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This article is dedicated to the investigation of the stabilization problem of a flexible beam attached to the center of a rotating disk. We assume that the feedback law contains a nonlinear torque control applied on the disk and nonlinear…

Analysis of PDEs · Mathematics 2021-03-09 K. Ammari , A. Bchatnia , B. Chentouf

This paper investigates control laws allowing mobile, autonomous agents to optimally position themselves on the line for distributed sensing in a nonuniform field. We show that a simple static control law, based only on local measurements…

Optimization and Control · Mathematics 2015-03-19 Naomi Ehrich Leonard , Alex Olshevsky

In this manuscript, we present a novel method for estimating the stochastic stability characteristics of metastable legged systems using the unscented transformation. Prior methods for stability analysis in such systems often required…

Robotics · Computer Science 2022-12-20 Guner Dilsad ER , Mustafa Mert Ankarali

An approach to stabilization of control systems with ultimately wide ranges of uncertainly disturbed parameters is offered. The method relies on using of nonlinear structurally stable functions from catastrophe theory as controllers.…

Optimization and Control · Mathematics 2009-01-20 Viktor Ten

This paper investigates the finite time stabilization problem for a class of nonlinear systems with unknown control directions and unstructured uncertainties. The unstructured uncertainties indicate that not only the parameters but also the…

Systems and Control · Electrical Eng. & Systems 2024-10-30 Shiqi Zheng , Shihao Wang , Xiang Chen , Yuanlong Xie

The paper investigates dynamical systems for which the derivative of some positive-definite function along the solutions of this system depends on so-called density function. In turn, such dynamical systems are called density systems. The…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Igor Furtat

This work has the goal of briefly surveying some key stabilization techniques for general nonlinear systems, for which, as it is well known, a smooth control Lyapunov function may fail to exist. A general overview of the situation with…

Optimization and Control · Mathematics 2020-07-03 Pavel Osinenko , Patrick Schmidt , Stefan Streif

This paper is concerned with the output feedback exponential stabilization for a flexible beam with tip mass. When there is no disturbance, it is shown that only one non-collocated measurement is enough to exponentially stabilize the…

Optimization and Control · Mathematics 2022-04-12 Zhan-Dong Mei

Robust control theory studies the effect of noise, disturbances, and other uncertainty on system performance. Despite growing recognition across science and engineering that robustness and efficiency tradeoffs dominate the evolution and…

Optimization and Control · Mathematics 2016-06-14 Yoke Peng Leong , John C. Doyle

Almost sure asymptotic stabilization of a discrete-time switched stochastic system is investigated. Information on the active operation mode of the switched system is assumed to be available for control purposes only at random time…

Systems and Control · Computer Science 2014-09-10 Ahmet Cetinkaya , Tomohisa Hayakawa

We investigate stability analysis and controller design of unknown continuous-time systems under state-feedback with aperiodic sampling, using only noisy data but no model knowledge. We first derive a novel data-dependent parametrization of…

Optimization and Control · Mathematics 2022-08-26 Julian Berberich , Stefan Wildhagen , Michael Hertneck , Frank Allgöwer

Contraction theory is a recently developed dynamic analysis and nonlinear control system design tool based on an exact differential analysis of convergence. This paper extends contraction theory to local and global stability analysis of…

Mathematical Physics · Physics 2007-05-23 Winfried Lohmiller , Jean-Jacques E. Slotine

Inverse optimal control can be used to characterize behavior in sequential decision-making tasks. Most existing work, however, is limited to fully observable or linear systems, or requires the action signals to be known. Here, we introduce…

Machine Learning · Computer Science 2023-10-31 Dominik Straub , Matthias Schultheis , Heinz Koeppl , Constantin A. Rothkopf

We study the problem of \textit{safe control of linear dynamical systems corrupted with non-stochastic noise}, and provide an algorithm that guarantees (i) zero constraint violation of convex time-varying constraints, and (ii) bounded…

Systems and Control · Electrical Eng. & Systems 2023-08-25 Hongyu Zhou , Vasileios Tzoumas

Rimless wheels are known as the simplest model for passive dynamic walking. It is known that the passive gait generated only by gravity effect always becomes asymptotically stable and 1-period because a rimless wheel automatically achieves…

Robotics · Computer Science 2026-04-16 Fumihiko Asano

Neural-based, data-driven analysis and control of dynamical systems have been recently investigated and have shown great promise, e.g. for safety verification or stability analysis. Indeed, not only do neural networks allow for an entirely…

Optimization and Control · Mathematics 2023-12-14 Virginie Debauche , Alec Edwards , Raphael M. Jungers , Alessandro Abate

Existing smart composite piezoelectric beam models in the literature mostly ignore the electro-magnetic interactions and adopt the linear elasticity theory. However, these interactions substantially change the controllability and…

Optimization and Control · Mathematics 2018-03-21 Ahmet Ozkan Ozer

Model-based manipulation of deformable objects has traditionally dealt with objects while neglecting their dynamics, thus mostly focusing on very lightweight objects at steady state. At the same time, soft robotic research has made…

Robotics · Computer Science 2025-10-21 Sebastien Tiburzio , Tomás Coleman , Daniel Feliu-Talegon , Cosimo Della Santina

Motor control is a fundamental process that underlies all voluntary behavioral responses. Several different theories based on different principles (task dynamics, equilibrium-point theory, passive-motion paradigm, active inference, optimal…

Neurons and Cognition · Quantitative Biology 2021-07-20 Emmanuel Guigon

This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning-based lifting approach is proposed to approximate nonlinear dynamical systems with linear…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Sourav Sinha , Mazen Farhood
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