Published in Nonlinear Dynamics
The viability of the Whitham equation as a nonlocal model for capillary-gravity waves at the surface of an inviscid incompressible fluid is under study. A nonlocal Hamiltonian system of model equations is derived using the Hamiltonian structure of the free-surface water-wave problem and the Dirichlet–Neumann operator. The system features gravitatio...
Published in Nonlinear Dynamics
Vaccination is an effective method to prevent the spread of infectious diseases. In this paper, we develop an SIVS epidemic model with degree-related transmission rates and imperfect vaccination on scale-free networks. Firstly, we derive two threshold parameters and existence conditions of multiple endemic equilibria. Secondly, not only the global ...
Published in Nonlinear Dynamics
In this paper, we concentrate on the cooperative disturbance rejection control of flexible riser systems corrupted by external disturbances. Fusing with disturbance rejection control strategy, auxiliary system, and Lyapunov theory, new controllers and disturbance observers are established to dampen the vibration and eliminate the effects of externa...
Published in Nonlinear Dynamics
Iterative learning control (ILC) theory is based on the traditional assumptions of resetting condition and repetitive trajectory. To overcome these restrictions, a novel ILC is developed in this paper for MIMO uncertain nonlinear systems subject to external disturbances and performing nonrepetitive trajectory. The proposed ILC scheme works under al...
Published in Nonlinear Dynamics
We provide the Hamiltonian version of the approximate Noether theorem developed for the perturbed ordinary differential equations (ODEs) (Govinder et al. in Phys Lett 240(3):127–131, 1998) for the approximate Hamiltonian systems. We follow the procedure adopted by Dorodnitsyn and Kozlov (J Eng Math 66(1–3):253–270, 2010) for the Hamiltonian systems...
Published in Nonlinear Dynamics
Energy-harvesting shock absorbers (EHSAs) have been introduced in the last decade as a viable technology for improving the performance and durability of electric and/or hybrid vehicles. However, in order to gauge the potential that can be obtained from this technology in different environments, the computational models that are used should behave a...
Published in Nonlinear Dynamics
In this paper, a new family of controllably dissipative composite algorithms is developed to obtain reliable numerical response of structural dynamic problems. The proposed algorithm is a self-starting, unconditionally stable and second-order accurate three sub-step composite algorithm. The new method includes two optimal sub-families of algorithms...
Published in Nonlinear Dynamics
This paper is concerned with the fixed-time consensus problem of multiple chained-form systems under matched perturbations. In this study, the leader (which can be dynamic) only transmits its state and control input to its neighbors. For each agent, a decentralized observer is designed to estimate the leader state in a fixed-time. Contrary to finit...
Published in Nonlinear Dynamics
This paper studies the adaptive fuzzy control problem for multi-agent systems (MASs) with dead zone and input delay. Second-order tracking differentiator is introduced to avoid the repeated differentiations of the virtual control. The problem of dead zone is solved by using dead-zone slope and boundary value theory. Based on the Pade approximation ...
Published in Nonlinear Dynamics
A circular soft robot integrating the control system is constructed, which is actuated by eight shape memory alloy springs. Four flexible sensors are pasted on the soft robot’s inner face to detect the deformation for the closed-loop control. First, according to the Clausius–Clapeyron equation and Taylor’s expansion, a nonlinear deformation model i...
