Problems in stability theory for complex systems and networks


Grant Data
Project Title
Problems in stability theory for complex systems and networks
Principal Investigator
Professor Hill, David John   (Principal investigator)
Duration
36
Start Date
2015-09-01
Completion Date
2018-08-31
Amount
696029
Conference Title
Presentation Title
Keywords
Networks, Systems, Stability, Complexity
Discipline
Others - Electrical and Electronic Engineering
Panel
Engineering (E)
Sponsor
RGC General Research Fund (GRF)
HKU Project Code
17200415
Grant Type
General Research Fund (GRF)
Funding Year
2015/2016
Status
On-going
Objectives
1) To give constructive criteria for larger classes of complex systems and networks (especially including hybrid dynamics) which exploit system structure; 2) To study the ISS approach as an intersection of state-space based and input-output based approaches and clarify connections more closely with these theories (and the dissipativity framework which includes them both); 3) In particular, based on some recent results by the CI with B. Liu, to study Razumikhin theory as a general way to deal with complexities (not just time-delays); 4) Study application classes of network systems including so-called oscillator networks and simplified power networks (with connectivity and hybrid dynamics).