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脉冲Hopfield神经网络的鲁棒H-稳定性及其脉冲控制器设计(英文) 被引量:7
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作者 刘斌 刘新芝 廖晓昕 《控制理论与应用》 EI CAS CSCD 北大核心 2003年第2期168-172,共5页
研究了脉冲Hopfield神经网络在Hopfield意义下的鲁棒稳定性 .通过应用Lyapunov函数法和Riccati不等式方法 ,得到了脉冲Hopfield神经网络鲁棒稳定和鲁棒渐近稳定的充分条件 ,在此基础上 ,设计出了易于实施的脉冲控制器来镇定Hopfield神... 研究了脉冲Hopfield神经网络在Hopfield意义下的鲁棒稳定性 .通过应用Lyapunov函数法和Riccati不等式方法 ,得到了脉冲Hopfield神经网络鲁棒稳定和鲁棒渐近稳定的充分条件 ,在此基础上 ,设计出了易于实施的脉冲控制器来镇定Hopfield神经网络 .最后 ,给出了例子 . 展开更多
关键词 脉冲Hopfield神经网络 鲁棒h-稳定性 脉冲控制器 设计 LYAPUNOV函数 RICCATI不等式
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梯度神经网络的H-稳定性
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作者 冯芙叶 赵高长 张佺举 《西北农林科技大学学报(自然科学版)》 CSCD 北大核心 2003年第1期145-147,共3页
给出总体极小化问题的神经网络模型 ,分析了网络的电路实现。证明了网络平稳点集合的全局 H-稳定性 。
关键词 神经网络 全局h-稳定性 平衡点集 梯度网络 电路 优化组合
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梯度神经网络的全局H-稳定性与吸引域
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作者 张全举 《西安电子科技大学学报》 EI CAS CSCD 北大核心 2001年第4期546-548,共3页
提出了在平稳点有限的情况下无约束极小化问题的神经网络求解模型 ,给出了网络的全局稳定性分析以及各个平稳点的吸引域估计 ,证明了网络平衡点集合的全局H 收敛性 .对网络的可靠运行与有效运行提供了理论基础 .
关键词 梯度神经网络 h-稳定性 极小化问题 吸引域
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时标上脉冲动力系统的h-稳定性
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作者 展正然 袁国强 《山东大学学报(理学版)》 CAS CSCD 北大核心 2012年第8期22-27,共6页
借助比较动力系统的h-φ0-稳定性和锥值Lyapunov函数方法,在时标上建立了脉冲动力系统h-稳定性的一些判定准则。
关键词 脉冲动力系统 h-稳定性 h-φ0-稳定性 锥值LYAPUNOV函数
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时标上脉冲动态系统的h-稳定
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作者 孔栋 张立琴 《科学技术与工程》 2011年第32期7870-7872,共3页
分别借助李雅普诺夫函数直接方法和比较方法,研究了时标上具有固定时刻脉冲的动态系统的h-稳定性。
关键词 时标 脉冲动态系统 h-稳定性
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The H-stability of the Solution for Infinite Delay Functional Differential Equation
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作者 李晓爱 尚德庆 《Chinese Quarterly Journal of Mathematics》 CSCD 1998年第4期94-98, ,共5页
H stability is a new and important concept. In this paper,we discuss the equationx(t)=-a(t)x(t)+∫ t -∞ k(t,s-t,x(s)) d sand we gain a new decision theorem. Using this decision theorem,we obtained a very extensive re... H stability is a new and important concept. In this paper,we discuss the equationx(t)=-a(t)x(t)+∫ t -∞ k(t,s-t,x(s)) d sand we gain a new decision theorem. Using this decision theorem,we obtained a very extensive result of the H uniformly asymptotical stability of this equation. That is,eliminating the restriction that a(t) is bounded. 展开更多
关键词 H stability Liapunov functional integral differential equation
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Density Functional Theory Study for Adsorption of Oxygen and Water Molecules on 6H-SiC(0001) Surface 被引量:2
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作者 Chun-he Fu Hui-li Lu Shao-rui Sun 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2019年第4期451-456,I0002,I0003,共8页
6H-SiC is an important semiconductor material. The 6H-SiC wafer is always exposed to a high-humidity environment and the effect from the absorbed water molecule and some relative adsorbates is not negligible. Here, th... 6H-SiC is an important semiconductor material. The 6H-SiC wafer is always exposed to a high-humidity environment and the effect from the absorbed water molecule and some relative adsorbates is not negligible. Here, the oxygen and water molecules absorbed on the 6H-SiC(0001) surface and the dissociation process were studied with density functional theory. On the 6H-SiC(0001) surface, absorbed O2 is spontaneously dissociated into O*, which is absorbed on a hollow site, and further transforms the 6H-SiC(0001) surface into SiO2. The absorbed H2O is spontaneously broken into OH*and H*, which are both absorbed on the top of the Si atom, and OH* is further reversibly transformed into O* and H*. The H* could saturate the dangling Si bond and change the absorption type of O*, which could stabilize the 6H-SiC(0001) surface and prevent it from transforming into SiO2. 展开更多
关键词 6h-SiC(0001) surface H2O absorption Dangling Si bond Stability Density functional theory
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微分系统的h稳定性 被引量:1
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作者 王培光 李社军 展正然 《数学的实践与认识》 CSCD 北大核心 2008年第10期187-190,共4页
借助比较微分系统的h-φ0稳定性,利用锥值Lyapunov函数方法,建立了微分系统h稳定性的判定准则.
关键词 微分系统 h稳定性 φ0稳定性 h-φ0稳定性 锥值LYAPUNOV函数
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具有无限时滞中立型泛函微分方程解的有界性 被引量:2
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作者 迪申加卜 《工程数学学报》 CSCD 北大核心 2004年第4期631-634,638,共5页
研究了具有无限时滞中立型泛函微分方程解的有界性,得到了方程解的h-指数渐近稳定性蕴涵h-有界解的存在性的新的结果。
关键词 中立型微分方程 无限时滞 h-指数渐近稳定性 h-有界性
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Singular Stabilization and H_∞ Control of Nonlinear Systems with Ordinary Homogeneous Properties
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作者 FANG Jian-yin MU Xiao-wu 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2005年第3期280-288,共9页
In this paper, the nonlinear singular stabilization, H∞ control problem of systems with ordinary homogeneous properties is considered. At first, we discuss the stabilization problems of nonlinear systems with homogen... In this paper, the nonlinear singular stabilization, H∞ control problem of systems with ordinary homogeneous properties is considered. At first, we discuss the stabilization problems of nonlinear systems with homogeneous. Secondly, by vitue of Hamilton-Jacobi-Isaacs equations or inequalities, we solve regular H∞ of nonlinear systems with homogeneous properties. To overcome the H∞ problem of singular nonlinear system, we try to transform inputs of the singular nonlinear system into two parts: regular part input and singular part input. Following the previous results, we solve the singular nonlinear system H∞ control, we give the Lyapunov function and the state feedback controller of the singular nonlinear systems with homogeneous properties. 展开更多
关键词 STABILIZATION H∞ control homogeneous system singular system regular system feedback state control
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Robust control with compensation of adaptive model for dual-stage inertially stabilized platform 被引量:3
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作者 SONG Jiang-peng ZHOU Di +1 位作者 SUN Guang-li QI Zhi-hui 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第11期2615-2625,共11页
To achieve excellent tracking accuracy,a coarse-fine dual-stage control system is chosen for inertially stabilized platform.The coarse stage is a conventional inertially stabilized platform,and the fine stage is a sec... To achieve excellent tracking accuracy,a coarse-fine dual-stage control system is chosen for inertially stabilized platform.The coarse stage is a conventional inertially stabilized platform,and the fine stage is a secondary servo mechanism to control lens motion in the imaging optical path.Firstly,the dual-stage dynamics is mathematically modeled as a coupling multi-input multi-output(MIMO)control system.Then,by incorporating compensation of adaptive model to deal with parameter variations and nonlinearity,a systematic robust H∞control scheme is designed,which can achieve good tracking performance,as well as improve system robustness against model uncertainties.Lyapunov stability analysis confirmed the stability of the overall control system.Finally,simulation and experiment results are provided to demonstrate the feasibility and effectiveness of the proposed control design method. 展开更多
关键词 dual-stage control inertially stabilized platform robust H∞control adaptive model
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Fuzzy robust sliding mode control of a class of uncertain systems 被引量:6
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作者 REN Li-tong 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第9期2296-2304,共9页
Aiming at a class of systems under parameter perturbations and unknown external disturbances, a method of fuzzy robust sliding mode control was proposed. Firstly, an integral sliding mode surface containing state feed... Aiming at a class of systems under parameter perturbations and unknown external disturbances, a method of fuzzy robust sliding mode control was proposed. Firstly, an integral sliding mode surface containing state feedback item was designed based on robust H∞ control theory. The robust state feedback control was utilized to substitute for the equivalent control of the traditional sliding mode control. Thus the robustness of systems sliding mode motion was improved even the initial states were unknown. Furthermore, when the upper bound of disturbance was unknown, the switching control logic was difficult to design, and the drawbacks of chattering in sliding mode control should also be considered simultaneously. To solve the above-mentioned problems, the fuzzy nonlinear method was applied to approximate the switching control term. Based on the Lyapunov stability theory, the parameter adaptive law which could guarantee the system stability was devised. The proposed control strategy could reduce the system chattering effectively. And the control input would not switch sharply, which improved the practicality of the sliding mode controller. Finally, simulation was conducted on system with parameter perturbations and unknown external disturbances. The result shows that the proposed method could enhance the approaching motion performance effectively. The chattering phenomenon is weakened, and the system possesses stronger robustness against parameter perturbations and external disturbances. 展开更多
关键词 uncertain systems robust control fuzzy sliding mode control CHATTERING
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EXTENDED CASIMIR APPROACH TO CONTROLLED HAMILTONIAN SYSTEMS 被引量:1
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作者 Yuqian GUO Daizhan CHENG 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2006年第2期211-218,共8页
In this paper, we first propose an extended Casimir method for energy-shaping. Then it is used to solve some control problems of Hamiltonian systems. To solve the Hoo control problem, the energy function of a Hamilton... In this paper, we first propose an extended Casimir method for energy-shaping. Then it is used to solve some control problems of Hamiltonian systems. To solve the Hoo control problem, the energy function of a Hamiltonian system is shaped to such a form that could be a candidate solution of HJI inequality. Next, the energy function is shaped as a candidate of control ISS-Lyapunov function, and then the input-to-state stabilization of port-controlled Hamiltonian systems is achieved. Some easily verifiable sufficient conditions are presented. 展开更多
关键词 Casimir function Energy-shaping H∞ control Input-to-state stabilization.
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