An up-to-date survey of the theory of port-Hamiltonian systems is given, emphasizing novel
developments and relationships with other formalisms. Port-Hamiltonian systems theory …

Contraction theory is an analytical tool to study differential dynamics of a non-autonomous
(ie, time-varying) nonlinear system under a contraction metric defined with a uniformly …

In-context learning (ICL) is a type of prompting where a transformer model operates on a
sequence of (input, output) examples and performs inference on-the-fly. In this work, we …

The emergence of synchronization in a network of coupled oscillators is a fascinating
subject of multidisciplinary research. This survey reviews the vast literature on the theory …

Cyber-physical systems (CPSs) are the next generation of engineered systems in which
computing, communication, and control technologies are tightly integrated. Research on …

In this chapter we present a state space interpretation of the small gain and passivity
approach of the previous chapter. Moreover, we will come to some kind of synthesis …

The theory of nonautonomous dynamical systems in both of its formulations as processes
and skew product flows is developed systematically in this book. The focus is on dissipative …

Hybrid systems describe the interaction of software, described by finite models such as finite-
state machines, with the physical world, described by infinite models such as differential …

Lyapunov functions are an essential tool in the stability analysis of dynamical systems, both
in theory and applications. They provide sufficient conditions for the stability of equilibria or …

The analysis and design of nonlinear feedback systems has recently undergone an
exceptionally rich period of progress and maturation, fueled, to a great extent, by (1) the …