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多时滞Cohen-Grossberg神经网络鲁棒稳定性的新判据 被引量:5
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作者 季策 张化光 关焕新 《电子学报》 EI CAS CSCD 北大核心 2007年第1期135-140,共6页
分析了一类具有多时滞及参数摄动的Cohen-Grossberg神经网络的全局鲁棒稳定性.通过构造适当的Lyapunov泛函,以线性矩阵不等式形式给出了平衡点全局鲁棒稳定的判据.此外,所有结论的建立都不需要假定互连矩阵的对称性及激活函数的可微性... 分析了一类具有多时滞及参数摄动的Cohen-Grossberg神经网络的全局鲁棒稳定性.通过构造适当的Lyapunov泛函,以线性矩阵不等式形式给出了平衡点全局鲁棒稳定的判据.此外,所有结论的建立都不需要假定互连矩阵的对称性及激活函数的可微性和单调性.仿真结果进一步证明了结论的有效性. 展开更多
关键词 COHEN-GROSSBERG神经网络 多时滞 参数摄动 鲁棒稳定性 线性矩阵不等式(LMI) eyapunov泛函
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岩石单轴压缩过程变形模量的最大Lyapunov指数分析 被引量:3
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作者 陈绍杰 刘江波 +1 位作者 王怀远 钟宜涛 《山东科技大学学报(自然科学版)》 CAS 2014年第2期48-52,共5页
应用Lyapunov评价准则对六种岩石单轴压缩过程的变形模量时间序列进行了分析。根据变形模量的变化定性,描述了岩石在加载过程中弹性、塑性和破坏三种状态。通过对岩石三种状态时间序列相应的最大Lyapunov指数进行分析,发现变形模量的变... 应用Lyapunov评价准则对六种岩石单轴压缩过程的变形模量时间序列进行了分析。根据变形模量的变化定性,描述了岩石在加载过程中弹性、塑性和破坏三种状态。通过对岩石三种状态时间序列相应的最大Lyapunov指数进行分析,发现变形模量的变化和Logistic映射周期点点数的变化有着相似之处;岩石全应力-应变曲线中变形模量先由无序状态进入稳定状态,再进入强混沌状态;随着三个状态的演变,相应变形模量的平均演化距离逐渐呈现离散状态。 展开更多
关键词 单轴压缩 变形模量 LYAPUNOV指数 LOGISTIC映射
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Investigation on Walking and Pacing Stability of German Shepherd Dog for Different Locomotion Speeds 被引量:2
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作者 Weijun Tian Qian Cong Carlo Menonz 《Journal of Bionic Engineering》 SCIE EI CSCD 2011年第1期18-24,共7页
The motion of three German Shepherd Dogs on a treadmill was recorded using a three-dimensional motion capture system. The locomotion speed of the dog was respectively set at 4km·h^-1, 5.5km·h^-1, 7 km·h... The motion of three German Shepherd Dogs on a treadmill was recorded using a three-dimensional motion capture system. The locomotion speed of the dog was respectively set at 4km·h^-1, 5.5km·h^-1, 7 km·h^-1 and 8.5 km·h^-1. By processing the acquired data, the joint trajectories of the dogs' hind limbs were computed and a time series analysis was conducted. Joint angle-angle diagrams were obtained and the Lyapunov exponents were computed. Results show that the stability decreased when speed increased, which can be attributed to the decrease in the stance phase respect to the swing phase when speed is increased. Results also show that the dogs changed gait during the tests, namely walking in the range of 4 km·h^-1 to 7 km·h^-1 and pacing at 8.5 km·h^-1 A significant drop in stability was observed from walking to pacing. 展开更多
关键词 STABILITY GAIT locomotion DOG dynamics eyapunov exponents
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