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We investigate the incremental stability properties of It\^o stochastic dynamical systems. Specifically, we derive a stochastic version of nonlinear contraction theory that provides a bound on the mean square distance between any two…

最优化与控制 · 数学 2011-11-09 Q. -C. Pham , N. Tabareau , J. -J. Slotine

This paper addresses the problem of resilient state estimation and attack reconstruction for bounded-error nonlinear discrete-time systems with nonlinear observations/ constraints, where both sensors and actuators can be compromised by…

系统与控制 · 电气工程与系统科学 2023-09-26 Mohammad Khajenejad , Zeyuan Jin , Thach Ngoc Dinh , Sze Zheng Yong

Empirical modelling often aims for the simplest model consistent with the data. A new technique is presented which quantifies the consistency of the model dynamics as a function of location in state space. As is well-known, traditional…

混沌动力学 · 物理学 2009-11-10 Patrick E. McSharry , Leonard A. Smith

Utilization of noise for the control of a class of non-linear systems is presented. The application of state-multiplicative noise as a mean of control is far more limited then the use of standard determinis?tic gains. Nevertheless, so…

最优化与控制 · 数学 2025-05-14 Adrian-Mihail Stoica , Isaac Yaesh

The paper proposes an intermittent communication mechanism for the tracking consensus of high-order nonlinear multi-agent systems (MASs) surrounded by random disturbances. Each collaborating agent is described by a class of high-order…

系统与控制 · 电气工程与系统科学 2024-01-12 Ali Azarbahram

Consider an n-dimensional linear system where it is known that there are at most k<n non-zero components in the initial state. The observability problem, that is the recovery of the initial state, for such a system is considered. We obtain…

信息论 · 计算机科学 2012-04-17 Wei Dai , Serdar Yüksel

Event vision sensors (neuromorphic cameras) output sparse, asynchronous ON/OFF events triggered by log-intensity threshold crossings, enabling microsecond-scale sensing with high dynamic range and low data bandwidth. As a nonlinear system,…

计算机视觉与模式识别 · 计算机科学 2026-01-21 Nimrod Kruger , Nicholas Owen Ralph , Gregory Cohen , Paul Hurley

We extend the notion of estimation entropy of autonomous dynamical systems proposed by Liberzon and Mitra [1] to nonlinear dynamical systems with uncertain inputs with bounded variation. We call this new notion the {$\epsilon$}-estimation…

系统与控制 · 电气工程与系统科学 2023-11-14 Hussein Sibai , Sayan Mitra

We consider systems under uncertainty whose dynamics are partially unknown. Our aim is to study satisfaction of temporal logic properties by trajectories of such systems. We express these properties as signal temporal logic formulas and…

系统与控制 · 电气工程与系统科学 2020-05-12 Ali Salamati , Sadegh Soudjani , Majid Zamani

We study two problems. First, we consider the large deviation behavior of empirical measures of certain diffusion processes as, simultaneously, the time horizon becomes large and noise becomes vanishingly small. The law of large numbers…

概率论 · 数学 2023-09-14 Amarjit Budhiraja , Pavlos Zoubouloglou

We provide novel sufficient conditions for stability of nonlinear and time-varying impulsive systems. These conditions generalize, extend, and strengthen many existing results. Different types of input-to-state stability (ISS), as well as…

系统与控制 · 电气工程与系统科学 2019-12-11 José L. Mancilla-Aguilar , Hernan Haimovich , Petro Feketa

Recent studies on transportation networks have shown that real-time route guidance can inadvertently induce congestion or oscillatory traffic patterns. Nevertheless, such technologies also offer a promising opportunity to manage traffic…

系统与控制 · 电气工程与系统科学 2026-01-21 Shaya Garjani , Ashish Cherukuri , Bayu Jayawardhana , Nima Monshizadeh

In this paper, we consider the problem of detecting signals in multiple, sequentially observed data streams. For each stream, the exact distribution is unknown, but characterized by a parameter that takes values in either of two disjoint…

统计方法学 · 统计学 2025-07-30 Yiming Xing , Anamitra Chaudhuri , Yifan Chen

This paper is concerned with the stability analysis of encrypted observer-based control for linear continuous-time systems. Since conventional encryption has limited ability to deploy in continuous-time integral computation, our work…

系统与控制 · 电气工程与系统科学 2024-02-15 Hung Nguyen , Binh Nguyen , Hyung-Gohn Lee , Hyo-Sung Ahn

The support recovery problem consists of determining a sparse subset of variables that is relevant in generating a set of observations. In this paper, we study the support recovery problem in the phase retrieval model consisting of noisy…

信息论 · 计算机科学 2020-09-29 Lan V. Truong , Jonathan Scarlett

In order to certify performance and safety, feedback control requires precise characterization of sensor errors. In this paper, we provide guarantees on such feedback systems when sensors are characterized by solving a supervised learning…

机器学习 · 计算机科学 2021-04-20 Sarah Dean , Benjamin Recht

Dynamic nonlinear systems exhibit distortions arising from coupled static and dynamic effects. Their intertwined nature poses major challenges for data-driven modeling. This paper presents a theoretical framework grounded in structured…

机器学习 · 计算机科学 2025-09-23 Sri Satish Krishna Chaitanya Bulusu , Mikko Sillanpää

The problem of reconstructing nonlinear and complex dynamical systems from measured data or time series is central to many scientific disciplines including physical, biological, computer, and social sciences, as well as engineering and…

数据分析、统计与概率 · 物理学 2017-05-01 Wenxu Wang , Ying-Cheng Lai , Celso Grebogi

Motivated by networked systems, stochastic control, optimization, and a wide variety of applications, this work is devoted to systems of switching jump diffusions. Treating such nonlinear systems, we focus on stability issues. First…

最优化与控制 · 数学 2014-01-21 Zhixin Yang , G. Yin

We consider the problem of least squares parameter estimation from single-trajectory data for discrete-time, unstable, closed-loop nonlinear stochastic systems, with linearly parameterised uncertainty. Assuming a region of the state space…

系统与控制 · 电气工程与系统科学 2024-12-06 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu