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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

A classic reachability problem for safety of dynamic systems is to compute the set of initial states from which the state trajectory is guaranteed to stay inside a given constraint set over a given time horizon. In this paper, we leverage…

In this paper, we present a novel framework for quantifying a lower bound on resilience in continuous-time (non)linear systems subject to external disturbances while ensuring satisfaction of signal temporal logic specifications. Unlike…

Systems and Control · Electrical Eng. & Systems 2026-04-17 Ratnangshu Das , Negar Monir , Youssef Ait Si , Adnane Saoud , Sadegh Soudjani , Pushpak Jagtap

Mixed-criticality systems combine real-time components of different levels of criticality, i.e. severity of failure, on the same processor, in order to obtain good resource utilisation. They must guarantee deadlines of highly-critical tasks…

Operating Systems · Computer Science 2016-06-03 Anna Lyons , Gernot Heiser

This paper investigates the control barrier function (CBF) based safety-critical control for continuous nonlinear control affine systems using the more efficient online algorithms through time-varying optimization. The idea lies in that…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Shengbo Wang , Shiping Wen , Yin Yang , Yuting Cao , Kaibo Shi , Tingwen Huang

Any autonomous controller will be unsafe in some situations. The ability to quantitatively identify when these unsafe situations are about to occur is crucial for drawing timely human oversight in, e.g., freight transportation applications.…

Machine Learning · Computer Science 2024-10-10 Alexander Grushin , Walt Woods , Alvaro Velasquez , Simon Khan

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

In this paper a new concept, namely the critical predictable time $T_c$, is introduced to give a more precise description of computed chaotic solutions of nonlinear differential equations: it is suggested that computed chaotic solutions are…

Chaotic Dynamics · Physics 2010-06-01 Shijun Liao

This work provides a framework to compute an upper bound on the robust peak-to-peak gain of discrete-time uncertain linear systems using integral quadratic constraints (IQCs). Such bounds are of particular interest in the computation of…

Systems and Control · Electrical Eng. & Systems 2022-11-18 Lukas Schwenkel , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

We study an industrial computer code related to nuclear safety. A major topic of interest is to assess the uncertainties tainting the results of a computer simulation. In this work we gain robustness on the quantification of a risk…

Methodology · Statistics 2019-08-29 Jerome Stenger , Fabrice Gamboa , Merlin Keller , Bertrand Iooss

We investigate critical quantum metrology,that is the estimation of parameters in many-body systems close to a quantum critical point, through the lens of Bayesian inference theory. We first derive a no-go result stating that any…

Quantum Physics · Physics 2023-10-31 Raffaele Salvia , Mohammad Mehboudi , Martí Perarnau-Llobet

Resilient systems are able to recover quickly and easily from disturbed system states that might result from hazardous events or malicious attacks. In this paper a novel resilience metric for linear time invariant systems is proposed: the…

Systems and Control · Electrical Eng. & Systems 2021-08-23 Johannes Börner , Florian Steinke

Estimating and detecting faults is crucial in ensuring safe and efficient automated systems. In the presence of disturbances, noise or varying system dynamics, such estimation is even more challenging. To address this challenge, this…

Optimization and Control · Mathematics 2021-12-13 Chris van der Ploeg , Emilia Silvas , Nathan van de Wouw , Peyman Mohajerin Esfahani

In this paper, we address the problem of computing the maximal admissible robust positive invariant (MARPI) set for discrete-time linear time-varying systems with parametric uncertainties and additive disturbances. The system state and…

Optimization and Control · Mathematics 2024-06-26 Anchita Dey , Shubhendu Bhasin

The tight coupling between communication and control in cyber-physical systems is necessary to enable the complex regulation required to operate these systems. Unfortunately, cyberattackers can exploit network vulnerabilities to compromise…

Systems and Control · Electrical Eng. & Systems 2025-07-25 Amr S. Mohamed , Mohsen Khalaf , Deepa Kundur

We address the problem of robust state estimation of a class of discrete-time nonlinear systems with positive-slope nonlinearities when the sensors are corrupted by (potentially unbounded) attack signals and bounded measurement noise. We…

Signal Processing · Electrical Eng. & Systems 2018-09-21 Tianci Yang , Carlos Murguia , Margreta Kuijper , Dragan Nešić

In this paper, we propose a novel Control Barrier Function (CBF) based controller for nonlinear systems with complex, time-varying input constraints. To deal with these constraints, we introduce an auxiliary control input to transform the…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Yaosheng Deng , Yang Bai , Yujie Wang , Masaki Ogura , Mir Feroskhan

The goal of this paper is to assess the robustness of an uncertain linear time-varying (LTV) system on a finite time horizon. The uncertain system is modeled as a connection of a known LTV system and a perturbation. The input/output…

Systems and Control · Computer Science 2025-08-05 Peter Seiler , Robert Moore , Chris Meissen , Murat Arcak , Andrew Packard

Risk is the best known and perhaps the best studied example within a much broader class of cyber security metrics. However, risk is not the only possible cyber security metric. Other metrics such as resilience can exist and could be…

Cryptography and Security · Computer Science 2015-12-31 Zachary A. Collier , Mahesh Panwar , Alexander A. Ganin , Alex Kott , Igor Linkov

For discrete time nonlinear systems satisfying an exponential or finite time controllability assumption, we present an analytical formula for a suboptimality estimate for model predictive control schemes without stabilizing terminal…

Optimization and Control · Mathematics 2011-09-27 Lars Grüne , Jürgen Pannek , Martin Seehafer , Karl Worthmann