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This paper proposes a novel control framework for handling (potentially coupled) multiple time-varying output constraints for uncertain nonlinear systems. First, it is shown that the satisfaction of multiple output constraints boils down to…

Systems and Control · Electrical Eng. & Systems 2025-01-08 Farhad Mehdifar , Lars Lindemann , Charalampos P. Bechlioulis , Dimos V. Dimarogonas

This paper studies the controller synthesis problem for nonlinear control systems under linear temporal logic (LTL) specifications using zonotope techniques. A local-to-global control strategy is proposed for the desired specification…

Systems and Control · Electrical Eng. & Systems 2024-05-03 Wei Ren , Raphael M. Jungers , Dimos V. Dimarogonas

We develop an algorithm for the motion and task planning of a system comprised of multiple robots and unactuated objects under tasks expressed as Linear Temporal Logic (LTL) constraints. The robots and objects evolve subject to uncertain…

Systems and Control · Electrical Eng. & Systems 2022-04-26 Christos K. Verginis , Yiannis Kantaros , Dimos V. Dimarogonas

Problem of time-optimal control of linear systems with fractional dynamics is treated in the paper from the convex-analytic standpoint. A linear system of fractional differential equations involving Riemann--Liouville derivatives is…

Optimization and Control · Mathematics 2020-07-02 Ivan Matychyn

In this paper we address the actuator/sensor allocation problem for linear time invariant (LTI) systems. Given the structure of an autonomous linear dynamical system, the goal is to design the structure of the input matrix (commonly denoted…

Systems and Control · Computer Science 2012-10-26 Sergio Pequito , Soummya Kar , A. Pedro Aguiar

This paper describes a method for converting formulas in finite propositional linear-time temporal logic (Finite LTL) into finite-state automata whose languages are the models of the given formula. Finite LTL differs from traditional LTL in…

Logic in Computer Science · Computer Science 2020-06-23 Samuel Huang , Rance Cleaveland

Temporal Logic (TL) guided control problems have gained interests in recent years. By using the TL, one can specify a wide range of temporal constraints on the system and is widely used in cyber-physical systems. On the other hand, Control…

Systems and Control · Computer Science 2019-03-12 Guang Yang , Roberto Tron , Calin Belta

In this paper we present a method for designing a linear time invariant (LTI) state-feedback controller to monotonically track a constant step reference at any desired rate of convergence for any initial condition. Necessary and sufficient…

Optimization and Control · Mathematics 2014-12-08 Lorenzo Ntogramatzidis , Jean-Francois Tregouet , Robert Schmid , Augusto Ferrante

Ensuring that reinforcement learning (RL) controllers satisfy safety and reliability constraints in real-world settings remains challenging: state-avoidance and constrained Markov decision processes often fail to capture trajectory-level…

Machine Learning · Computer Science 2026-04-06 Alper Kamil Bozkurt , Calin Belta , Ming C. Lin

Linear Time Invariant (LTI) systems are ubiquitous in control applications. Unbounded-time reachability analysis that can cope with industrial-scale models with thousands of variables is needed. To tackle this problem, we use abstract…

Systems and Control · Computer Science 2017-08-24 Dario Cattaruzza , Alessandro Abate , Peter Schrammel , Daniel Kroening

This paper deals with sliding mode control for multivariable polytopic uncertain systems. We provide systematic procedures to design variable structure controllers (VSCs) and unit-vector controllers (UVCs). Based on suitable representations…

Optimization and Control · Mathematics 2024-11-21 Pedro Henrique Silva Coutinho , Iury Bessa , Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira

This paper presents a general framework for the design of linear controllers for linear systems subject to time-domain constraints. The design framework exploits sums-of-squares techniques to incorporate the time-domain constraints on…

Optimization and Control · Mathematics 2012-05-04 W. H. T. M. Aangenent , W. P. M. H. Heemels , M. J. G. Van De Molengraft , Didier Henrion , Maarten Steinbuch

This paper presents a secure-by-construction planning and control framework for multi-agent systems subject to linear temporal logic (LTL) specifications. The framework protects sensitive information from a passive intruder with partial…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Georgios Mitsos , Dimos V. Dimarogonas , Siyuan Liu

We consider the problem of computing the set of initial states of a dynamical system such that there exists a control strategy to ensure that the trajectories satisfy a temporal logic specification with probability 1 (almost-surely). We…

Systems and Control · Computer Science 2015-02-24 Maria Svorenova , Jan Kretinsky , Martin Chmelik , Krishnendu Chatterjee , Ivana Cerna , Calin Belta

Iterative abstraction refinement techniques are one of the most prominent paradigms for the analysis and verification of systems with large or infinite state spaces. This paper investigates the changes of truth values of system properties…

Logic in Computer Science · Computer Science 2026-01-14 Jakob Piribauer , Vinzent Zschuppe

Discrete abstractions of continuous and hybrid systems have recently been the topic of great interest from both the control systems and the computer science communities, because they provide a sound mathematical framework for analysing and…

Optimization and Control · Mathematics 2010-06-16 Giordano Pola , Alessandro Borri , Maria D. Di Benedetto

Techniques for runtime verification often utilise specification languages that are (i) reasonably expressive, and (ii) relatively abstract (i.e. they operate on a level of abstraction that separates them from the system being monitored).…

Logic in Computer Science · Computer Science 2018-06-11 Joshua Heneage Dawes , Giles Reger

This paper proposes a method for abstracting control systems by timed game automata, and is aimed at obtaining automatic controller synthesis. The proposed abstraction is based on partitioning the state space of a control system using…

Systems and Control · Computer Science 2010-12-24 Christoffer Sloth , Rafael Wisniewski

We propose algorithms for performing model checking and control synthesis for discrete-time uncertain systems under linear temporal logic (LTL) specifications. We construct temporal logic trees (TLT) from LTL formulae via reachability…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Yulong Gao , Alessandro Abate , Frank J. Jiang , Mirco Giacobbe , Lihua Xie , Karl H. Johansson

This paper deals with designing a robust fixed-order dynamic output feedback controller for uncertain fractional order linear time invariant (FO-LTI) systems by means of linear matrix inequalities (LMIs). Our purpose is to design a low…

Optimization and Control · Mathematics 2018-02-22 Pouya Badri , Mahdi Sojoodi