Problems in stability theory for complex systems and networks
Professor Hill, David John (Principal investigator)
Networks, Systems, Stability, Complexity
Others - Electrical and Electronic Engineering
RGC General Research Fund (GRF)
HKU Project Code
General Research Fund (GRF)
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).