针对一类非线性时变时滞系统,研究其稳定性和吸引域的估计问题.首先,通过坐标变换和正交分解法,将这类系统转化为一个等价形式.其次,基于正交条件和引入自由权矩阵,给出了这类系统具有较小保守性的稳定性和吸引域估计结果.最后,仿真例子验证了所提出方法的有效性.
The stability and estimate of domain of attraction are studied for a class of nonlinear time-varying delay systems.Firstly,an equivalent form is obtained for the systems by means of coordinate transformation and orthogonal decomposition of vector fields.Then,based on the orthogonal condition and the free-weighting matrix method,several less conservative results are derived on the stability and estimate of domain of attraction.Finally,illustrative examples show effectiveness of the proposed method.