We study the small vibrations of an axially travelling string with a dashpot damping at one end. The is modelled by wave equation in time-dependent interval two endpoints moving constant speed v. For undamped case, we obtain conserved functional equivalent to energy solution. derive precise upper and lower exponentially decaying estimates for explicit constants. These do not seem be reported li...

Achieving speed, safety and energy optimization in vehicle platoons is among the important topics of recent years. In this context, work focuses on improving string stability (SS) heterogeneous platoons. Better SS allows for smaller gap between vehicles, which means shorter time headway Cooperative Adaptive Cruise Control (CACC) or inter-vehicle following-distance platooning. Shorter distance r...

The paper investigates the possibility of using macroscopic information to improve control performance a vehicular platoon composed autonomous vehicles. A mesoscopic traffic modeling framework is proposed, and closed loop String Stability achieved by exploiting Input-to-State (ISS) for analysis platoon. Examples laws are illustrated simulations show effectiveness our approach in ensuring improv...