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Distributed adaptive event-triggered control for attitude synchronization of multiple spacecraft
Springer Science and Business Media LLC - Tập 95 - Trang 2625-2638 - 2019
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......
Connecting mem-models with classical theories
Springer Science and Business Media LLC - Tập 103 - Trang 1321-1344 - 2021
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......
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
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......
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
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......
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
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 ......
On the use of the theory of dynamical systems for transient problems
Springer Science and Business Media LLC - - 2013
Separatrix crossing and symmetry breaking in NLSE-like systems due to forcing and damping
Springer Science and Business Media LLC - Tập 102 - Trang 2385-2398 - 2020
We theoretically and experimentally examine the effect of forcing and damping on systems that can be described by the nonlinear Schrödinger equation (NLSE), by making use of the phase-space predictions of the three-wave truncation. In the latter, the spectrum is truncated to only the fundamental frequency and the upper and lower sidebands. Our experiments are performed on deep water waves, which a......
Nonlinear normal modes and band zones in granular chains with no pre-compression
Springer Science and Business Media LLC - Tập 63 - Trang 359-385 - 2010
We study standing waves (nonlinear normal modes—NNMs) and band zones in finite granular chains composed of spherical granular beads in Hertzian contact, with fixed boundary conditions. Although these are homogeneous dynamical systems in the notation of Rosenberg (Adv. Appl. Mech. 9:155–242, 1966), we show that the discontinuous nature of the dynamics leads to interesting effects such as separation......
Mechanistic mathematical model of kinesin under time and space fluctuating loads
Springer Science and Business Media LLC - Tập 53 Số 4 - Trang 303-320 - 2008
Kinesin-1 is a processive molecular motor that converts the energy from ATP hydrolysis and Brownian motion into directed movement. Single-molecule techniques have allowed the experimental characterization of single kinesins in vitro at a range of loads and ATP concentrations, and shown that each kinesin molecule moves processively along microtubules by alternately advancing each of its motor domai......
Auto-Bäcklund transformations and soliton solutions on the nonzero background for a (3+1)-dimensional Korteweg-de Vries-Calogero-Bogoyavlenskii-Schif equation in a fluid
Springer Science and Business Media LLC - Tập 111 - Trang 8647-8658 - 2023
In this paper, a (3+1)-dimensional Korteweg-de Vries-Calogero-Bogoyavlenskii-Schif equation in a fluid is investigated. By the virtue of the truncated Painlevé expansion, a set of the auto-Bäcklund transformations of that equation is worked out. Based on the auto-Bäcklund transformations with certain non-trivial seed solutions, one-, two-, three- and N-soliton solutions on the nonzero background o......
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