高静低动隔振系统的双时延反馈混沌化

针对舰船辐射噪声中线谱特征突出且难以消除的难题,通过双时延反馈控制的高静低动隔振系统来同时降低线谱特征和强度。首先,建立高静低动隔振系统及其双时延反馈控制的动力学模型;然后,分析双时延反馈控制的高静低动隔振系统的全时延稳定性和稳定性切换;最后,实现基于双时延反馈控制的高静低动隔振系统混沌化。仿真结果表明:不稳定区域相比稳定区域,更容易实现时延混沌化;双时延反馈相比单时延反馈的临界控制增益更小,混沌云点更稠密;高静低动隔振系统相比一般非线性系统线谱强度更低,混沌化效果更好。

考虑时延和多前车反馈的智能网联汽车跟驰模型

针对智能网联环境下传感器感知和车车通信(vehicle to vehicle,V2V)都存在时延的问题,提出一种考虑双时延和多前车反馈(dual delay multiple look-ahead full velocity difference,DD-MLFVD)的智能网联汽车跟驰模型.根据智能网联汽车感知特性引入双时延信息,结合多前车速度差和期望速度信息提出DD-MLFVD模型.通过微小扰动法求解DD-MLFVD模型的临界稳定性条件,同时结合模型参数研究前车数量和时延大小对模型稳定域的影响.利用直道场景对模型进行仿真分析,着重研究变扰动和变时延场景下DD-MLFVD对交通流的稳定效果.结果表明:面对复杂扰动影响,DD-MLFVD模型能够较好吸收扰动,可提升交通流的稳定性.

Transient Properties of a Bistable System with Delay Time Driven by Non-Gaussian and Gaussian Noises:Mean First-Passage Time

The mean first-passage time of a bistable system with time-delayed feedback driven by multiplicative non-Gaussian noise and additive Gaussian white noise is investigated. Firstly, the non-Markov process is reduced to the Markov process through a path-integral approach; Secondly, the approximate Fokker-Planck equation is obtained by applying the unified coloured noise approximation, the small time delay approximation and the Novikov Theorem. The functional analysis and simplification are employed to obtain the approximate expressions of MFPT. The effects of non-Gaussian parameter （measures deviation from Gaussian character） r, the delay time τ, the noise correlation time to, the intensities D and a of noise on the MFPT are discussed. It is found that the escape time could be reduced by increasing the delay time τ, the noise correlation time τ0, or by reducing the intensities D and α. As far as we know, this is the first time to consider the effect of delay time on the mean first-passage time in the stochastic dynamical system.

Different Types of Projective Synchronization in a Class of Time-Delayed Chaotic Systems Using Active Control Approach

We study different types of projective synchronization （projective-anticipating, projective, and projectivelag synchronization） in a class of time-delayed chaotic systems related to optical bistable or hybrid optical bistable devices. We relax some limitations of previous work, where the scaling factor a can not be any desired value. In this paper, we achieve projective-anticipating, projective, and projective-lag synchronization without the limitation of a. A suitable controller is chosen using active control approach. Based on the Lyapunov stability theory, we derive the sufficient stability condition through theoretical analysis. The analytical results are validated by the numerical simulations using Ikeda model and Mackey-Glass model.

Stochastic Resonance of a Periodically Driven Bistable System with Two Different Kinds of Time Delays

In this paper, we study the phenomenon of stochastic resonance （SR） in a periodically driven bistable system with correlations between multiplicative and additive white noise terms when there, are two different kinds of time delays existed in the deterministic and fluctuating forces, respectively. Using the small time delay approximation and the theory of signal-to-noise ratio （SNR） in the adiabatic limit, the expression of SNR is obtained. The effects of the delay time T in the deterministic force, and the delay time 8 in the fluctuating force on SNR are discussed. Based on the numerical computation, it is found that： （i） There appears a reentrant transition between one peak and two peaks and then to one peak again in the curve of SNR when the value of the time delay θ is increased. （ii） SR can be realized by tuning the time delay T or 8 with fixed noise, i.e., delay-induced stochastic resonance （DSR） exists.

通信时延和感知时延对车辆编队稳定性的影响

通信时延和传感器感知时延对智能车辆协同动作和行车安全至关重要。针对2类车辆编队控制策略(定常间距双向不对称控制和定常时距多前车跟车控制),引入通信时延和感知时延,并计算编队系统保持稳定性的通信时延阈值和感知时延阈值。首先,考虑到信息获取的便捷性和准确性,在直接相邻车辆的位移和速度分量上引入感知时延,在直接相邻车辆的加速度分量以及非直接邻居车辆的状态信息引入通信时延。将具有时延的信息用于反馈控制器。其次,对双向不对称控制下的同质车队及对多前车跟车控制下的异质车队进行模态分解得到多个低阶的双时延模态子系统。然后,基于双时延微分方程结构特性,提出了几何构型分析方法用于确定单个模态子系统保持稳定性的通信时延阈值和感知时延阈值。从而,车队系统稳定的通信时延阈值和感知时延阈值取决于解耦后的多个模态子系统。最后,进行了MATLAB数值仿真,研究通信时延和感知时延对2类编队系统稳定性的影响。仿真结果表明:在双向不对称控制下,当不对称度较大时,车队系统对时延具有较高容忍度;在定常时距单前车及两前车跟车控制下,车队系统的感知时延阈值和通信时延阈值随时距的增大整体上呈下降趋势。

Chaos synchronization with dual-channel time-delayed couplings

While the significance of oscillator dynamics and coupling structure to synchronization behaviors has been well addressed in the literature, little attention has been paid to the possible influence of coupling functions. In the present paper, adopting the scheme of dual-channel time-delayed couplings, we investigate how the synchronization behaviors of networked chaotic oscillators are influenced by parameters in the coupling functions. It is found that, with the introduction of the second coupling channel, the synchronization region, as calculated according to the method of master stability function(MSF), can be largely modified. In particular, by a slight change of the time delay, it is found that the synchronization region can be significantly adjusted, or even switched from non-existing to existing. We demonstrate this interesting phenomenon for both situations of processing and propagation induced time delays, as well as for different coupling functions. Our studies shed new light on the mechanism of chaos synchronization, and may potentially be used for the control of complex network dynamics.