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This paper studies the synthesis of control policies for an agent that has to satisfy a temporal logic specification in a partially observable environment, in the presence of an adversary. The interaction of the agent (defender) with the…

Systems and Control · Electrical Eng. & Systems 2020-11-09 Bhaskar Ramasubramanian , Luyao Niu , Andrew Clark , Linda Bushnell , Radha Poovendran

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

The reliability of autonomous systems depends on their robustness, i.e., their ability to meet their objectives under uncertainty. In this paper, we study spatiotemporal robustness of temporal logic specifications evaluated over…

Artificial Intelligence · Computer Science 2026-05-19 Oliver Schön , Lars Lindemann

This paper introduces operators, semantics, characterizations, and solution-independent conditions to guarantee temporal logic specifications for hybrid dynamical systems. Hybrid dynamical systems are given in terms of differential…

Systems and Control · Electrical Eng. & Systems 2020-06-17 Hyejin Han , Ricardo G. Sanfelice

Controlling complex dynamical systems has been a topic of considerable interest in academic circles in recent decades. While existing works have primarily focused on closed-loop control schemes with infinite-time durations, this paper…

Optimization and Control · Mathematics 2025-01-08 Xiaoxiao Peng , Shijie Zhou

The deployment of autonomous systems in uncertain and dynamic environments has raised fundamental questions. Addressing these is pivotal to build fully autonomous systems and requires a systematic integration of planning and control. We…

Systems and Control · Electrical Eng. & Systems 2021-09-08 Lars Lindemann , George J. Pappas , Dimos V. Dimarogonas

In this paper, we discuss our recent works on the null-controllability, the exact controllability, and the stabilization of linear hyperbolic systems in one dimensional space using boundary controls on one side for the optimal time. Under…

Optimization and Control · Mathematics 2020-12-11 Jean-Michel Coron , Hoai-Minh Nguyen

For nonlinear discrete time systems satisfying a controllability condition, we present a stability condition for model predictive control without stabilizing terminal constraints or costs. The condition is given in terms of an analytical…

Optimization and Control · Mathematics 2012-04-02 Lars Grüne , Jürgen Pannek , Martin Seehafer , Karl Worthmann

Motivated by the recent interest in risk-aware control, we study a continuous-time control synthesis problem to bound the risk that a stochastic linear system violates a given specification. We use risk signal temporal logic as a…

Systems and Control · Electrical Eng. & Systems 2022-04-12 Sleiman Safaoui , Lars Lindemann , Iman Shames , Tyler H. Summers

Symbolic control problems aim to synthesize control policies for dynamical systems under complex temporal specifications. For such problems, Signal Temporal Logic (STL) is increasingly used as the formal specification language due to its…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Shirantha Welikala , Hai Lin , Panos J. Antsaklis

This paper considers the problem of designing a continuous-time dynamical system that solves a constrained nonlinear optimization problem and makes the feasible set forward invariant and asymptotically stable. The invariance of the feasible…

Optimization and Control · Mathematics 2024-08-27 Ahmed Allibhoy , Jorge Cortés

We propose an approach to design a Model Predictive Controller (MPC) for constrained Linear Time Invariant systems performing an iterative task. The system is subject to an additive disturbance, and the goal is to learn to satisfy state and…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Monimoy Bujarbaruah , Akhil Shetty , Kameshwar Poolla , Francesco Borrelli

Many algorithms have been proposed in prior literature to guarantee resilient multi-agent consensus in the presence of adversarial attacks or faults. The majority of prior work present excellent results that focus on discrete-time or…

Systems and Control · Electrical Eng. & Systems 2020-03-23 James Usevitch , Dimitra Panagou

We will show that there is a universal connection between the achievable closed-loop dynamics and the corresponding feedback controller that produces it. This connection shows promise to lead to new methods for robust nonlinear control in…

Systems and Control · Electrical Eng. & Systems 2020-04-20 Dimitar Ho

Time distributed optimization is an implementation strategy that can significantly reduce the computational burden of model predictive control by exploiting its robustness to incomplete optimization. When using this strategy, optimization…

Optimization and Control · Mathematics 2020-04-14 Dominic Liao-McPherson , Marco Nicotra , Ilya Kolmanovsky

Fault tolerance is increasingly important for unmanned autonomous vehicles. For example, in a multi robot system the agents need the ability to effectively detect and tolerate internal failures in order to continue performing their tasks…

Combinatorics · Mathematics 2016-05-02 S. Bereg , L. E. Caraballo , J. M. Díaz-Báñez , M. A. Lopez

We consider the problem of steering a system with unknown, stochastic dynamics to satisfy a rich, temporally layered task given as a signal temporal logic formula. We represent the system as a Markov decision process in which the states are…

Systems and Control · Computer Science 2015-10-23 Austin Jones , Derya Aksaray , Zhaodan Kong , Mac Schwager , Calin Belta

This paper investigates the finite time stabilization problem for a class of nonlinear systems with unknown control directions and unstructured uncertainties. The unstructured uncertainties indicate that not only the parameters but also the…

Systems and Control · Electrical Eng. & Systems 2024-10-30 Shiqi Zheng , Shihao Wang , Xiang Chen , Yuanlong Xie

Model Predictive Control is an extremely effective control method for systems with input and state constraints. Model Predictive Control performance heavily depends on the accuracy of the open-loop prediction. For systems with uncertainty…

Optimization and Control · Mathematics 2022-07-27 Francesco Micheli , John Lygeros

This paper studies the design of controllers for discontinuous dynamics that ensure the safety of non-smooth sets. The safe set is represented by arbitrarily nested unions and intersections of 0-superlevel sets of differentiable functions.…

Systems and Control · Electrical Eng. & Systems 2024-12-23 Mohammed Alyaseen , Nikolay Atanasov , Jorge Cortes