用具有系统化选择策略的Backstepping方法研究容易引起心肌梗塞等疾病的血管痉挛的同步问题.通过选择一系列Lyapunov函数,构造出适当的控制器,使得驱动系统和响应系统的同步误差稳定到平衡点,并在全局范围内达到同步,从理论上研究了处于血管痉挛状态的血管与正常血管的运动同步行为.仿真结果表明了该方法的可行性.
In this paper, a method of vasospasm synchronization is proposed using a Backstepping technique. Vasospasm is a biomathematical model of muscular vessel arising in diseases such as miocardial infarction. A suitable controller is designed by selecting a series of Lyapunov functions, making synchronization error between the master and slave systems approach an equilibrium point. Global stability and synchronization can be achieved. In theory, a vessel in spasticity would synchronize with the normal vessel. Simulation results are presented to show the effectiveness of the proposed approach.