Abstract：By using the method of analogy to construct Lyapunov function, the stability of a class of third-order nonlinear delay system is discussed and some sufficient conditions of global asymptotical stability of its zero solution are obtained. In the proof, the condition that generally required for Lyapunov function to be infinite is removed; only the positive orbit of the system to be bounded is demanded, which is determined by the similar method to construct the outside boundary of Poincare-Bendixson annular region. Finally, some results of the global stability of the nonlinear delay system extended by some universal third-order nonlinear system are presented.
姚洪兴, 孟伟业 . 一类三阶非线性时滞系统的全局渐近稳定性[J]. 江苏大学学报（自然科学版）, 2008, 29(3): 269-272.
Yao Hongxing, Meng Weiye- . Global asymptotic stability of a class of third-order nonlinear delay system[J]. Journal of Jiangsu University(Natural Science Eidtion)
, 2008, 29(3): 269-272.
2008, Vol. 29 
