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基于鞅论的随机神经网络稳定性分析与自适应同步研究
  • 项目名称：基于鞅论的随机神经网络稳定性分析与自适应同步研究
  • 项目类别：面上项目
  • 批准号：61075060
  • 申请代码：F030506
  • 项目来源：国家自然科学基金
  • 研究期限：2011-01-01-2013-12-31
  • 项目负责人：周武能
  • 负责人职称：教授
  • 依托单位：东华大学
  • 批准年度：2010
中文摘要：

在具有随机扰动的人工神经网络建模中，有些参数需要在线辨识，这就需要构造一个具有一定特性的响应系统和设计自适应控制器，使之与驱动系统同步。目前对随机神经网络（SNN）的自适应同步的研究颇少，所用方法大多采用Lyapunov稳定性理论或LaSalle不变集原理和线性矩阵不等式(LMI)技术。本项目拟研究基于鞅论的SNN均方渐近稳定性、均方指数稳定性和自适应同步问题。利用鞅收敛定理和布朗运动的鞅特性等得出SNN的均方渐近稳定和均方指数稳定的充分条件及其线性定常特例下的充要条件、基本SNN的自适应同步标准和具有混合时滞及Markovian切换的SNN自适应同步标准、以及驱动系统参数的在线辨识方法等。本项目不仅给SNN稳定性和自适应同步提供了一个新方法，也给一般具有随机扰动的系统稳定性研究带来与LMI不同的新思想。再者，本项目研究的SNN自适应同步方法在实际工业过程神经网络建模中具有一定的应用价值。

中文主题词： 神经网络；稳定性；自适应控制；同步；鞅论
英文摘要：

neural networks；stability；adaptive control；synchronization；martingale theory

英文主题词： neural networks；stability；adaptive control；synchronization；martingale theory
结论摘要：

在具有随机扰动的人工神经网络建模中，有些参数需要在线辨识，这就需要构造一个具有一定特性的响应系统和设计自适应控制器，使之与驱动系统同步。目前对随机神经网络（SNN）自适应同步的研究颇少，所用方法大多采用Lyapunov稳定性理论或LaSalle不变集原理和线性矩阵不等式(LMI)技术。本项目综合利用鞅论、M-矩阵、随机微分方程等方法研究了SNN和中立型SNN的渐近稳定性、p- 阶指数稳定性和自适应同步等，得出了SNN和中立型SNN的渐近稳定、p- 阶指数稳定和自适应同步标准以及驱动系统参数的在线辨识方法等， 取得了一系列创新性成果；发表了标注“NSFC 61075060”的相关学术论文67篇，其SCI论文33篇；申请相关国家发明专利2项，其中授权1项；申请相关国家实用新型专利15项，其中授权7项；获得相关省部级科研成果二等奖1项；培养在站博士后1名、博士生10名，其中毕业5名；培养硕士研究生16名，其中毕业9名；参加境外国际学术会议2次，出席人数4人次；参加境内国际学术会议5次，出席人数10人次。本项目不仅给SNN稳定性和自适应同步研究提供了一个新方法，也给一般具有随机扰动的系统稳定性研究带来与LMI不同的新思想。再者，本项目研究的SNN自适应同步方法在实际工业过程神经网络建模中具有一定的应用价值。

成果综合统计
成果类型
数量
  • 期刊论文
  • 会议论文
  • 专利
  • 获奖
  • 著作
  • 46
  • 23
  • 4
  • 1
  • 0
期刊论文
Adaptive synchronization for stochastic T-S fuzzy neural networks with time-delay and Markovian jump
A free-weighting matrices technique for stochastic stability analysis of uncertain singular hybrid s
Quasi-average mean square consensus for wireless sensor networks under three topologies with respect
Consensus of the distributed varying scale wireless sensor networks
无标度无线传感器网络的同步
Adaptive target synchronization for wireless sensor networks with Markov delays and noise perturbati
基于PLC和伺服控制的细绳卷绕成型机
Cross function projective synchronization of Liu system and the new Lorenz system with known and unk
Synchronization criterions between two identical or different fractional order chaotic systems
Target-synchronization of the distributed wireless sensor networks under the same sleeping-awaking m
Globally exponential stability of stochastic neutral-type delayed neural networks with impulsive per
Adaptive synchronization for stochastic neural networks of neutral-type with mixed time-delays
Mode and Delay-Dependent Adaptive Exponential Synchronization in pth Moment for Stochastic Delayed N
Generating a new chaotic attractor by feedback controlling method
Modified scaling function projective synchronization of chaotic systems
Proportional-delay adaptive control for global synchronization of complex networks with time-delay a
Comment on "Topology identification and adaptive synchronization of uncertain complex networks with
Adaptive almost surely asymptotically synchronization for stochastic delayed neural networks with Ma
Exponential synchronization analysis and control for discrete-time uncertain delay complex networks
Adaptive Exponential Synchronization in pth Moment of Neutral-Type Neural Networks with Time Delays
Synchronization control for the competitive complex networks with time delay and stochastic effects
压缩感知在车牌识别系统中的应用研究
基于双正交小波提升机制的图像融合方法
无线传感器网络在休眠-唤醒机制下的目标同步
Adaptive synchronization of uncertain chaotic systems with adaptive scaling function
Adaptive bidirectionally coupled synchronization of chaotic systems with unknown parameters
Time-Delay Dependent H-infinity Model Reduction for Uncertain Stochastic Systems: Continuous-Time Ca
Topology identification and adaptive synchronization of uncertain complex networks with adaptive dou
混沌系统同步性质的一个注记
Mean square function synchronization of chaotic systems with stochastic effects
Delay-dependent robust H-infinity control for uncertain singular time-delay system with Markovian ju
An Efficient Inverse Kinematic Algorithm for a PUMA560-Structured Robot Manipulator
Impulsive synchronization of multilinks delayed coupled complex networks with perturb effects
Exponential synchronization of the coupling delayed switching complex dynamical networks via impulsi
Chaos synchronization between two different fractional-order hyperchaotic systems
A new four-scroll chaotic attractor consisted of two-scroll transient chaotic and two-scroll ultimat
H-infinity model reduction for port-controlled Hamiltonian systems
Adaptive Synchronization of the Complex Dynamical Network with Double Non-delayed and Double Delayed
椭圆曲线密码中抗功耗分析攻击的标量乘改进方案
具有切换拓扑和时滞的复杂网络自适应同步控制研究
不确定复杂网络的均方指数同步
基于WiFi的无线脉搏腕表系统的开发
Mean square exponential synchronization in Lagrange sense for uncertain complex dynamical networks
Topology identification of the modified complex dynamical network with non-delayed and delayed coupl
会议论文
Applications of digital filters in a wireless liquid level control system
Energy efficient and cluster based routing protocol for WSN
Projective synchronization control of delayed recurrent neural networks with Markovian jumping param
Robust proportional-differential control for uncertain singular type neutral system with time delay
Local synchronization for complex dynamical networks with switching coupling matrices and time delay
A type of autoleveller of high speed drawing frame based on minimum variance control
A mode and control adaptive almost surely asymptotically synchronization for stochastic time delay n
Synchronization of neutral stochastic neural networks with mixed time delays
无标度无线传感器网络的同步
Various methods for modified projective synchronization of Liu system and the new Lorenz system
Function projective synchronization of Liu system and the new Lorenz system with known and unknown p
Target tracking of filtering wireless sensor networks under the adaptive controller
Function projective synchronization of different chaotic systems
Adaptive synchronization control for uncertain master-slave dynamical system with time delay and sto
Quasi-average consensus of wireless sensor networks under fixed and varying topologies with respect
RBF neural networks based on particle swarm optimization and its application in control system of fl
An ECDSA signature scheme designs for PBOC 2.0 specifications
Genetic algorithm-base localization algorithm for wireless sensor networks
H∞ model approximation for uncertain stochastic systems: discrete-time case
Stochastic global exponential stability of neutral-type impulsive neural networks with both Markovia
Anti-synchronization control of unknown chaotic neural networks with delay and noise perturbation
Global exponential stability of fuzzy logical BAM neural networks with Markovian jumping parameters
A class of Delayed BAM self-adaptive neural network with uncertain parameters for projective synchro
专利
一种基于WIFI具有语音播报功能的无线脉搏测量装置
一种基于Wi-Fi技术的健身测评系统
一种自调匀整系统的自适应控制方法
一种基于Wi-Fi的无线脉搏腕表
获奖
“对阳光体育长廊”信息系统的研究
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周武能的项目
Levy噪声驱动的随机神经网络稳定性同步与最优控制
期刊论文 2