講座名稱：李雅普諾夫函數(shù)方法系列報(bào)告

講座人：Andrey Polyakov

講座地點(diǎn)：北校區(qū)會(huì)議中心303-1報(bào)告廳

講座人介紹：Andrey Polyakov received his PhD Degree in System Analysis, Control and Information Processing from the Voronezh State University, Russia in 2005. Till 2010 he was an Associate Professor in the same university. From 2007 to 2008 he was a postdoc in CINVESTAV, Mexico. Form 2010 to 2014, Andrey Polyakov was a Leading Researcher of the Institute of Control Sciences of Russian Academy of Sciences. In 2013, he joined the Inria centre of the University of Lille in France as a researcher. His main research interests include various aspects nonlinear control and estimation.

講座內(nèi)容介紹：The concept of stability introduced A.M. Lyapunov in 1892 is one of central notions in mathematics. The Lyapunov's theory addresses the stability of trajectories of dynamical systems under small perturbations of initial conditions. The stability analysis is widely used in various practical problems in electrical and mechanical engineering. For instance, many methods of automatic control design are based on stability theory. Most of models of real physical systems are nonlinear, so their stability analysis is a difficult problem in the general case. This series of lecture give a brief introduction to the Lyapunov function method that is the main tool for stability analysis of nonlinear dynamical systems. The lectures deal with systems modelled by both continuous and discontinuous ordinary differential equations, survey stability notions and, finally, discusses various Lyapunov Function Theorems. All theoretical results are supported by many illustrative examples.

時(shí)間：2024年4月30日 10:00-11:00 地點(diǎn)：北校區(qū)會(huì)議中心三層303-1報(bào)告廳

報(bào)告題目：Ordinary Differential Equations and Models of Dynamical Systems

報(bào)告摘要：This lecture presents an introduction to continuous ordinary differential equations (ODEs) and the corresponding modelling framework for dynamical systems.

時(shí)間：2024年4月30日 11:00-12:00 地點(diǎn)：北校區(qū)會(huì)議中心三層303-1報(bào)告廳

報(bào)告題目：Continuous Ordinary Differential Equations

報(bào)告摘要：This lecture is devoted to solution existence and uniqueness problems for continuous ODEs. Continuous dependence of solutions on initial data and on parameters is studied as well.

時(shí)間：2024年5月6日 10:00-11:00 地點(diǎn)：北校區(qū)會(huì)議中心三層303-1報(bào)告廳

報(bào)告題目： Discontinuous Ordinary Differential Equations

報(bào)告摘要：In this lecture, some elements of Carathéodory Theory and Filippov Theory of differential equations with discontinuous right-hand side are discussed.

時(shí)間：2024年5月6日 11:00-12:00 地點(diǎn)：北校區(qū)會(huì)議中心三層303-1報(bào)告廳

報(bào)告題目：Differential Inclusions

報(bào)告摘要：This lecture presents an introduction to the theory of differential inclusions, which is utilized for modelling of uncertain systems as well as for solution existence analysis of discontinuous differential equations.

時(shí)間：2024年5月7日 10:00-11:00 地點(diǎn)：北校區(qū)會(huì)議中心三層303-1報(bào)告廳

報(bào)告題目： Classical Stability Theory

報(bào)告摘要：This lecture gives an introduction to the stability theory introduced by A.M. Lyapunov. The classical concepts of stability (such as Lyapunov and asymptotic stability) are considered.

時(shí)間：2024年5月7日 11:00-12:00 地點(diǎn)：北校區(qū)會(huì)議中心三層303-1報(bào)告廳

報(bào)告題目：Modern Stability Theory

報(bào)告摘要：This lecture surveys popular recent development of the stability theory such as finite/fixed-time stability and input-to-state stability.

時(shí)間：2024年5月8日 10:00-11:00 地點(diǎn)：北校區(qū)會(huì)議中心三層303-1報(bào)告廳

報(bào)告題目： Classical Lyapunov Theorem

報(bào)告摘要：In this lecture, the basic ideas of Lyapunov function method are discussed and classical Lyapunov theorems are presented.

時(shí)間：2024年5月8日 11:00-12:00 地點(diǎn)：北校區(qū)會(huì)議中心三層303-1報(bào)告廳

報(bào)告題目：Modern Lyapunov Theorems

報(bào)告摘要：This lecture surveys the extensions of the Lyapunov function method and provides many examples and applications of the method.

主辦單位：機(jī)電工程學(xué)院