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The stabilization of nonlinear systems under zero-state-detectability assumption or its analogues is considered. The proposed supervisory control provides a finite time practical stabilization of output and it is based on uniting local and…

Optimization and Control · Mathematics 2013-04-16 Denis Efimov , Alexander L. Fradkov

Maintaining numerical stability in machine learning models is crucial for their reliability and performance. One approach to maintain stability of a network layer is to integrate the condition number of the weight matrix as a regularizing…

Machine Learning · Computer Science 2024-10-02 Rossen Nenov , Daniel Haider , Peter Balazs

The existence of adversarial data examples has drawn significant attention in the deep-learning community; such data are seemingly minimally perturbed relative to the original data, but lead to very different outputs from a deep-learning…

Machine Learning · Computer Science 2019-11-12 Bai Li , Changyou Chen , Wenlin Wang , Lawrence Carin

This work presents a control-oriented identification scheme for efficient control design and stability analysis of nonlinear systems. Neural networks are used to identify a discrete-time nonlinear state-space model to approximate…

Systems and Control · Electrical Eng. & Systems 2024-10-04 Maxime Thieffry , Alexandre Hache , Mohamed Yagoubi , Philippe Chevrel

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

A state-of-the-art strategy for digitally representing a bandlimited signal $f$ is $\Sigma\Delta$ quantization. $\Sigma\Delta$ quantization schemes choose a bit sequence $(q_n)$ representing the samples $(y_n)$ of $f$ sequentially based on…

Information Theory · Computer Science 2026-05-19 Rohan Joy , Felix Krahmer , Alessandro Lupoli

We consider the joint design of control and scheduling under stochastic Denial-of-Service (DoS) attacks in the context of networked control systems. A sensor takes measurements of the system output and forwards its dynamic state estimates…

Systems and Control · Electrical Eng. & Systems 2022-04-12 Jingyi Lu , Daniel E. Quevedo

This paper studies the problem of stabilizing a continuous-time switched linear system by quantized output feedback. We assume that the quantized outputs and the switching signal are available to the controller at all time. We develop an…

Systems and Control · Computer Science 2014-03-20 Masashi Wakaiki , Yutaka Yamamoto

Adversarial examples are perturbed inputs that are designed (from a deep learning network's (DLN) parameter gradients) to mislead the DLN during test time. Intuitively, constraining the dimensionality of inputs or parameters of a network…

Machine Learning · Computer Science 2019-06-04 Priyadarshini Panda , Indranil Chakraborty , Kaushik Roy

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

Many recent works on stabilization of nonlinear systems target the case of locally stabilizing an unstable steady state solutions against small perturbation. In this work we explicitly address the goal of driving a system into a…

Dynamical Systems · Mathematics 2020-03-11 Peter Benner , Jan Heiland

This paper studies the stabilization problem of networked control systems (NCSs) with random packet dropouts caused by stochastic channels. To describe the effects of stochastic channels on the information transmission, the transmission…

Systems and Control · Electrical Eng. & Systems 2024-01-23 Wei Ren , Wei Wang , Zhuo-Rui Pan , Xi-Ming Sun , Andrew R. Teel , Dragan Nesic

We consider the problem of estimating the state of a noisy linear dynamical system when an unknown subset of sensors is arbitrarily corrupted by an adversary. We propose a secure state estimation algorithm, and derive (optimal) bounds on…

Optimization and Control · Mathematics 2016-11-17 Shaunak Mishra , Yasser Shoukry , Nikhil Karamchandani , Suhas Diggavi , Paulo Tabuada

This paper deals with input/output-to-state stability (IOSS) of switched nonlinear systems in the discrete-time setting. We present an algorithm to construct periodic switching signals that obey pre-specified restrictions on admissible…

Optimization and Control · Mathematics 2021-06-01 Atreyee Kundu

We study the stabilization of an unpredictable linear control system where the controller must act based on a rate-limited observation of the state. More precisely, we consider the system $X_{n+1} = A_n X_n + W_n - U_n$, where the $A_n$'s…

Systems and Control · Computer Science 2018-05-16 Victoria Kostina , Yuval Peres , Gireeja Ranade , Mark Sellke

This paper deals with the problem of providing a data-driven solution to the local stabilization of linear systems subject to input saturation. After presenting a model-based solution to this well-studied problem, a systematic method to…

Systems and Control · Electrical Eng. & Systems 2023-03-09 Alexandre Seuret , Sophie Tarbouriech

We consider a synthesis problem for a remotely controlled linear system where the communication is constrained because of the shared and unreliable nature of the channel. Modeling the constraints by a periodic transmission scheme and random…

Optimization and Control · Mathematics 2008-06-24 Hideaki Ishii

This paper develops a homogeneity-based approach to finite/fixed-time stabilization of linear time-invariant (LTI) system with quantized measurements. A sufficient condition for finite/fixed-time stabilization of multi-input LTI system…

Optimization and Control · Mathematics 2023-09-07 Yu Zhou , Andrey Polyakov , Gang Zheng

The paper examines questions of local asymptotic stability of random dynamical systems. Results concerning stochastic dynamics in general metric spaces, as well as in Banach spaces, are obtained. The results pertaining to Banach spaces are…

Dynamical Systems · Mathematics 2015-03-17 Igor V. Evstigneev , Sergey A. Pirogov , Klaus R. Schenk-Hoppé

This paper addresses the problem of exponential practical stabilization of linear time-invariant systems with disturbances using event-triggered control and bounded communication bit rate. We consider both the case of instantaneous…

Systems and Control · Computer Science 2015-10-16 Pavankumar Tallapragada , Jorge Cortes