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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
Genus for knots and links in renormalizable templates with several branch nodes
Springer Science and Business Media LLC - Tập 77 - Trang 1035-1045 - 2014
Pedro Simões, Luís Silva, Nuno Franco
We apply kneading theory to describe the knots and links generated by the iteration of renormalizable nonautonomous dynamical systems with reducible kneading invariants, in terms of the links corresponding to each factor. As a consequence we obtain explicit formulas for the genus for this kind of knots and links.
Hierarchical sliding mode surface-based adaptive neural fault-tolerant control for switched nonlinear systems with average dwell time
Springer Science and Business Media LLC - Tập 111 - Trang 21747-21763 - 2023
Ning Xu, Ben Niu, Haoyan Zhang, Huanqing Wang, Guangdeng Zong, Xudong Zhao
This paper studies the adaptive neural fault-tolerant control (FTC) problem of a class of switched nonstrict-feedback nonlinear systems (NFNSs) via adopting the hierarchical sliding mode control (HSMC) method and the average dwell time (ADT) switching strategy. First, the original system is transformed into a new system with unknown compound nonlinear functions. Then, by utilizing the robust appro...... hiện toàn bộ
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 tracking control of uncertain switched stochastic nonlinear systems
Springer Science and Business Media LLC - Tập 84 - Trang 2099-2109 - 2016
Fang Wang, Bing Chen, Ziye Zhang, Chong Lin
In this paper, a tracking control problem is investigated for a class of switched stochastic nonlinear uncertain systems with unknown dead-zone input. By using the common Lyapunov function method and backstepping technique, a common controller and an uniform adaptive mechanism are constructed, and a novel adaptive fuzzy control scheme is developed. It is proved that the proposed control method can...... hiện toàn bộ
Bilinear Bäcklund transformation, soliton and periodic wave solutions for a $$\varvec{(3 + 1)}$$ ( 3 + 1 ) -dimensional variable-coefficient generalized shallow water wave equation
Springer Science and Business Media LLC - Tập 87 Số 4 - Trang 2529-2540 - 2017
Qian-Min Huang, Yi–Tian Gao, Shu-Liang Jia, Ya-Le Wang, Gao-Fu Deng
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