# Biblio

Submitted

online first

Today's increasingly populous cities require intelligent transportation systems that make efficient use of existing transportation infrastructure. However, inefficient traffic management is pervasive, costing US\$160 billion in the United States in 2015, including 6.9 billion hours of additional travel time and 3.1 billion gallons of wasted fuel. To mitigate these costs, the next generation of transportation systems will include connected vehicles, connected infrastructure, and increased automation. In addition, these advances must coexist with legacy technology into the foreseeable future. This complexity makes the goal of improved mobility and safety even more daunting.

We propose a framework for generating a signal control policy for a traffic network of signalized intersections to accomplish control objectives expressible using linear temporal logic. By applying techniques from model checking and formal methods, we obtain a correct-by-construction controller that is guaranteed to satisfy complex specifications. To apply these tools, we identify and exploit structural properties particular to traffic networks that allow for efficient computation of a finite-state abstraction. In particular, traffic networks exhibit a componentwise monotonicity property which enables reaching set computations that scale linearly with the dimension of the continuous state space.}, %keywords={Indexes;Roads;Throughput;Trajectory;Vehicle dynamics;Vehicles;Finite state abstraction;linear temporal logic;transportation networks

The property of synchronization of multiple identical linear time-invariant (LTI) systems connected through a graph in a network with stochastically-driven isolated communication events is studied. More precisely, the goal is to design a feedback controller that, using information obtained over such networks, asymptotically drives the values of their states to synchronization and render the synchronization condition Lyapunov stable. To solve this problem, we propose a controller with hybrid dynamics, namely, the controller exhibits continuous dynamics between communication events while it has variables that jump at such events. Due to the additional continuous and discrete dynamics inherent to the networked systems and communication structure, we use a hybrid systems framework to model the closed-loop system and design the controller. The problem of synchronization is then recast as a compact set stabilization problem and, by employing Lyapunov stability tools for hybrid systems, sufficient conditions for asymptotic stability of the synchronization set are provided. Furthermore, we show that synchronization property is robust to a class of perturbations on the transmitted data. Numerical examples illustrate the main results.