Adaptive input-to-state stable synchronization for uncertain time-delay Lur'e systems

• 作者: Zhi Zhang Zhilian Yan Jianping Zhou Yebin Chen
• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2021,（8）
• 所属期刊栏目: MATHEMATICAL PHYSICS
• 页码范围: 31-40
• 页数: 10页
• 语种: 英文

摘要

This paper is dedicated to the study of adaptive input-to-state stable synchronization of uncertain time-delay Lur'e systems with exterior interference.With the help of the Lyapunov function approach,a sufficient condition for the input-to-state stability of the synchronization-error system is derived,which is theoretically less conservative than a previously reported criterion in the absence of parameter uncertainties.On the basis of the present condition,a co-design of the feedback gain and estimates of the uncertain parameters is given to determine the desired adaptive synchronization controller.Finally,an example with simulations is provided to demonstrate the applicability and superiority of the analysis and design strategies.