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We investigate the problem of synthesizing distributionally robust control policies for stochastic systems under safety and reach-avoid specifications. Using a game-theoretical framework, we consider the setting where the probability…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Yu Chen , Yuda Li , Shaoyuan Li , Xiang Yin

In this paper, we introduce a data-driven framework for synthesis of provably-correct controllers for general nonlinear switched systems under complex specifications. The focus is on systems with unknown disturbances whose effects on the…

Systems and Control · Electrical Eng. & Systems 2024-06-17 Ibon Gracia , Dimitris Boskos , Luca Laurenti , Morteza Lahijanian

In this paper, we consider discrete-time non-linear stochastic dynamical systems with additive process noise in which both the initial state and noise distributions are uncertain. Our goal is to quantify how the uncertainty in these…

Systems and Control · Electrical Eng. & Systems 2025-05-19 Steven Adams , Eduardo Figueiredo , Luca Laurenti

Controllers for dynamical systems that operate in safety-critical settings must account for stochastic disturbances. Such disturbances are often modeled as process noise in a dynamical system, and common assumptions are that the underlying…

Systems and Control · Electrical Eng. & Systems 2023-01-24 Thom Badings , Licio Romao , Alessandro Abate , David Parker , Hasan A. Poonawala , Marielle Stoelinga , Nils Jansen

We present a data-driven framework for strategy synthesis for partially-known switched stochastic systems. The properties of the system are specified using linear temporal logic (LTL) over finite traces (LTLf), which is as expressive as LTL…

Systems and Control · Electrical Eng. & Systems 2022-03-10 John Jackson , Luca Laurenti , Eric Frew , Morteza Lahijanian

We present a novel approach for the control of uncertain, linear time-invariant systems, which are perturbed by potentially unbounded, additive disturbances. We propose a \emph{doubly robust} data-driven state-feedback controller to ensure…

Optimization and Control · Mathematics 2024-05-29 Francesco Micheli , Anastasios Tsiamis , John Lygeros

Uncertainty propagation in non-linear dynamical systems has become a key problem in various fields including control theory and machine learning. In this work we focus on discrete-time non-linear stochastic dynamical systems. We present a…

Systems and Control · Electrical Eng. & Systems 2024-09-12 Eduardo Figueiredo , Andrea Patane , Morteza Lahijanian , Luca Laurenti

In this paper, we present a novel framework to synthesize robust strategies for discrete-time nonlinear systems with random disturbances that are unknown, against temporal logic specifications. The proposed framework is data-driven and…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Ibon Gracia , Luca Laurenti , Manuel Mazo , Alessandro Abate , Morteza Lahijanian

Discrete-time stochastic systems are an essential modelling tool for many engineering systems. We consider stochastic control systems that are evolving over continuous spaces. For this class of models, methods for the formal verification…

Systems and Control · Computer Science 2018-11-29 Sofie Haesaert , Sadegh Soudjani

In this paper we study the reachability problem for discrete-time nonlinear stochastic systems. Our goal is to present a unified framework for calculating the probabilistic reachable set of discrete-time systems in the presence of both…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Zishun Liu , Saber Jafarpour , Yongxin Chen

In this paper, we present an approach for designing correct-by-design controllers for cyber-physical systems composed of multiple dynamically interconnected uncertain systems. We consider networked discrete-time uncertain nonlinear systems…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Oliver Schön , Birgit van Huijgevoort , Sofie Haesaert , Sadegh Soudjani

Capturing uncertainty in models of complex dynamical systems is crucial to designing safe controllers. Stochastic noise causes aleatoric uncertainty, whereas imprecise knowledge of model parameters leads to epistemic uncertainty. Several…

Systems and Control · Electrical Eng. & Systems 2022-12-08 Thom Badings , Licio Romao , Alessandro Abate , Nils Jansen

We address the reachability problem for continuous-time stochastic dynamic systems. Our objective is to present a unified framework that characterizes the reachable set of a dynamic system in the presence of both stochastic disturbances and…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Saber Jafarpour , Zishun Liu , Yongxin Chen

We present a novel data-driven distributionally robust Model Predictive Control formulation for unknown discrete-time linear time-invariant systems affected by unknown and possibly unbounded additive uncertainties. We use off-line collected…

Optimization and Control · Mathematics 2022-09-20 Francesco Micheli , Tyler Summers , John Lygeros

This work targets the development of an efficient abstraction method for formal analysis and control synthesis of discrete-time stochastic hybrid systems (SHS) with linear dynamics. The focus is on temporal logic specifications, both over…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Nathalie Cauchi , Luca Laurenti , Morteza Lahijanian , Alessandro Abate , Marta Kwiatkowska , Luca Cardelli

In this paper, we consider the problem of propagating an uncertain distribution by a possibly non-linear function and quantifying the resulting uncertainty. We measure the uncertainty using the Wasserstein distance, and for a given input…

Systems and Control · Electrical Eng. & Systems 2025-06-13 Eduardo Figueiredo , Steven Adams , Peyman Mohajerin Esfahani , Luca Laurenti

The distributionally robust Markov Decision Process (MDP) approach asks for a distributionally robust policy that achieves the maximal expected total reward under the most adversarial distribution of uncertain parameters. In this paper, we…

Systems and Control · Computer Science 2018-10-10 Zhi Chen , Pengqian Yu , William B. Haskell

This paper deals with the problem of formulating an adaptive Model Predictive Control strategy for constrained uncertain systems. We consider a linear system, in presence of bounded time varying additive uncertainty. The uncertainty is…

Systems and Control · Electrical Eng. & Systems 2021-04-13 Monimoy Bujarbaruah , Xiaojing Zhang , Marko Tanaskovic , Francesco Borrelli

Controllers for autonomous systems that operate in safety-critical settings must account for stochastic disturbances. Such disturbances are often modelled as process noise, and common assumptions are that the underlying distributions are…

Systems and Control · Electrical Eng. & Systems 2022-12-08 Thom S. Badings , Alessandro Abate , Nils Jansen , David Parker , Hasan A. Poonawala , Marielle Stoelinga

In this paper we discuss distributional robustness in the context of stochastic model predictive control (SMPC) for linear time-invariant systems. We derive a simple approximation of the MPC problem under an additive zero-mean i.i.d. noise…

Optimization and Control · Mathematics 2023-03-07 Christoph Mark , Steven Liu
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