【摘要】 基于时滞微分方程稳定性理论,针对一类状态向量中含有时滞的控制系统,研究其时滞相关稳定性问题.通过构造Lyapunov函数,获得了系统稳定、分岔的时滞相关充分条件,所得结论推广和改进了某些已有文献的相应结果.且借助实例及仿真结果解释所得结果的有效性.更多还原

【Abstract】 Based on the stability theory of time-delayed differential equations,the delay-dependent stability for a control system with time-delay in its state vector is studied.By introducing Lyapunov function,a delay-dependent sufficient condition from stability to bifurcation is derived,the results presented in this paper a re the improvement and extension of the existing ones.A numerical examples is given to illuminate the validity of the results derived.更多还原