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1)  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。
2)  delay independent stability
时滞无关稳定
1.
Based up on this,the sufficient conditions for delay independent stability of linear generalized system are proposed.
研究了广义线性时滞系统的稳定性,利用了矩阵的奇异值分解和广义逆,由此提出了系统时滞无关稳定的条件,并给出了闭环系统时滞无关镇定的条件。
2.
Based up on this, the sufficient conditions for delay independent stability of linear generalized system are proposed.
研究了广义时滞线性定常系统的稳定性,由此提出了系统时滞无关稳定的条件,并给出了一个与系统时滞相关稳定的充分条件。
3)  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)
4)  asymptotic stable independent of delay
时滞无关渐近稳定
1.
Applying Lyapunov function method and the property of the matrix measure and the matrix norm, some new sufficient conditions for asymptotic stable independent of delay of the linear systems with multiple time delay are presented.
综合利用Lyapunov 函数方法,结合矩阵测度和矩阵范数的性质, 通过加强不等式, 给出线性多时滞系统时滞无关渐近稳定的新的充分条件。
5)  stability independent of delay (i. o. d.)
与时滞无关之稳定
6)  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。
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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