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On application of Newton’s law to mechanical systems with motion constraints
Springer Science and Business Media LLC - Tập 72 - Trang 455-475 - 2013
E. Paraskevopoulos, S. Natsiavas
This work is devoted to deriving and investigating conditions for the correct application of Newton’s law to mechanical systems subjected to motion constraints. It utilizes some fundamental concepts of differential geometry and treats both holonomic and nonholonomic constraints. This approach is convenient since it permits one to view the motion of any dynamical system as a path of a point on a ma...... hiện toàn bộ
Modulation instability analysis and soliton solutions of an integrable coupled nonlinear Schrödinger system
Springer Science and Business Media LLC - Tập 94 Số 4 - Trang 2749-2761 - 2018
Ding Guo, Shou‐Fu Tian, Tiantian Zhang, Jin Li
Distributed adaptive event-triggered control for attitude synchronization of multiple spacecraft
Springer Science and Business Media LLC - Tập 95 - Trang 2625-2638 - 2019
Chuang Xu, Baolin Wu, Xibin Cao, Yingchun Zhang
This paper investigates the problem of attitude synchronization tracking of multiple spacecraft in the presence of limited inter-spacecraft communication, model uncertainties and external disturbances. A distributed adaptive event-triggered control scheme for attitude synchronization tracking of multiple spacecraft is proposed. In the proposed control scheme, the controllers are updated in an aper...... hiện toàn bộ
Application of new dynamical spectra of orbits in Hamiltonian systems
Springer Science and Business Media LLC - Tập 69 - Trang 2041-2063 - 2012
Euaggelos E. Zotos
In the present article, we investigate the properties of motion in Hamiltonian systems of two and three degrees of freedom, using the distribution of the values of two new dynamical parameters. The distribution functions of the new parameters define the S(g) and the S(w) dynamical spectra. The first spectrum definition that is the S(g) spectrum will be applied in a Hamiltonian system of two degree...... hiện toàn bộ
Connecting mem-models with classical theories
Springer Science and Business Media LLC - Tập 103 - Trang 1321-1344 - 2021
Jin-Song Pei, François Gay-Balmaz, Darby J. Luscher, James L. Beck, Michael D. Todd, Joseph P. Wright, Yu Qiao, Marco B. Quadrelli, Chuck R. Farrar, Nicholas A. J. Lieven
A family of mem-models, including the mem-dashpots, mem-springs, and most recently, mem-inerters, is emerging as a new and powerful way of capturing complex nonlinear behaviors of materials and systems under various types of dynamic loads involving different frequency, amplitude, and loading histories (e.g., hysteresis). Under the framework of nonlinear state-space representation and hybrid dynami...... hiện toàn bộ
Asynchronous rate anti-bump switching convex control for a class of switched positive linear systems
Springer Science and Business Media LLC - Tập 112 - Trang 2683-2700 - 2023
Shuoyang Hu, Ruihua Wang, Shumin Fei
In this paper, the asynchronous rate anti-bump switching control issue for switched positive linear systems is addressed based on a novel Lyapunov function under admissible edge-dependent switching. Firstly, the definition of asynchronous rate anti-bump switching performance is proposed to restrain the rate bumps induced by system and controller mode switchings. A multiple convex copositive Lyapun...... hiện toàn bộ
Adaptive dynamic surface control for MEMS triaxial gyroscope with nonlinear inputs
Springer Science and Business Media LLC - Tập 78 Số 1 - Trang 173-182 - 2014
Song, Zhankui, Li, Hongxing, Sun, Kaibiao
An adaptive dynamic surface control algorithm that incorporates adaptive control and fuzzy logic system into the implementation of dynamic surface control for regulating problem of MEMS triaxial gyroscope subject to external disturbance, uncertainty and input uncertainty is developed in this work. To relax the requirement of exact model and obtain fully adaptive property, a fuzzy logic system is i...... hiện toàn bộ
Conformal invariance of Mei symmetry for the non-holonomic systems of non-Chetaev’s type
Springer Science and Business Media LLC - Tập 69 - Trang 487-493 - 2011
Jianle Cai
The conformal invariance and conserved quantities of Mei symmetry for the non-holonomic systems of non-Chetaev’s type are studied. Firstly, the differential equations of motion of the holonomic systems corresponding to the non-holonomic systems are discussed. Secondly, based on the introduction of an infinitesimal transformation group and its infinitesimal transformation vector of generators, the ...... hiện toàn bộ
BLS-based formation control for nonlinear multi-agent systems with actuator fault and input saturation
Springer Science and Business Media LLC - Tập 109 Số 4 - Trang 2657-2673 - 2022
Zhanwei Yang, Shengjin Li, Dengxiu Yu, C. L. Philip Chen
On the use of the theory of dynamical systems for transient problems
Springer Science and Business Media LLC - - 2013
Ugo Galvanetto, Luca Magri
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