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脉冲干扰复数域Cohen-Grossberg神经网络的稳定性 被引量:2
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作者 徐晓惠 徐全 +2 位作者 施继忠 张继业 陈子龙 《西南交通大学学报》 EI CSCD 北大核心 2018年第4期820-828,共9页
为了分析脉冲干扰因素对复数域神经网络的影响,研究了一类具有脉冲干扰的变时滞复数域CohenGrossberg神经网络的平衡点的动态行为.在假定放大函数、自反馈函数以及激活函数定义在复数域的情况下,首先,利用M矩阵和同胚映射的相关原理,分... 为了分析脉冲干扰因素对复数域神经网络的影响,研究了一类具有脉冲干扰的变时滞复数域CohenGrossberg神经网络的平衡点的动态行为.在假定放大函数、自反馈函数以及激活函数定义在复数域的情况下,首先,利用M矩阵和同胚映射的相关原理,分析了该系统平衡点的存在性和唯一性;其次,利用向量Lyapunov函数法以及数学归纳法,研究了该系统平衡点的全局模指数稳定性,并建立的稳定性判据;最后,通过两个数值仿真算例验证了所得结论的实用性和正确性.仿真结果显示系统状态在0.5 s便可收敛到平衡状态.研究结果表明:时滞和脉冲干扰强度越大、放大函数越小,则神经元状态的指数收敛速度越慢. 展开更多
关键词 COHEN-GROSSBERG神经网络 复数域 脉冲干扰 变时滞 模指数稳定性 LYAPUNOV函数
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Exponential Attitude-Orbit Coordinated Control for Gravitational-Wave Detection Spacecraft Formation with Large-Scale Communication Delays
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作者 XING Youpeng SONG Yinsheng +1 位作者 YIN Zeyang CHEN Xiaofang 《Transactions of Nanjing University of Aeronautics and Astronautics》 2025年第1期70-79,共10页
This paper concerns the exponential attitude-orbit coordinated control problems for gravitational-wave detection formation spacecraft systems.Notably,the large-scale communication delays resulting from oversized inter... This paper concerns the exponential attitude-orbit coordinated control problems for gravitational-wave detection formation spacecraft systems.Notably,the large-scale communication delays resulting from oversized inter-satellite distance of space-based laser interferometers are first modeled.Subject to the delayed communication behaviors,a new delay-dependent attitude-orbit coordinated controller is designed.Moreover,by reconstructing the less conservative Lyapunov-Krasovskii functional and free-weight matrices,sufficient criteria are derived to ensure the exponential stability of the closed-loop relative translation and attitude error system.Finally,a simulation example is employed to illustrate the numerical validity of the proposed controller for in-orbit detection missions. 展开更多
关键词 gravitational-wave detection spacecraft formation attitude-orbit coordinated control large-scale communication delays exponential stability
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Exponential Stability of Large-Scale Non-Linear Systems with Multiple The Delays
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作者 解三名 吴叶军 吴沧浦 《Journal of Beijing Institute of Technology》 EI CAS 1995年第1期41+36-41,共7页
The problem of stabilizing a class of large-scale non-linear multiple delay systems is considered.The complicated system is decomposed into several subsystems; each function of them is expressed by a set of components... The problem of stabilizing a class of large-scale non-linear multiple delay systems is considered.The complicated system is decomposed into several subsystems; each function of them is expressed by a set of components of the overall state vector,with interconnections between them, and the subsystems are coupled by the delayed state. In this paper, a method is devised to be a suitable choice of state feedback controls of every subsystems, moreover, it is proved that the large-scale system is exponential stable. 展开更多
关键词 large-scale systems/exponential stability multiple delay systems
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