Problems in stability theory for complex systems and networks

Emeritus Professor Hill, David John   (Principal Investigator (PI))

36

2015-09-01

696029

Problems in stability theory for complex systems and networks

Complexity, Networks, Stability, Systems

Others - Electrical and Electronic Engineering

Engineering (E)

17200415

General Research Fund (GRF)

2015

Completed

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).