Plenary Lecture
Recent Aspects in Modelling the Stability of the Mixing Flow Dynamical Systems. The Case of Linear and Non-linear Controller Form of the Models
Professor Adela Ionescu
University of Craiova
Department of Applied Mathematics
Craiova, ROMANIA
E-mail: adelajaneta2015@gmail.com
Abstract: The paper presents some of the recent work on the qualitative approach of the stability for 2d dynamical systems arising from excitable media. The comparative study initial versus feedback linearized model is taken into account, since it gives really special opportunities of study. The analysis is focused on the stability study for the models, initial versus non-linear controller form model. The important point of the research is that it is possible to find a Lyapunov function candidate working both for initial and non-linear controller form model. It is known that the feedback linearizing method changes the dynamics of the model (Ionescu 2019) and in this context, approaching the stability study becomes more important. The results could be further extended to 3d case.
Brief Biography of the Speaker: Adela Ionescu is mathematician Ph.D. Lecturer at University of Craiova, Department of Applied Mathematics. She achieved her Ph.D. Degree in Industrial Engineering, and has more than 20 years experience in teaching and research. As research fields, she has interest in: general applied mathematics, differential equations and dynamical systems - qualitative analysis and numerical approach of mathematical models; bifurcation theory and chaos in dynamical systems; computational fluid dynamics. She published few monographs and chapters in books, also more than 40 papers in international journals, ISI and high indexed, and attended more than 45 international conferences since 1994. She is Associate Editor and reviewer in 9 international journals.