时滞系统稳定判据的等价性证明

近期,自由权矩阵技术成为处理时滞系统时滞相关稳定的重要方法.论文采用积分不等式方法获得一类不包含任何自由权矩阵的时滞相关稳定简化型判据,这些判据理论上证明是等价于目前存在的一些包含自由权矩阵稳定结论的,因此,通过此法可以有效降低结论的运算量.

On equivalence of stability criteria for time-delay systems

In recent years, free weighting matrix approach is an important technique to deal with the delay-dependent stability problem for systems with time-varying delay. In this paper, some simplified delay-dependent stability criteria are derived by using a simple integral inequality, in which no free weighting matrix is involved. These presented results turn out to be equivalent to some latest results but include the least number of variables. This feature can largely reduce the computational burden of the obtained LMI conditions.