We analyze the stability properties of an end-to-end congestion control scheme under fixed heterogeneous delays, and for general network topologies. The scheme analyzed is based on the congestion control game of [1], with the starting point being the unique Nash equilibrium of that game. We prove global stability of this solution (and hence of the congestion control algorithm) under a mild symm...

The authors derive the design equations for parametric linear quadratic control of continuous-time systems with random delays. This problem motivates a more general setup that is utilised for the development of efficient numerical algorithms. Systems with random delays are important in control problems over communication networks. The generalised setup allows robustness issues against modelling...

Moreover, I am grateful to Brigitte Rohrbach for her careful editing of the manuscript which helped improve the standard of my English. Finally, a special thank to my wife Franziska for her patience and invaluable support. vii Summary The stability analysis of time-delay systems forms the centre of this work. Three tools are typically used to investigate the stability of such systems: Razumikhi...