论文标题
转发技术，用于全局稳定无限二维系统的全局稳定技术
Forwarding techniques for the global stabilization of dissipative infinite-dimensional systems coupled with an ODE
论文作者
论文摘要
本文介绍了由无限维系统和颂歌组成的耦合系统的稳定。此外，在ODE的动力学中出现的控制受到一般非线性类别的约束。例如，当执行器承认动态时，可能会出现这种情况。开环旋风是指数稳定的，开环无限二二维系统是耗散的，即能量是非燃料的，但其平衡点不一定有吸引力。反馈设计基于有限维方法的扩展，即转发方法。我们提出了一些足够的条件，暗示了闭环系统的适当性和全球渐近稳定性。作为例证，我们将这些结果应用于连接的传输方程，并将其应用于颂歌。
This paper deals with the stabilization of a coupled system composed by an infinite-dimensional system and an ODE. Moreover, the control, which appears in the dynamics of the ODE, is subject to a general class of nonlinearities. Such a situation may arise, for instance, when the actuator admits a dynamics. The open-loop ODE is exponentially stable and the open-loop infinite-dimensional system is dissipative, i.e., the energy is nonincreasing, but its equilibrium point is not necessarily attractive. The feedback design is based on an extension of a finite-dimensional method, namely the forwarding method. We propose some sufficient conditions that imply the well-posedness and the global asymptotic stability of the closed-loop system. As illustration, we apply these results to a transport equation coupled with an ODE.
