讲座题目：Robust Stability and Stabilization of Parameter-Varying Systems

讲座专家：Prof. Denis Efimov, Inria, the University of Lille, France

讲座时间：2025年5月13日下午15:00~16:00

参会方式：腾讯会议号：885561833

讲座摘要：Persidskii Systems exhibit significant potential in modeling complex nonlinear dynamics across multidisciplinary scenarios. Typical applications include: (i) aerospace control (capturing nonlinear longitudinal motion dynamics of aircraft), (ii) Modern power systems (addressing grid oscillations induced by renewable energy integration and low-inertia challenges in distributed energy systems), (iii) Industrial process control (Characterizing time-varying nonlinear processes in chemical/metallurgical industries), etc. Despite advancements in parameter-independent Lyapunov function design and LMI-based stabilization, the stability analysis and stabilization of continuous time parameter dependent Persidskii systems remains an open issue. Therefore, this talk will focus on the analysis and design problems for a class of parameter-varying generalized Persidskii systems. A model within this class is simultaneously linear in time-varying parameters as in LPV framework, and contains sector nonlinearities of the state, as in Persidskii systems. The conditions for (integral) input-to-state stability and input-output-to-state stability are established. These results are developed using both, parameter-dependent and independent, Lyapunov functions. Finally, a new robust nonlinear control design method is also developed. The efficacy of these results is illustrated through a numerical academic example and a more complex model describing the nonlinear dynamics of aircraft longitudinal motion.

专家简介：Denis Efimov received Ph.D. degree in Automatic Control from the Saint-Petersburg State Electrical Engineering University (Russia) in 2001, and Dr. Sc. degree in Automatic control in 2006 from the Institute for Problems of Mechanical Engineering RAS (Saint-Petersburg, Russia). From 2006 to 2011 he was working in the L2S CNRS (Supelec, France), the Montefiore Institute (University of Liege, Belgium) and IMS CNRS lab (University of Bordeaux, France). In 2011, he joined Inria (Lille - Nord Europe Center). Starting from 2018 he is the scientific head of Valse team. He is a member of several IFAC TCs and a Senior Member of IEEE. He is also serving as an Associate Editor for IEEE Transactions on Automatic Control, IFAC Journal on Nonlinear Analysis: Hybrid Systems and Asian Journal of Control.