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调和映射中的Liouville型定理
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作者 赵迪 潘养廉 《数学年刊(A辑)》 CSCD 北大核心 1996年第3期255-258,共4页
本文讨论一类调和映射的非存在性问题,并且得到了相应的Liouville型定理.
关键词 稳定不等式 调和映射 LIOUVILLE定理 黎曼流形
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调和映射的一个非存在性定理
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作者 李红裔 赵迪 《华北水利水电学院学报》 1995年第2期84-86,共3页
本文利用忻元龙教授关于稳定不等式的理论。
关键词 稳定调和映射 稳定不等式 调和映射
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分数阶时滞非线性多智能体系统的自适应控制 被引量:3
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作者 李妍 毛志忠 +1 位作者 郭永亮 张艳珠 《控制理论与应用》 EI CAS CSCD 北大核心 2023年第6期1089-1096,共8页
针对分数阶多智能体系统中存在时滞和非线性特性,时滞往往会引起控制系统的性能下降甚至出现系统不稳定等问题,提出了一种含时滞非线性的分数阶多智能体系统自适应控制方法.对于多智能体系统的控制协议,设计了基于领导者和相邻智能体状... 针对分数阶多智能体系统中存在时滞和非线性特性,时滞往往会引起控制系统的性能下降甚至出现系统不稳定等问题,提出了一种含时滞非线性的分数阶多智能体系统自适应控制方法.对于多智能体系统的控制协议,设计了基于领导者和相邻智能体状态信息的自适应控制协议,减小了过大常数控制增益带来的能源浪费.对于一致性,利用图论基础、分数阶Halanay不等式稳定性定理、Kronecker积和Schur补引理,获得了分数阶时滞非线性多智能体系统的LMI一致性条件.仿真结果验证了本文算法的正确性和有效性.由于整数阶系统是分数阶系统的特殊形式,本文结论可以直接推广到整数阶多智能体系统中. 展开更多
关键词 分数阶多智能体系统 一致性 时滞 自适应控制 分数阶Halanay不等式稳定性定理
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State feedback control for Lurie networked control systems 被引量:1
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作者 陈刚 朱红求 +1 位作者 阳春华 胡春华 《Journal of Central South University》 SCIE EI CAS 2012年第12期3510-3515,共6页
The problem of the stability analysis and controller design which the network-induced delays and data dropout problems network-induced delays are assumed to be time-varying and bounded, for Lurie networked control sys... The problem of the stability analysis and controller design which the network-induced delays and data dropout problems network-induced delays are assumed to be time-varying and bounded, for Lurie networked control systems (NCSs) is investigated, in are simultaneously considered. By considering that the and analyzing the relationship between the delay and its upper bound, employing a Lyapunov-Krasovskii function and an integral inequality approach, an improved stability criterion for NCSs is proposed. Furthermore, the resulting condition is extended to design a less conservative state feedback controller by employing an improved cone complementary linearization (ICCL) algorithm. Numerical examples are provided to show the effectiveness of the method. 展开更多
关键词 networked control systems stability and stabilization network-induced delay cone complementary linearizationalgorithm
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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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