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In this work, we are interested in tree-shaped networks of freely vibrating beams which are geometrically exact (GEB) -- in the sense that large motions (deflections, rotations) are accounted for in addition to shearing -- and linked by…

偏微分方程分析 · 数学 2020-09-16 Charlotte Rodriguez

We study well-posedness, stabilization and control problems involving freely vibrating beams that may undergo motions of large magnitude -- i.e. large displacements of the reference line and large rotations of the cross sections. Such…

最优化与控制 · 数学 2022-02-16 Charlotte Rodriguez

In this work we address the problem of boundary feedback stabilization for a geometrically exact shearable beam, allowing for large deflections and rotations and small strains. The corresponding mathematical model may be written in terms of…

偏微分方程分析 · 数学 2020-08-27 Charlotte Rodriguez , Günter Leugering

In this paper we establish the theory on semiglobal classical solution to first order quasilinear hyperbolic systems with a kind of nonlocal boundary conditions, and based on this, the corresponding exact boundary controllability and…

最优化与控制 · 数学 2009-08-11 Tatsien Li , Bopeng Rao , Zhiqiang Wang

Controlling complex networks is of paramount importance in science and engineering. Despite the recent development of structural-controllability theory, we continue to lack a framework to control undirected complex networks, especially…

物理与社会 · 物理学 2013-10-23 Zhengzhong Yuan , Chen Zhao , Zengru Di , Wen-Xu Wang , Ying-Cheng Lai

In this paper, we consider the problem of tuning the edge weights of a networked system described by linear time-invariant dynamics. We assume that the topology of the underlying network is fixed and that the set of feasible edge weights is…

最优化与控制 · 数学 2020-01-07 Cassiano O. Becker , Sérgio Pequito , George J. Pappas , Victor M. Preciado

Network embedding is a fervid topic in current networks science and observes that most real complex systems can be embedded in hidden metrics space and emerge as the geometrical property, where the geometric distance between nodes…

物理与社会 · 物理学 2020-04-28 Zongning Wu , Zengru Di , Ying Fan

In this work, we present a numerical optimal control framework for reachable set computation using \emph{normotopes}, a new set representation as a norm ball with a shaping matrix. In reachable set computations, we expect to continuously…

最优化与控制 · 数学 2025-09-30 Akash Harapanahalli , Samuel Coogan

This paper investigates the robustness of strong structural controllability for linear time-invariant and linear time-varying directed networks with respect to structural perturbations, including edge deletions and additions. In this…

动力系统 · 数学 2020-05-26 Shima Sadat Mousavi , Mohammad Haeri , Mehran Mesbahi

This paper proposes a low order geometrically exact flexible beam formulation based on the utilisation of generic beam shape functions to approximate distributed kinematic properties of the deformed structure. The proposed nonlinear beam…

经典物理 · 物理学 2018-09-05 C. Howcroft , R. G. Cook , S. A. Neild , M. H. Lowenberg , J. E. Cooper , E. B. Coetzee

The objective of this research is the development of a geometrically exact model for the analysis of arbitrarily curved spatial Bernoulli-Euler beams. The complete metric of the beam is utilized in order to include the effect of curviness…

计算工程、金融与科学 · 计算机科学 2022-01-19 A. Borković , B. Marussig , G. Radenković

Understanding conformational change is crucial for programming and controlling the function of many mechanical systems such as allosteric enzymes and tunable metamaterials. Of particular interest is the relationship between the network…

计算物理 · 物理学 2019-07-24 Jason Z. Kim , Zhixin Lu , Steven H. Strogatz , Danielle S. Bassett

The current driver nodes search methods are difficult to cope with large networks, and the solution process does not consider the node cost. In order to solve the practical control problem of networks with different node costs in finite…

物理与社会 · 物理学 2023-08-16 Jiarui Zhang , Jian Huang , Ji Guang , Jialong Gao

Model predictive control allows solving complex control tasks with control and state constraints. However, an optimal control problem must be solved in real-time to predict the future system behavior, which is hardly possible on embedded…

系统与控制 · 电气工程与系统科学 2023-04-13 Jan Olucak , Walter Fichter , Torbjørn Cunis

Despite the significant advances in identifying the driver nodes and energy requiring in network control, a framework that incorporates more complicated dynamics remains challenging. Here, we consider the conformity behavior into network…

物理与社会 · 物理学 2022-01-26 Zu-Yu Qian , Cheng Yuan , Jie Zhou , Shi-Ming Chen , Sen Nie

In recent years, Neural Networks (NNs) have been employed to control nonlinear systems due to their potential capability in dealing with situations that might be difficult for conventional nonlinear control schemes. However, to the best of…

最优化与控制 · 数学 2025-02-04 Anran Li , John P. Swensen , Mehdi Hosseinzadeh

We present neural network-based constitutive models for hyperelastic geometrically exact beams. The proposed models are physics-augmented, i.e., formulated to fulfill important mechanical conditions by construction, which improves accuracy…

计算工程、金融与科学 · 计算机科学 2024-12-20 Jasper O. Schommartz , Dominik K. Klein , Juan C. Alzate Cobo , Oliver Weeger

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…

系统与控制 · 电气工程与系统科学 2024-10-04 Maxime Thieffry , Alexandre Hache , Mohamed Yagoubi , Philippe Chevrel

We propose a novel approach to the linear viscoelastic problem of shear-deformable geometrically exact beams. The generalized Maxwell model for one-dimensional solids is here efficiently extended to the case of arbitrarily curved beams…

数值分析 · 数学 2023-07-20 Giulio Ferri , Diego Ignesti , Enzo Marino

This paper studies how to achieve accurate modeling and effective control in stochastic nonlinear dynamics with multiple interacting objects. However, non-uniform interactions and random topologies make this task challenging. We address…

系统与控制 · 电气工程与系统科学 2025-10-31 Xiaoyuan Cheng , Yiming Yang , Wei Jiang , Chenyang Yuan , Zhuo Sun , Yukun Hu
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