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代数等式系有穷公理化的一个扩充定理 被引量:3
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作者 王驹 赵希顺 《软件学报》 EI CSCD 北大核心 1999年第3期332-335,共4页
首先介绍两个概念:主同余类的弱可定义性以及次直不可分解类的可定义性.证明了任一有穷代数A,若V(A)具有弱可定义的主同余类以及可定义次直不可分解类,则它的等式系是可以有穷公理化的.进一步的讨论揭示出其结果是新的,是对... 首先介绍两个概念:主同余类的弱可定义性以及次直不可分解类的可定义性.证明了任一有穷代数A,若V(A)具有弱可定义的主同余类以及可定义次直不可分解类,则它的等式系是可以有穷公理化的.进一步的讨论揭示出其结果是新的,是对已有工作的有意义的扩充. 展开更多
关键词 主同余类 计算机理论 代数等式系 有穷公理化
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Error code analysis and selection principle of M-ary modulation in network-based control systems
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作者 赵顺利 尹逊和 +1 位作者 魏学业 H. K. LAM 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第6期1372-1382,共11页
Error codes induced by M-ary modulation and modulation selection in network-based control systems are studied.It is the first time the issue of error codes induced by M-ary modulation is addressed in control field.In ... Error codes induced by M-ary modulation and modulation selection in network-based control systems are studied.It is the first time the issue of error codes induced by M-ary modulation is addressed in control field.In network-based control systems,error codes induced by noisy channel can significantly decrease the quality of control.To solve this problem,the network-based control system with delay and noisy channel is firstly modeled as an asynchronous dynamic system(ADS).Secondly,conditions of packet with error codes(PEC)loss rate by using M-ary modulation are obtained based on dynamic output feedback scheme.Thirdly,more importantly,the selection principle of M-ary modulation is proposed according to the measured signal-to-noise ratio(SNR)and conditions of PEC loss rate.Finally,system stability is analyzed and controller is designed through Lyapunov function and linear matrix inequality(LMI)scheme,and numerical simulations are made to demonstrate the effectiveness of the proposed scheme. 展开更多
关键词 network-based control system asynchronous dynamic system (ADS) M-ary modulation delay error code linear matrix inequality (LMI)
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