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

In control theory, complicated dynamics such as systems of (nonlinear) differential equations
are controlled mostly to achieve stability. This fundamental property, which can be with …

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 …

The Hamilton Jacobi Bellman Equation (HJB) provides the globally optimal solution to large
classes of control problems. Unfortunately, this generality comes at a price, the calculation of …

Automatically synthesizing controllers for continuous-state nonlinear stochastic systems,
while giving guarantees on the probability of satisfying (infinite-horizon) temporal logic …

Temporal logic has been widely used to express complex task specifications for cyber-
physical systems (CPSs). One way to synthesize a controller for CPS under temporal logic …

This work investigates the computation of finite abstractions of Stochastic Max-Plus-Linear
(SMPL) systems and their formal verification against general bounded-time linear temporal …

This paper presents a novel approach for achieving safe stochastic optimal control in
networked multi-agent systems (MASs). The proposed method incorporates barrier states …

This paper presents a new methodology to craft navigation functions for nonlinear systems
with stochastic uncertainty. The method relies on the transformation of the Hamilton-Jacobi …

This paper presents a method that allows mobile systems with uncertainty in motion and
sensing to react to unknown environments while high-level specifications are satisfied …