networks with mixed delays

  • Ziye Zhang,
  • Ping Sun,
  • Runan Guo,
  • Zhen Wang,
  • Chong Lin

摘要

This research focuses on the exponential synchronization of uncertain complex-valued inertial neural networks (CVINNs) with time-varying delays (TVDs) and distributed TVDs. Firstly, considering the fragility of controllers and transmission delays, a non-fragile memory sampled-data control (SDC) approach is employed to address the synchronization issue of CVINNs. Subsequently, to further reduce conservatism, the improved reciprocally convex inequality is extended to the complex domain. Furthermore, a Lyapunov-Krasovskii functional (LKF) based on the entire sampling period is designed, and combined with the improved complex-valued inequalities, sufficient conditions for the exponential synchronization of the addressed system are derived. Finally, a numerical simulation and an application example are developed, aiming to validate both theoretical efficacy and implementation feasibility.