Correct-by-construction synthesis is a cornerstone of the confluence of formal methods and
control theory towards designing safety-critical systems. Instead of following the time-tested …

In control theory, complex models of physical processes, such as systems of differential or
difference equations, are usually checked against simple specifications, such as stability …

In recent years, formal methods have been extensively used in the design of autonomous
systems. By employing mathematically rigorous techniques, formal methods can provide …

Stochastic hybrid systems have received significant attentions as a relevant modeling
framework describing many systems, from engineering to the life sciences: they enable the …

We introduce SCOTS a software tool for the automatic controller synthesis for nonlinear
control systems based on symbolic models, also known as discrete abstractions. The tool …

This article focuses on synthesizing control policies for discrete-time stochastic control
systems together with a lower bound on the probability that the systems satisfy the complex …

We provide a data-driven approach equipped with a formal guarantee for verifying the safety
of stochastic systems with unknown dynamics. First, using a notion of barrier certificates, the …

We present for the first time a supermartingale certificate for ω-regular specifications. We
leverage the Robbins & Siegmund convergence theorem to characterize supermartingale …

In this paper, we develop a compositional approach to abstraction and safety synthesis for a
general class of discrete-time nonlinear systems. Our approach makes it possible to define a …

We introduce a data-driven approach to computing finite bisimulations for state transition
systems with very large, possibly infinite state space. Our novel technique computes stutter …