Stability of Linear Systems With Time‐Varying Delay: a Generalized Discretized Lyapunov Functional Approach
Stability of Linear Systems With Time‐Varying Delay: a Generalized Discretized Lyapunov Functional Approach
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DOI：
10.1111/j.1934-6093.2001.tb00056.x
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发表时间：
2001-09
影响因子：
2.4
通讯作者：
Q. Han;K. Gu
中科院分区：
文献类型：
--
作者：
Q. Han;K. Gu
本文研究了时变时滞线性不确定系统的稳定性。稳定性标准是基于广义离散李亚普诺夫函数方法导出的。函数的核是两个变量的函数，被选择为分段线性。稳定性条件以线性矩阵不等式的形式写出。数值例子表明对现有结果的显着改进。
This paper investigates the stability of linear uncertain systems with time‐varying delay. Stability criteria are derived based on a generalized discretized Lyapunov functional approach. The kernel of the functional, which is a function of two variables, is chosen as piecewise linear. The stability conditions are written in the form of linear matrix inequalities. Numerical examples indicate significant improvements over the existing results.