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中文摘要：
为给自动化公路系统车辆编队控制器设计提供理论基础,本文研究一类具有脉冲干扰的无限维顾前非线性关联系统的模约束弦稳定性。模约束弦稳定性不仅可以保证系统状态的稳态稳定性,同时也给出了系统状态在趋于稳态过程中系统各状态变量的模之间的大小关系。本文在假设各孤立子系统稳定的前提下,基于矢量Lyapunov函数方法并结合数学归纳法,给出确保该系统模约束稳定的充分条件;利用数值算例验证所得结论的正确性和可行性。
英文摘要：
In order to provide the theory foundation for vehicle formation controller design of automated highway system,in this paper some researches on the stability with mode constraint of a class of infinite- dimensional look- ahead nonlinear interconnected systems with impulsive were studied. Intuitively the string stability with mode constraint not only can guarantee the stability of steady-state of the system but also give the size relationship of the state variables when the system converges to steady- state process. Under the condition that the isolate subsystems were stable,some sufficient conditions ensuring the string stability with mode constraint of the system were obtained by using the vector Lyapunov function method and mathematical induction. A numerical example with simulations was given to show the correctness and practicability of the obtained results.
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