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1)  delay-dependent stability
时滞相关稳定性
1.
Improved delay-dependent stability criteria for stochastic systems with time-varying interval delay
区间时滞随机系统的时滞相关稳定性改进判据(英文)
2)  delay-dependent robust stability
时滞相关鲁棒稳定性
1.
In this paper,the system with multiple time-delays is transformed,then a suitable Lyapunov function is selected,the delay-dependent robust stability condition for Lurie control systems with multiple time-delays is obtained by applying Lyapunov stability method and associating with Moon s lemma,and the condition is given by a linear matrix inequality (LMI).
本文对多时滞Lurie控制系统进行了变换,然后选择一个适当的Lyapunov函数,利用Lyapunov稳定性方法并结合Moon引理,得到了多时滞Lurie控制系统的时滞相关鲁棒稳定性判别条件,该条件是以线性矩阵不等式(LMI)给出的,可用Matlab求解。
3)  delay-dependent stability criterion
时滞相关型稳定性判据
4)  delay-dependent stability
时滞相关稳定
1.
Based on Liapunov stability theory combined with linear matrix inequalities(LMIs) techniques,asymptotic stability of the system is analyzed and some delay-dependent stability criteria in terms of LMIs were derived.
通过该方法,能够分析和判定具有多时滞和不确定性网络控制系统的时滞相关稳定性
2.
The delay-dependent stability of networked control systems(NCSs) with uncertainties and multiple time-varying delays is investigated in this paper.
讨论了具有不确定性和多时变时滞的网络控制系统(NCSs)的时滞相关稳定性
5)  delay-independent stability
时滞无关稳定性
1.
The comparison principle of the multiple rational delays discrete systems and the frequency domain method are employed to reduce the multiple rational time delay discrete systems with interval coefficient to the multiple rational time delay in-varying discrete systems,and to study their delay-independent stability.
应用多组有理数时滞离散系统的比较原理和频域法,将多组有理数时滞区间系数离散系统化为多组有理数时滞定常离散系统,以判定其时滞无关稳定性,并举例说明了新定理的有效性和实用性。
2.
Based on LMI, we give the sufficiency criterion about delay-independent stability and performance of persistent bounded disturbance rejection for time-delay systems by Lyapunov method.
基于LMI,我们利用Lyapunov函数方法给出了时滞系统的时滞无关稳定性及对持续有界扰动抑制性能的充分性判据。
6)  delay dependent asymptotic stability
时滞相关渐近稳定
1.
The conditions for delay dependent asymptotic stability are given for the single time delay system by applying Lyapunov approach and structuring a parameter dependent Lyapunov function and using the property of matrix characteristic value and matrix norm, and the results obtained for the single time delay system are extended to the uncertain multiple time delay system.
针对单时滞不确定系统 ,利用Lyapunov方法 ,通过构造一个参数相关的Lyapunov函数 ,并借助短阵不等式和矩阵特征值及矩阵范数的性质 ,给出了单时滞不确定系统时滞相关渐近稳定的判别条件 ,并将所得结果推广到多时滞不确定系统 ,得到了多时滞不确定系统时滞相关渐近稳定的判别条件 。
补充资料:时滞系统的稳定性
      时滞系统在初始扰动下的运动能回复或趋近平衡状态的性能。包含时滞环节的系统称为时滞系统。时滞环节的特点是它的输出变量相对于输入变量存在时间上的滞后τ。与输气管道中压力波传播过程相应的环节是时滞环节的一个例子。时滞τ的大小对时滞系统的稳定性有极大影响,常可采用临界时滞τc来表征系统的允许时滞范围,它是改变时滞τ使系统由渐近稳定变为不稳定时的一个临界值。研究时滞系统稳定性常用的方?ㄓ衅德视蚍椒?(见米哈伊洛夫稳定判据、奈奎斯特稳定判据)和李雅普诺夫函数法(见李雅普诺夫稳定性理论),它们在应用上和判断无时滞系统的稳定性时没有区别。对于多时滞系统和变时滞系统,稳定性的分析过程要更为复杂。
  

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