一类拟线性时滞大系统的稳定性

On the Stability of A Certain Quasi-linear Delay Large-scale System

本文通过构造具体的Liapunov泛函及大系统的分解方法,利用Barbalat的一个结果,对一类拟线性时滞大系统的稳定性问题进行了讨论,得到了保证其渐近稳定的易于验证的充分性代数判据,所得结果改进和推广了文[4]的定理。

By ecnstrueting Liapunov functionals arid the methods of decompositions of large-scale system, in this paper, we deal with the Stability of the quasi-linear delay system x′(t)=A(t,x(t))x(t,t-τ), x∈R^n and obtain some easy-verifiable algebraic sufficient results. These results generalize the theorem in [4].