时滞耦合系统非线性动力学的研究进展

张舒, 徐鉴 - 力学学报, 2017 - lxxb.cstam.org.cn
随着对自然界客观规律的深入认识, 工程系统设计的精细化和复杂性要求也与日剧增.
在许多耦合的动态系统设计过程中要考虑由耦合过程的时滞所引发的动力学行为 …

[HTML][HTML] Designing a heuristic computing structure to solve the human balancing model

N AbuAli, Z Sabir - Journal of King Saud University-Computer and …, 2024 - Elsevier
The current study provides numerical solutions to the human balancing system using novel
framework-based artificial neural networks and the hybrid competency of global heuristic …

Conditions for stabilizability of time‐delay systems with real‐rooted plant

T Balogh, I Boussaada, T Insperger… - … Journal of Robust …, 2022 - Wiley Online Library
In this article we consider the‐stabilization of n th‐order linear time‐invariant dynamical
systems using multiplicity‐induced‐dominancy‐based controller design in the presence of …

Review on nonlinear dynamics in systems with coulpling delays

Z Shu, X Jian - Chinese Journal of Theoretical and Applied …, 2017 - lxxb.cstam.org.cn
With the deep understanding towards the objective laws of nature, requirements on
refinement and complexity in engineering system design are increasing. Many coupled …

Tunable broadband low-frequency band gap of multiple-layer metastructure induced by time-delayed vibration absorbers

F Wang, X Sun, H Meng, J Xu - Nonlinear Dynamics, 2022 - Springer
In this study, a low-frequency multiple-layer metastructure is proposed for broadband
vibration control. The effects of the time-delayed vibration absorbers (TDVAs) on the …

Accuracy of the Laplace transform method for linear neutral delay differential equations

G Kerr, G González-Parra - Mathematics and Computers in Simulation, 2022 - Elsevier
In this paper, we study and solve linear neutral delay differential equations. We investigate
the reliability and accuracy of applying the Laplace transform to obtain the solutions of linear …

A new method based on the Laplace transform and Fourier series for solving linear neutral delay differential equations

G Kerr, G González-Parra, M Sherman - Applied Mathematics and …, 2022 - Elsevier
In this paper, we present a new method for solving linear neutral delay differential equations.
We derive and illustrate the main features of this novel approach, that combines the Laplace …

[HTML][HTML] Design, Implementation, and Control of a Wheel-Based Inverted Pendulum

D Zaborniak, K Patan, M Witczak - Electronics, 2024 - mdpi.com
Control of an inverted pendulum is a classical example of the stabilisation problem
pertaining to systems that are unstable by nature. The reaction wheel and the motor act as …

Robust motion control of a two-wheeled inverted pendulum with an input delay based on optimal integral sliding mode manifold

Y Zhou, Z Wang - Nonlinear Dynamics, 2016 - Springer
This paper presents a robust integral sliding mode controller for the back-and-forth motion of
a two-wheeled inverted pendulum. The control design of this nonlinear system is based on …

Calculation of the critical delay for the double inverted pendulum

CA Molnar, T Balogh, I Boussaada… - Journal of Vibration …, 2021 - journals.sagepub.com
Single and double inverted pendulum systems subjected to delayed state feedback are
analyzed in terms of stabilizability. The maximum (critical) delay that allows a stable closed …