C. Guiver. Passivity theorems for forced Lur'e inclusions and equations скачать в хорошем качестве

C. Guiver. Passivity theorems for forced Lur'e inclusions and equations

Talk at the Online Seminar on Input-to-State Stability and its Applications https://researchseminars.org/seminar/... Speaker: Chris Guiver (Edinburgh Napier University, United Kingdom) Title: Passivity theorems for forced Lur'e inclusions and equations, and consequent entrainment-type properties 02:41 Motivating application, wave-energy conversion 07:06 Background concepts 21:00 ISS for Lur'e inclusions 30:06 Incremental ISS for Lur'e equations 39:29 Almost Periodic functions, and entrainment for Lur'e systems 44:41 Examples 47:15 Summary Abstract: I will discuss recent input-to-state stability results for a class of forced differential inclusions, so-called Lur’e inclusions. One motivation is to obtain semi-global incremental input-to-state stability results for systems of forced Lur’e differential equations. The results are in the spirit of the passivity theorem from control theory as both the linear and nonlinear components of the Lur’e inclusion (or equation) are assumed to satisfy passivity-type conditions. These results provide a basis for the analysis of forced Lur’e differential equations subject to (almost) periodic forcing terms and, roughly speaking, ensure the existence and attractivity of (almost) periodic state-and output-responses, comprising another focus of the present work. One ultimate aim is to establish a robust and rigorous theoretical foundation for a well-defined and tractable “frequency response” of forced Lur’e systems. Biography: Chris Guiver is an academic working in the UK in mathematical systems and control theory, coming to the subject from a mathematics background. He obtained a Mmath (mathematics) and Ph.D. in mathematics in 2008 and 2012, respectively, both from the University of Bath. He was a postdoctoral researcher at the University of Exeter between 2012 and 2015. Between 2016 and 2020 he was a Lecturer in Applied Mathematics at the University of Bath, and since 2020 he holds the position of Lecturer at Edinburgh Napier University. He is a senior member of the IEEE, and organises the UK national Mathematical Systems and Control Theory Network. He has worked in a number of areas, including: the stability theory of nonlinear control systems using Input-to-State Stability concepts; the application of control-theoretic concepts in mathematical ecology and biology, and; distributed-parameter (infinite-dimensional) control systems. Earlier in his career he conducted research in model order reduction of linear control systems by balanced truncation and its variants, in both the finite- and infinite-dimensional settings. References: Chris Guiver. Passivity theorems for input-to-state stability of forced Lur’e inclusions and equations, and consequent entrainment-type properties. ESAIM: COCV 31 (2025) 22. https://doi.org/10.1051/cocv/2025013. Edinburgh Meeting July 2025: https://www.eventbrite.co.uk/e/2nd-me... Slides: http://mironchenko.com/__My_php_sourc... Date: Wednesday, 26th March 2025