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We address the problem of robust state estimation of a class of discrete-time nonlinear systems with positive-slope nonlinearities when the sensors are corrupted by (potentially unbounded) attack signals and bounded measurement noise. We…

Signal Processing · Electrical Eng. & Systems 2018-09-21 Tianci Yang , Carlos Murguia , Margreta Kuijper , Dragan Nešić

We present a new scheme to detect and visualize oscillations of a single quantum system in real time. The scheme is based upon a sequence of very weak generalized measurements, distinguished by their low disturbance and low information…

Quantum Physics · Physics 2007-05-23 Jürgen Audretsch , Felix E. Klee , Thomas Konrad

This work addresses the finite-time enclosing control problem where a set of followers are deployed to encircle and rotate around multiple moving targets with a predefined spacing pattern in finite time. A novel distributed and continuous…

Optimization and Control · Mathematics 2022-02-02 Liang Zhang

Despite the great success of using gradient-based controllers to stabilize rigid formations of autonomous agents in the past years, surprising yet intriguing undesirable collective motions have been reported recently when inconsistent…

Robotics · Computer Science 2016-09-22 Hector Garcia de Marina , Ming Cao , Bayu Jayawardhana

We address the problem of steering the phase distribution of oscillators all receiving the same control input to a given target distribution. In a large population limit, the distribution of oscillators can be described by a probability…

Systems and Control · Electrical Eng. & Systems 2025-07-30 Kaito Ito , Haruhiro Kume , Hideaki Ishii

Pulse stabilization of cycles with Prediction-Based Control including noise and stochastic stabilization of maps with multiple equilibrium points is analyzed for continuous but, generally, non-smooth maps. Sufficient conditions of global…

Dynamical Systems · Mathematics 2022-08-19 Elena Braverman , Alexandra Rodkina

The paradigmatic formation control problem of steering a multi-agent system towards a balanced circular formation has been the subject of extensive studies in the control engineering community. Indeed, this is due to the fact that it shares…

Systems and Control · Computer Science 2019-03-27 Pietro DeLellis , Franco Garofalo , Francesco Lo Iudice

Numerous biological and microscale systems exhibit synchronization in noisy environments. The theory of such noisy oscillators and their synchronization has been developed and experimentally demonstrated, but inferring the noise intensity…

Adaptation and Self-Organizing Systems · Physics 2025-01-09 Hisa-Aki Tanaka , Somei Suga , Akira Keida , Hiroya Nakao , Yutaka Jitsumatsu , István Z. Kiss

Motivated by the aim to find new medical strategies to suppress undesirable neural synchronization we study the control of oscillations in a system of inhibitory coupled noisy oscillators. Using dynamical properties of inhibition, we find…

Disordered Systems and Neural Networks · Physics 2009-05-27 C. J. Tessone , E. Ullner , A. A. Zaikin , J. Kurths , R. Toral

Limitations of the delayed feedback control and of its extended versions have been fully treated in the literature. The oscillating delayed feedback control appears as a promising scheme to overcome this problem. In this work, two methods…

Dynamical Systems · Mathematics 2018-05-25 Verónica E. Pastor , Graciela González

This paper proposes a strategy to encircle and intercept a non-cooperative aerial point-mass moving target by leveraging noisy range measurements for state estimation. In this approach, the guardians actively ensure the observability of the…

Robotics · Computer Science 2025-08-12 Fen Liu , Shenghai Yuan , Thien-Minh Nguyen , Wei Meng , Lihua Xie

We propose a method for controlling synchronization patterns of limit-cycle oscillators by common noisy inputs, i.e., by utilizing noise-induced synchronization. Various synchronization patterns, including fully synchronized and clustered…

Adaptation and Self-Organizing Systems · Physics 2015-02-18 Wataru Kurebayashi , Tsubasa Ishii , Mikio Hasegawa , Hiroya Nakao

Combining information both within and across trajectories, we propose a simple estimator for the local regularity of the trajectories of a stochastic process. Independent trajectories are measured with errors at randomly sampled time…

Statistics Theory · Mathematics 2022-03-15 Steven Golovkine , Nicolas Klutchnikoff , Valentin Patilea

Robust online estimation of oscillation frequency belongs to classical problems of system identification and adaptive control. The given harmonic signal can be noisy and with varying amplitude at the same time, as in the case of damped…

Systems and Control · Electrical Eng. & Systems 2022-01-26 Michael Ruderman

This paper studies static output feedback stabilization of continuous-time (incrementally) passive nonlinear systems where the control actions can only be chosen from a discrete (and possibly finite) set of points. For this purpose, we are…

Optimization and Control · Mathematics 2024-06-03 M. Z. Almuzakki , B. Jayawardhana , A. Tanwani

Characterizing noisy quantum devices requires methods for learning the underlying quantum Hamiltonian which governs their dynamics. Often, such methods compare measurements to simulations of candidate Hamiltonians, a task which requires…

Quantum Physics · Physics 2021-10-13 Assaf Zubida , Elad Yitzhaki , Netanel H. Lindner , Eyal Bairey

We demonstrate in numerical experiments that estimators of strength and directionality of coupling between oscillators based on modeling of their phase dynamics [D.A. Smirnov and B.P. Bezruchko, Phys. Rev. E 68, 046209 (2003)] are widely…

Data Analysis, Statistics and Probability · Physics 2009-11-11 D. A. Smirnov , M. B. Bodrov , J. L. Perez Velazquez , R. A. Wennberg , B. P. Bezruchko

The paper considers a stabilizing stochastic control which can be applied to a variety of unstable and even chaotic maps. Compared to previous methods introducing control by noise, we relax assumptions on the class of maps, as well as…

Dynamical Systems · Mathematics 2019-02-25 Elena Braverman , Alexandra Rodkina

In this paper, a distributed tracking control scheme with distributed estimators has been developed for a leader-follower multi-agent system with measurement noises and directed interconnection topology. It is supposed that each follower…

Mathematical Physics · Physics 2011-08-10 Jiangping Hu , Gang Feng

The recently introduced discrete power-based control (Ruderman (2024b)) reduces largely the communication efforts in the control loop when compensating for the marginally damped or even slowly diverging output oscillations. The control…

Systems and Control · Electrical Eng. & Systems 2025-04-24 Michael Ruderman , Denis Efimov
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