Stability and convergence properties of forced Lur'e system
Lead Research Organisation:
University of Bath
Department Name: Mathematical Sciences
Abstract
The aim of the research project is to link control theory to more traditional areas of applied mathematics by analysing forced dynamics on the basis of recent control theoretic methods (such as input-to-state stability theory, incremental stability properties, forced contractive systems), and thereby introducing new methodology into applied dynamical systems. Applications to models arising in population dynamics will form an integral part of the project. The latter will require the use of methods from the theory of positive dynamical systems. The project will encompass discrete-time as well as continuous time models. Initially, attention will focus on finite-dimensional systems, but it is anticipated to include certain infinite-dimensional models in the investigations during the second half of the project.
Organisations
People |
ORCID iD |
Hartmut Logemann (Primary Supervisor) | |
Max GILMORE (Student) |
Publications
Gilmore M
(2020)
Semi-global incremental input-to-state stability of discrete-time Lur'e systems
in Systems & Control Letters
Gilmore ME
(2019)
Stability and convergence properties of forced infinite-dimensional discrete-time Lur'e systems
in International Journal of Control
Studentship Projects
Project Reference | Relationship | Related To | Start | End | Student Name |
---|---|---|---|---|---|
EP/N509589/1 | 01/10/2016 | 30/09/2021 | |||
1789410 | Studentship | EP/N509589/1 | 01/10/2016 | 31/03/2020 | Max GILMORE |
Description | BAMC 2019 conference talk |
Form Of Engagement Activity | Participation in an activity, workshop or similar |
Part Of Official Scheme? | No |
Geographic Reach | International |
Primary Audience | Other audiences |
Results and Impact | I presented a part of my research at the 2019 BAMC conference. In attendance were academics and post-graduate students from universities around the world. |
Year(s) Of Engagement Activity | 2019 |
Description | Seminar talks |
Form Of Engagement Activity | A talk or presentation |
Part Of Official Scheme? | No |
Geographic Reach | Local |
Primary Audience | Other audiences |
Results and Impact | Delivered informal seminars twice each year to academic audiences. In the seminars, I discussed my research and took questions. The talks allowed my research to be seen by more people, and also, from the questions given, led to additional research ideas. |
Year(s) Of Engagement Activity | 2016,2017,2018,2019 |