Title :
Stability analysis in a neutral nonlinear differential equations with two delays
Author :
Bi, Xiaohua ; Jiang, Zhichao
Author_Institution :
Fundamental Sci. Dept., North China Inst. of Astronaut. Eng., Langfang, China
Abstract :
In this paper, based on the basic theorem on zeros of general transcendental functions, we investigate the stability and the existence of Hopf bifurcation at zero for a lossless transmission line network which is described by a two- delayed differential-difference equation of neutral type. At last, some numerical simulations to support the analytical conclusions are carried on.
Keywords :
delays; differential equations; nonlinear control systems; stability; Hopf bifurcation; general transcendental functions; lossless transmission line network; neutral nonlinear differential equations; numerical simulations; stability analysis; two delays; Propagation losses;
Conference_Titel :
Computer Application and System Modeling (ICCASM), 2010 International Conference on
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4244-7235-2
Electronic_ISBN :
978-1-4244-7237-6
DOI :
10.1109/ICCASM.2010.5619390
