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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

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

The wide deployment of renewable generation and the gradual decrease in the overall system inertia make modern power grids more vulnerable to transient instabilities and unacceptable frequency fluctuations. Time-domain simulation-based…

Optimization and Control · Mathematics 2020-03-03 Dongchan Lee , Liviu Aolaritei , Thanh Long Vu , Konstantin Turitsyn

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

This paper addresses the problem of distributed resilient state estimation and control for linear time-invariant systems in the presence of malicious false data injection sensor attacks and bounded noise. We consider a system operator…

Systems and Control · Electrical Eng. & Systems 2025-07-17 Takumi Shinohara , Karl H. Johansson , Henrik Sandberg

The robust instability of an unstable plant subject to stable perturbations is of significant importance and arises in the study of sustained oscillatory phenomena in nonlinear systems. This paper analyzes the robust instability of linear…

Systems and Control · Electrical Eng. & Systems 2024-07-08 Chung-Yao Kao , Sei Zhen Khong , Shinji Hara , Yu-Jen Lin

Motivated by the design question of additional fuel needed to complete a task in an uncertain environment, this paper introduces metrics to quantify the maximal additional energy used by a control system in the presence of bounded…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Ram Padmanabhan , Craig Bakker , Siddharth Abhijit Dinkar , Melkior Ornik

We present an approach to compute stabilizing controllers for continuous-time linear time-invariant systems directly from an input-output trajectory affected by process and measurement noise. The proposed output-feedback design combines (i)…

Systems and Control · Electrical Eng. & Systems 2025-11-17 Alessandro Bosso , Marco Borghesi , Andrea Iannelli , Bowen Yi , Giuseppe Notarstefano

Interconnected systems such as power systems and chemical processes are often required to satisfy safety properties in the presence of faults and attacks. Verifying safety of these systems, however, is computationally challenging due to…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Luyao Niu , Abdullah Al Maruf , Andrew Clark , J. Sukarno Mertoguno , Radha Poovendran

Engineered systems naturally experience large disturbances that can disrupt desired operation because the system may fail to recover to a stable equilibrium point. It is valuable to determine the mechanism of instability when the system is…

Systems and Control · Electrical Eng. & Systems 2025-03-18 Jinghan Wang , Michael W. Fisher

Recently developed control methods with strong disturbance rejection capabilities provide a useful option for control design. The key lies in a general concept of disturbance and effective ways to estimate and compensate the disturbance.…

Optimization and Control · Mathematics 2018-01-19 Wuhua Hu , Eduardo F. Camacho , Lihua Xie

We study the stability properties of a control system composed of a dynamical plant and a feedback controller, the latter generating control signals that can be compromised by a malicious attacker. We consider two classes of feedback…

Optimization and Control · Mathematics 2023-12-19 Felipe Galarza-Jimenez , Gianluca Bianchin , Jorge I. Poveda , Emiliano Dall'Anese

Wide-area control is an effective mean to reduce inter-area oscillations of large power systems. Its dependence on communication of remote measurement signals makes the closed-loop system vulnerable to cyber attacks. This paper develops a…

Optimization and Control · Mathematics 2016-04-20 Yueyun Lu , Chin-Yao Chang , Wei Zhang , Laurentiu D. Marinovici , Antonio J. Conejo

This article proposes an approach to design output-feedback controllers for unknown continuous-time linear time-invariant systems using only input-output data from a single experiment. To address the lack of state and derivative…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Alessandro Bosso , Marco Borghesi , Andrea Iannelli , Giuseppe Notarstefano , Andrew R. Teel

The robust stability problem involves designing a controlled system which remains stable in the presence of modeling uncertainty. In this context, results known as small gain theorems are used to quantify the maximum amount of uncertainty…

Optimization and Control · Mathematics 2026-04-01 Gavin Glenn , Emma J. Reid

The stabilization of uncertain LTI/LPV time delay systems with time varying delays by state-feedback controllers is addressed. At the difference of other works in the literature, the proposed approach allows for the synthesis of resilient…

Systems and Control · Computer Science 2012-04-06 Corentin Briat , Olivier Sename , Jean-François Lafay

We propose a new method for controlling linear dynamical systems under adversarial disturbances and cost functions. Our algorithm achieves a running time that scales polylogarithmically with the inverse of the stability margin, improving…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Anand Brahmbhatt , Gon Buzaglo , Sofiia Druchyna , Elad Hazan

The electric distribution system is a cornerstone of modern life, playing a critical role in the daily activities and well-being of individuals. As the world transitions toward a decarbonized future, where even mobility relies on…

Systems and Control · Electrical Eng. & Systems 2025-02-24 Shikhar Pandey , Gowtham Kandaperumal , Arslan Ahmad , Ian Dobson

This paper studies the robustness of observability of a linear time-invariant system under sensor failures from a computational perspective. To be precise, the problem of determining the minimum number of sensors whose removal can destroy…

Optimization and Control · Mathematics 2023-07-18 Yuan Zhang , Yuanqing Xia , Kun Liu

This paper addresses finite-time horizon optimal control of single-loop networked control systems with stochastically modeled communication channel and disturbances. To cope with the uncertainties, an optimization-based control scheme is…

Optimization and Control · Mathematics 2021-05-10 Jannik Hahn , Olaf Stursberg