Complex networks: topology, spectrum and linear processes

The concept of a network, defined as a collection of interconnected nodes or entities, has become a foundation for a new field of inquiry, namely network science. Despite the apparent simplicity of the concept, the pairwise representation of interconnecting nodes has enabled a plethora of insights into the structure of networks and the effects...

Equilibrium seeking in games under partial-decision information

The topic of this dissertation is the distributed computation of Generalized Nash Equilibria (GNEs) in multi-agent games with network structure. In particular, we design and analyze algorithms in the partial-decision information scenario (also named fully-distributed algorithms), where each agent can only rely on the information received by some...

Max-plus-algebraic hybrid automata: Beyond synchronisation and linearity

Man-made systems, such as manufacturing and transportation networks, and their interactions with the environment are driven by human-designed operational rules. These rules are most often based on the asynchronous occurrence of discrete events over time, such as the arrival and departure of trains at a station. The modelling, analysis, and...

Reinforcement learning in continuous state and action spaces

The framework of dynamic programming (DP) and reinforcement learning (RL) can be used to express important problems arising in a variety of fields, including e.g., automatic control, operations research, economy, and computer science. From the perspective of automatic control, DP/RL expresses an optimal control problem for general, nonlinear,...