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31.
In this paper we introduce certain constants that characterize exponential stability or exponential unstability of discrete linear time varying systems. We also present bounds for Lyapunov and Perron exponents in terms of the introduced constants.  相似文献   
32.
讨论了一个新的单参数混沌系统的反馈同步问题,基于Lvapunov稳定性理论,当系统参数已知和未知时,分别给出了多个简便且容易实现的控制器,另外,当控制参数值增加时,比较了同步的速度.最后仿真结果表明了该方法的有效性.  相似文献   
33.
研究了一类不确定离散切换线性奇异(SLS)系统任意切换律下的鲁棒容许性问题.假设系统参数不确定性满足范数有界条件.首先,采用切换Lyapunov函数方法,给出了一些新的保证名义离散SLS系统任意切换律下正则、无脉冲以及渐进稳定的充分条件,且条件表示为线性矩阵不等式形式.基于获得的条件,进一步给出了保证不确定离散SLS系统任意切换律下鲁棒容许的条件.将正常切换系统的切换Lyapunov函数方法推广到奇异切换系统.数值例子说明了该方法保守性的降低及可行性.  相似文献   
34.
Through the research into the characteristics of 7-DoF high dimensional nonlinear dynamics of a vehicle on bumpy road, the periodic movement and chaotic behavior of the vehicle were found.The methods of nonlinear frequency response analysis, global bifurcation, frequency chart and Poincaré maps were used simultaneously to derive strange super chaotic attractor.According to Lyapunov exponents calculated by Gram-Schmidt method, the unstable region was compartmentalized and the super chaotic characteristic of the nonlinear system was verified.Numerical results by 4-order Runge-Kutta method presented the multiform dynamic behavior of the system.  相似文献   
35.
During competition, kayak athletes must optimally adapt to environmental factors (e.g. wind, waves) to achieve peak performance. However, the ability to adapt to such perturbations has never been assessed in kayak paddling. Therefore, the aim of the current study was to evaluate the local dynamic stability in sports technique of youth sprint kayak athletes. In a cross-sectional study, 14 healthy male athletes were recruited from an elite youth sprint kayak squad. During an incremental kayak ergometer test, mean power, heart rates and local dynamic technique stability of hands, arms, trunk and paddle were registered and the association with the athletes 2000?m free-water times were estimated using mixed models. The 2000?m free-water performance significantly predicted the paddles (p?=?.037) local dynamic stability whereas no association was found for the trunk or the upper extremity kinematics. In conclusion, kayak athletes with high-performance capability over 2000?m paddling depict high local dynamic technique stability. This emphasizes the importance of a stable technique for advanced kayak skills, especially regarding paddling movements.  相似文献   
36.
通过构造适当的Lyapunov函数,建立了一类基于比率且具有Machaelis-Menten型功能性反应的三种群离散捕食系统正解稳定性的充分条件。  相似文献   
37.
研究了一类中立系统的稳定性问题,设计一个基于观测器的状态反馈器。采用描述器方法,利用Lypunov函数,不对V函数的导数放大,而是引用一些恰当的0项,通过解两个LMI,获得了误差系统和原系统的时滞相关稳定性的充分条件。同时解决了系统增益问题。最后一个数值例子说明了设计方法的有效性和可行性。  相似文献   
38.
Using an example,it was analytically proved that the dynamical systems constructed on a star coupled network is more easy to be synchronized than that in coupled map lattices(CML).The result shows that the synchronization in small-world networks may be realized more easily.  相似文献   
39.
A chaotic dynamical system is characterized by a positive averaged exponential separation of two neighboring trajectories over a chaotic attractor. Knowledge of the Largest Lyapunov Exponent λ1 of a dynamical system over a bounded attractor is necessary and sufficient for determining whether it is chaotic (λ1>0) or not (λ1≤0). We intended in this work to elaborate the connection between Local Lyapunov Exponents and the Largest Lyapunov Exponent where an altemative method to calculate λ1has emerged. Finally, we investigated some characteristics of the fixed points and periodic orbits embedded within a chaotic attractor which led to the conclusion of the existence of chaotic attractors that may not embed in any fixed point or periodic orbit within it.  相似文献   
40.
文章针对网络时延和数据包丢失同时存在的情况下,将网络控制系统建模为具有事件约束条件的异步动态系统,利用李雅普诺夫函数和线性矩阵不等式原理,提出了网络控制系统指数稳定性的充分条件,并通过求解矩阵得出系统指数稳定的状态反馈控制律。最后的仿真表明该条件是有效的。  相似文献   
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