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Related papers: Quantitative Resilience of Linear Systems

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This paper introduces the notion of quantitative resilience of a control system. Following prior work, we study systems enduring a loss of control authority over some of their actuators. Such a malfunction results in actuators producing…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Jean-Baptiste Bouvier , Kathleen Xu , Melkior Ornik

To design critical systems engineers must be able to prove that their system can continue with its mission even after losing control authority over some of its actuators. Such a malfunction results in actuators producing possibly…

Systems and Control · Electrical Eng. & Systems 2023-04-06 Jean-Baptiste Bouvier , Kathleen Xu , Melkior Ornik

After a loss of control authority over thrusters of the Nauka module, the International Space Station lost attitude control for 45 minutes with potentially disastrous consequences. Motivated by this scenario, we investigate the continued…

Systems and Control · Electrical Eng. & Systems 2023-02-08 Jean-Baptiste Bouvier , Melkior Ornik

Critical systems must be designed resilient to all kinds of malfunctions. We are especially interested by the loss of control authority over actuators. This malfunction considers actuators producing uncontrolled and possibly undesirable…

Systems and Control · Electrical Eng. & Systems 2022-03-25 Jean-Baptiste Bouvier , Melkior Ornik

When a malfunction causes a control system to lose authority over a subset of its actuators, achieving a task may require spending additional energy in order to compensate for the effect of uncontrolled inputs. To understand this increase…

Optimization and Control · Mathematics 2025-05-13 Ram Padmanabhan , Melkior Ornik

In this paper, we quantify the resilience of nonlinear dynamical systems by studying the increased energy used by all inputs of a system that suffers a partial loss of control authority, either through actuator malfunctions or through…

Optimization and Control · Mathematics 2026-03-24 Ram Padmanabhan , Melkior Ornik

In this paper, we consider the notion of resilience of a dynamical system, defined by the maximum disturbance a controlled dynamical system can withstand while satisfying given temporal logic specifications. Given a dynamical system and a…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Youssef Ait Si , Ratnangshu Das , Negar Monir , Sadegh Soudjani , Pushpak Jagtap , Adnane Saoud

We consider the notion of resilience for cyber-physical systems, that is, the ability of the system to withstand adverse events while maintaining acceptable functionality. We use finite temporal logic to express the requirements on the…

Systems and Control · Electrical Eng. & Systems 2024-05-01 Adnane Saoud , Pushpak Jagtap , Sadegh Soudjani

The vast majority of today's critical infrastructure is supported by numerous feedback control loops and an attack on these control loops can have disastrous consequences. This is a major concern since modern control systems are becoming…

Optimization and Control · Mathematics 2014-12-23 Hamza Fawzi , Paulo Tabuada , Suhas Diggavi

The ever increasing complexity of real-time control systems results in significant deviations in the timing of sensing and actuation, which may lead to degraded performance or even instability. In this paper we present a method to analyze…

Systems and Control · Electrical Eng. & Systems 2020-04-27 Maximilian Gaukler , Günter Roppenecker , Peter Ulbrich

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

The robust tracking and model following problem of linear discrete-time systems is investigated in this paper. An approach to design robust tracking controllers is proposed. The system is controlled to track dynamic inputs generated from a…

Systems and Control · Computer Science 2016-07-12 Omar Zakary , Mostafa Rachik

In this paper quotients of control systems which are generalizations of system reductions are used to study the stabilizability property of non-linear systems. Given a control system and its quotient we study under what conditions…

Systems and Control · Computer Science 2019-03-20 Tinashe Chingozha , Otis T. Nyandoro , Anton van Wyk

We consider bounded extremum seeking controls for time-varying linear systems with uncertain coefficient matrices and measurement uncertainty. Using a new change of variables, Lyapunov functions, and a comparison principle, we provide…

Optimization and Control · Mathematics 2025-01-20 Frederic Mazenc , Michael Malisoff , Emilia Fridman

Resiliency has garnered attention in the management of critical infrastructure as a metric of system performance, but there are significant roadblocks to its implementation in a realistic decision-making framework. Contrasted to risk and…

Systems and Control · Electrical Eng. & Systems 2026-01-08 Vincent P. Paglioni , Graeme Troxell , Aaron Brown , Steve Conrad , Mazdak Arabi

We introduce system norms which assess transient behavior of stable Linear Time-Invariant (LTI) systems. This allows us to address undesired responses to initial conditions, finite resource consumption signals, or persistent perturbations.…

Optimization and Control · Mathematics 2025-09-23 Pierre Apkarian , Dominikus Noll

In this paper, a resilient controller is designed for the linear time-invariant (LTI) systems subject to attacks on the sensors and the actuators. A novel probabilistic attack model is proposed to capture vulnerabilities of the…

Systems and Control · Computer Science 2018-07-19 Amirsina Torfi

We present two related anytime algorithms for control of nonlinear systems when the processing resources available are time-varying. The basic idea is to calculate tentative control input sequences for as many time steps into the future as…

Optimization and Control · Mathematics 2013-08-09 Daniel E. Quevedo , Vijay Gupta

We present a method to quantify a system's resilience capacity, i.e., the set of degradation magnitudes for which all functional requirements remain satisfied. These requirements come from human stakeholders (e.g., operators, planners) who…

Optimization and Control · Mathematics 2026-04-15 Ion Matei , Maksym Zhenirovskyy

In this paper, we take a control-theoretic approach to answering some standard questions in statistical mechanics, and use the results to derive limitations of classical measurements. A central problem is the relation between systems which…

Dynamical Systems · Mathematics 2016-11-17 Henrik Sandberg , Jean-Charles Delvenne , John C. Doyle
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