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This paper examines the local exponential stability (LES) of trajectories for nonlinear systems on Riemannian manifolds. We present necessary and sufficient conditions for LES of a trajectory on a Riemannian manifold by analyzing the…

Optimization and Control · Mathematics 2023-06-22 Dongjun Wu , Bowen Yi , Anders Rantzer

In this paper, we propose a novel nonlinear observer based on neural networks, called neural observer, for observation tasks of linear time-invariant (LTI) systems and uncertain nonlinear systems. In particular, the neural observer designed…

Optimization and Control · Mathematics 2023-01-18 Song Chen , Shengze Cai , Tehuan Chen , Chao Xu , Jian Chu

Various methods are nowadays available to design observers for broad classes of systems, where the primary focus is on establishing the convergence of the estimated states. Nevertheless, the question of the tuning of the observer to achieve…

Systems and Control · Electrical Eng. & Systems 2024-01-15 E. Petri , R. Postoyan , D. Astolfi , D. Nesic , V. Andrieu

This paper discusses stability and robustness properties of a recently proposed observer algorithm for linear time varying systems. The observer is based on the approximation and subsequent modification of the non-negative Lyapunov…

Optimization and Control · Mathematics 2018-09-19 Markus Tranninger , Sergiy Zhuk , Martin Steinberger , Leonid Fridman , Martin Horn

We investigate how the following properties are related to each other: i)-A manifold is "transversally" exponentially stable; ii)-The "transverse" linearization along any solution in the manifold is exponentially stable; iii)-There exists a…

Dynamical Systems · Mathematics 2016-01-05 Vincent Andrieu , Bayu Jayawardhana , Laurent Praly

A detailed stability analysis is presented for the de Sitter solution with a homogeneous magnetic field that was recently found in the context of a $U(1)$ gauge theory nonminimally coupled to scalar-tensor gravity. The magnetic field is…

High Energy Physics - Theory · Physics 2018-12-05 Shinji Mukohyama

The paper addresses the problem of attitude estimation for rigid bodies using (possibly time-varying) vector measurements, for which we provide a necessary and sufficient condition of distinguishability. Such a condition is shown to be…

Systems and Control · Electrical Eng. & Systems 2022-06-28 Bowen Yi , Lei Wang , Ian R. Manchester

The behaviour of a space-modulated, so-called "argumental" oscillator is studied, which is represented by a model having an even-parity space-modulating function. Analytic expressions of a stability criterion and of discrete energy levels…

Chaotic Dynamics · Physics 2016-06-30 Daniel Cintra , Pierre Argoul

Condition monitoring of induction motor has been widely researched over recent years due to its ability to monitor operating characteristics and the health status of induction motor. Various methods have been used to monitor induction…

Systems and Control · Electrical Eng. & Systems 2021-10-15 Rayyan Bin Fairuz

This paper proposes a new methodology for design of a stabilizing control law for multi-input linear systems with time-varying, singular gains on the control. The results presented here assume the control gain to satisfy persistence of…

Optimization and Control · Mathematics 2014-10-17 Srikant Sukumar , Maruthi R. Akella

This paper study the hyperexponential stabilization for infinite-dimensional system on Hilbert space by a distributed time depending control law. The well-posedness of the closed loop for every time is obtained through the use of maximal…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Moussa Labbadi , Christophe Roman

We study constant roll inflation systematically. This is a regime, in which the slow roll approximation can be violated. It has long been thought that this approximation is necessary for agreement with observations. However, recently it was…

High Energy Physics - Theory · Physics 2018-02-21 Lilia Anguelova , Peter Suranyi , L. C. Rohana Wijewardhana

This paper presents a robust position controller for electric power assisted steering and steer-by-wire force-feedback systems. A position controller is required in steering systems for haptic feedback control, advanced driver assistance…

Systems and Control · Electrical Eng. & Systems 2024-12-30 Tushar Chugh , Fredrik Bruzelius , Balázs Kulcsár

In this work we solve the position-aided 3D navigation problem using a nonlinear estimation scheme. More precisely, we propose a nonlinear observer to estimate the full state of the vehicle (position, velocity, orientation and gyro bias)…

Systems and Control · Electrical Eng. & Systems 2021-03-26 Soulaimane Berkane , Abdelhamid Tayebi

This article deals with the stability analysis of a drilling system which is modelled as a coupled ordinary differential equation / string equation. The string is damped at the two boundaries but leading to a stable open-loop system. The…

Optimization and Control · Mathematics 2019-04-22 Matthieu Barreau , Alexandre Seuret , Frédéric Gouaisbaut

The behavior of two-dimensional coupled map lattices is studied with respect to the global stabilization of unstable local fixed points without external control. It is numerically shown under which circumstances such inherent global…

Chaotic Dynamics · Physics 2015-06-26 H. Atmanspacher , H. Scheingraber

This paper presents a control design with integral action for vehicle platoons with disturbance that ensures string stability of the closed loop and disturbance rejection. The addition of integral action and a coordinate change allows to…

Systems and Control · Electrical Eng. & Systems 2020-06-23 Guilherme Froes Silva , Alejandro Donaire , Aaron McFadyen , Jason Ford

Transient stability is crucial to the reliable operation of power systems. Existing theories rely on the simplified electromechanical models, substituting the detailed electromagnetic dynamics of inductor and capacitor with their impedance…

Systems and Control · Electrical Eng. & Systems 2025-02-17 Xinyuan Jiang , Constantino M. Lagoa , Yan Li

Complex systems are often composed of many small communicating components called modules. We investigate the synthesis of supervisory controllers for modular systems under partial observation that, as the closed-loop system, realize the…

Formal Languages and Automata Theory · Computer Science 2023-02-22 Jan Komenda , Tomáš Masopust

Multi--stability in the response of a ferrimagnetic spin resonator to an externally applied driving is experimentally studied. The observed multi--stability cannot be derived from any master equation that linearly depends on the spins'…

Quantum Physics · Physics 2025-01-22 Eyal Buks