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The `security index' of a discrete-time LTI system under sensor attacks is introduced as a quantitative measure on the security of an observable system. We derive ideas from error control coding theory to provide sufficient conditions for…

Systems and Control · Computer Science 2016-08-26 Michelle S. Chong , Margreta Kuijper

State estimation for linear time-invariant systems with unknown inputs is a fundamental problem in various research domains. In this article, we establish conditions for the design of unknown input observers (UIOs) from a geometric approach…

Systems and Control · Electrical Eng. & Systems 2025-09-12 Ruixuan Zhao , Guitao Yang , Peng Li , Boli Chen

This work introduces a learning-enhanced observer (LEO) for linear time-invariant systems with uncertain dynamics. Rather than relying solely on nominal models, the proposed framework treats the system matrices as optimizable variables and…

Machine Learning · Computer Science 2025-11-21 Hao Shu

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 considers the problem of designing interval observers for hidden mode switched nonlinear systems with bounded noise signals that are compromised by false data injection and switching attacks. The proposed observer consists of…

Systems and Control · Electrical Eng. & Systems 2021-11-04 Mohammad Khajenejad , Zeyuan Jin , Sze Zheng Yong

In this paper we consider the distributed estimation problem for continuous-time linear time-invariant (LTI) systems. A single linear plant is observed by a network of local observers. Each local observer in the network has access to only…

Optimization and Control · Mathematics 2017-08-08 Weixin Han , Harry L. Trentelman , Zhenhua Wang , Yi Shen

This paper considers a strongly connected network of agents, each capable of partially observing and controlling a discrete-time linear time-invariant (LTI) system that is jointly observable and controllable. Additionally, agents…

Systems and Control · Electrical Eng. & Systems 2024-02-29 Camilla Fioravanti , Evagoras Makridis , Gabriele Oliva , Maria Vrakopoulou , Themistoklis Charalambous

We address the problem of attack detection and attack correction for multi-output discrete-time linear time-invariant systems under sensor attack. More specifically, we focus on the situation where adversarial attack signals are added to…

Signal Processing · Electrical Eng. & Systems 2017-11-16 Zhanghan Tang , Margreta Kuijper , Michelle Chong , Iven Mareels , Chris Leckie

In this work, we focus on analyzing vulnerability of nonlinear dynamical control systems to stealthy false data injection attacks on sensors. We start by defining the stealthiness notion in the most general form where an attack is…

Systems and Control · Electrical Eng. & Systems 2023-10-10 Amir Khazraei , Miroslav Pajic

This paper presents a framework on minimal-order appointed-time unknown input observers for linear systems based on the pairwise observer structure. A minimal-order appointed-time observer is first proposed for the linear system without the…

Systems and Control · Electrical Eng. & Systems 2022-10-07 Yuezu Lv , Zhongkui Li , Zhisheng Duan

Predicting the state of a system in a relatively near future time instant is often needed for control purposes. However, when the system is affected by external disturbances, its future state is dependent on the forthcoming disturbance;…

Systems and Control · Electrical Eng. & Systems 2020-11-03 Alberto Castillo , Pedro Garcia

This paper presents a low-dimensional observer design for stable, single-input single-output, continuous-time linear time-invariant (LTI) systems. Leveraging the model reduction by moment matching technique, we approximate the system with a…

Systems and Control · Electrical Eng. & Systems 2025-08-04 M. F. Shakib , M. Khalil , R. Postoyan

We study the problem of designing interval-valued observers that simultaneously estimate the system state and learn an unknown dynamic model for partially unknown nonlinear systems with dynamic unknown inputs and bounded noise signals.…

Systems and Control · Electrical Eng. & Systems 2020-04-09 Mohammad Khajenejad , Zeyuan Jin , Sze Zheng Yong

In this paper we consider estimating the system parameters and designing stable observer for unknown noisy linear time-invariant (LTI) systems. We propose a Support Vector Regression (SVR) based estimator to provide adjustable asymmetric…

Systems and Control · Electrical Eng. & Systems 2022-05-17 Xuda Ding , Han Wang , Jianping He , Cailian Chen , Xinping Guan

We consider the distributed $H_\infty$ estimation problem with an additional requirement of resilience to biasing attacks. An attack scenario is considered where an adversary misappropriates some of the observer nodes and injects biasing…

Systems and Control · Electrical Eng. & Systems 2019-06-18 Valery Ugrinovskii

This paper furthers current research into the notion of guaranteed privacy, which provides a deterministic characterization of the privacy of output signals of a dynamical system or mechanism. Unlike stochastic differential privacy,…

Systems and Control · Electrical Eng. & Systems 2024-09-12 Mohammad Khajenejad , Sonia Martinez

A network of observers is considered, where through asynchronous (with bounded delay) communications, they cooperatively estimate the states of a Linear Time-Invariant (LTI) system. In such a setting, a new type of adversary might affect…

Cryptography and Security · Computer Science 2022-08-30 Mostafa Safi

In this paper, an attack-resilient estimation algorithm is presented for linear discrete-time stochastic systems with state and input constraints. It is shown that the state estimation errors of the proposed estimation algorithm are…

Optimization and Control · Mathematics 2019-03-21 Wenbin Wan , Hunmin Kim , Naira Hovakimyan , Petros G. Voulgaris

For LTI control systems, we provide mathematical tools - in terms of Linear Matrix Inequalities - for computing outer ellipsoidal bounds on the reachable sets that attacks can induce in the system when they are subject to the physical…

Systems and Control · Computer Science 2017-10-10 Sahand Hadizadeh Kafash , Jairo Giraldo , Carlos Murguia , Alvaro A. Cardenas , Justin Ruths

The security of control systems under sensor attacks is investigated. Redundant observability is introduced, explaining existing security notions including the security index, attack detectability, and observability under attacks.…

Systems and Control · Computer Science 2021-01-11 Chanhwa Lee , Hyungbo Shim , Yongsoon Eun