线性时滞广义系统的时滞相关稳定性

On Delay-Dependent Stability For Linear Descriptor Systems With Delay

本文研究了线性时滞广义系统的时滞相关稳定性。首先将该系统转化为一个带约束条件的中立型系统,然后利用Lyapunov-Krasovskii V泛函方法,利用Park不等式,获得了基于LMI的时滞相关稳定充分条件,该条件具有一般性,包含正常线性时滞系统作为其特例。最后的数值例子表明所得结论较已有文献具有较小的保守性。

The delay-dependent stability condition of the linear descriptor systems with delay is discussed. At first, the descriptor system is presented as a neutral system with a linear constraint, then the Lyapunov-Krasovskii functional method and the Park inequality are used. The delay-dependent stability sufficient condition, which is with generality and includes the regular linear system with delay as a special case, is derived to ensure the descriptor system to be asymptotically stable. At last, some examples are given to illustrate that the new sufficient condition is less conservative than the results given by previous literature.