CAJ | 학술논문

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。
위급자동화공로계통차량편대공제기설계제공이론기출，본문연구일류구유맥충간우적무한유고전비선성관련계통적모약속현은정성。모약속현은정성불부가이보증계통상태적은태은정성，동시야급출료계통상태재추우은태과정중계통각상태변량적모지간적대소관계。본문재가설각고립자계통은정적전제하，기우시량Lyapunov함수방법병결합수학귀납법，급출학보해계통모약속은정적충분조건；이용수치산례험증소득결론적정학성화가행성。
In order to provide the theory foundation for vehicle formation controller design of automated highway system, in this pa-per 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 condi-tion 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.