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Temporal logics (TLs) have been widely used to formalize interpretable tasks for cyber-physical systems. Time Window Temporal Logic (TWTL) has been recently proposed as a specification language for dynamical systems. In particular, it can…

Formal Languages and Automata Theory · Computer Science 2023-04-14 Ahmad Ahmad , Cristian-Ioan Vasile , Roberto Tron , Calin Belta

We present an algorithm for robust model predictive control with consideration of uncertainty and safety constraints. Our framework considers a nonlinear dynamical system subject to disturbances from an unknown but bounded uncertainty set.…

Optimization and Control · Mathematics 2021-04-23 Dongchan Lee , Konstantin Turitsyn , Jean-Jacques Slotine

We consider robust control synthesis for linear systems with complex specifications that are affected by uncertain disturbances. This work is motivated by autonomous systems interacting with partially known, time-varying environments. Given…

Optimization and Control · Mathematics 2018-08-27 Damian Frick , Tony A. Wood , Gian Ulli , Maryam Kamgarpour

In this paper, we consider the problem of controlling a dynamical system such that its trajectories satisfy a temporal logic property in a given amount of time. We focus on multi-affine systems and specifications given as syntactically…

Systems and Control · Computer Science 2012-03-27 Ebru Aydin Gol , Calin Belta

This paper addresses the challenge of ensuring robustness in the presence of system perturbations for symbolic control techniques. Given a discrete-time control system that is related to its symbolic model by an alternating simulation…

Systems and Control · Electrical Eng. & Systems 2025-07-17 Youssef Ait Si , Antoine Girard , Adnane Saoud

We study the problem of controlling multi-agent systems under a set of signal temporal logic tasks. Signal temporal logic is a formalism that is used to express time and space constraints for dynamical systems. Recent methods to solve the…

Systems and Control · Electrical Eng. & Systems 2020-11-26 Lars Lindemann , Dimos V. Dimarogonas

In this paper we present a framework for risk-sensitive model predictive control (MPC) of linear systems affected by stochastic multiplicative uncertainty. Our key innovation is to consider a time-consistent, dynamic risk evaluation of the…

Optimization and Control · Mathematics 2018-04-26 Sumeet Singh , Yin-Lam Chow , Anirudha Majumdar , Marco Pavone

This paper proposes a specification-guided framework for control of nonlinear systems with linear temporal logic (LTL) specifications. In contrast with well-known abstraction-based methods, the proposed framework directly characterizes the…

Systems and Control · Electrical Eng. & Systems 2022-05-03 Yinan Li , Zhibing Sun , Jun Liu

The control of dynamical systems under temporal logic specifications among uncontrollable dynamic agents is challenging due to the agents' a-priori unknown behavior. Existing works have considered the problem where either all agents are…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Xinyi Yu , Yiqi Zhao , Xiang Yin , Lars Lindemann

A robust model predictive control (MPC) method is presented for linear, time-invariant systems affected by bounded additive disturbances. The main contribution is the offline design of a disturbance-affine feedback gain whereby the…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Anilkumar Parsi , Panagiotis Anagnostaras , Andrea Iannelli , Roy S. Smith

Discrete-time stochastic systems with continuous spaces are hard to verify and control, even with MDP abstractions due to the curse of dimensionality. We propose an abstraction-based framework with robust dynamic programming mappings that…

Systems and Control · Electrical Eng. & Systems 2026-05-13 Ruohan Wang , Siyuan Liu , Zhiyong Sun , Sofie Haesaert

In this paper, we study a class of finite-time control problems for discrete-time positive linear systems with time-varying state parameters. Although several interesting control problems appearing in population biology, economics, and…

Systems and Control · Electrical Eng. & Systems 2020-08-04 Chengyan Zhao , Masaki Ogura , Kenji Sugimoto

The wide availability of data coupled with the computational advances in artificial intelligence and machine learning promise to enable many future technologies such as autonomous driving. While there has been a variety of successful…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Lars Lindemann , Lejun Jiang , Nikolai Matni , George J. Pappas

This paper proposes a model predictive controller for discrete-time linear systems with additive, possibly unbounded, stochastic disturbances and subject to chance constraints. By computing a polytopic probabilistic positively invariant set…

Optimization and Control · Mathematics 2024-09-23 Kai Wang , Kiet Tuan Hoang , Sébastien Gros

We consider the problem of stabilization of a linear system, under state and control constraints, and subject to bounded disturbances and unknown parameters in the state matrix. First, using a simple least square solution and available…

Systems and Control · Electrical Eng. & Systems 2020-07-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

We present a framework to interpret signal temporal logic (STL) formulas over discrete-time stochastic processes in terms of the induced risk. Each realization of a stochastic process either satisfies or violates an STL formula. In fact, we…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Lars Lindemann , Nikolai Matni , George J. Pappas

This paper introduces a generalized mean-based C^1-smooth robustness measure over discrete-time signals (D-GMSR) for signal temporal logic (STL) specifications. In conjunction with its C1-smoothness, D-GMSR is proven to be both sound and…

Optimization and Control · Mathematics 2024-05-21 Samet Uzun , Purnanand Elango , Pierre-Loic Garoche , Behcet Acikmese

This paper considers receding horizon control of finite deterministic systems, which must satisfy a high level, rich specification expressed as a linear temporal logic formula. Under the assumption that time-varying rewards are associated…

Optimization and Control · Mathematics 2012-03-14 Xuchu Ding , Mircea Lazar , Calin Belta

Temporal logic rules are often used in control and robotics to provide structured, human-interpretable descriptions of trajectory data. These rules have numerous applications including safety validation using formal methods, constraining…

Machine Learning · Computer Science 2025-04-29 Emi Soroka , Rohan Sinha , Sanjay Lall

A comprehensive theory for robust PID control in continuous-time and discrete-time domain is reviewed in this paper. For a given finite set of linear time invariant plants, algorithms for fast computation of robustly stabilizing regions in…

Systems and Control · Computer Science 2013-03-05 Naim Bajcinca