论文标题
转发设计，用于稳定具有锥体结合输入非线性的耦合传输方程
Forwarding design for stabilization of a coupled transport equation-ODE with a cone-bounded input nonlinearity
论文作者
论文摘要
我们提出了一种新的设计技术，用于以馈电形式稳定耦合ODE-PDE系统。特别是，我们解决了由标量驱动的一维运输方程的稳定问题，该方程是通过锥体结合的非线性控制的。未强制的运输方程是保守的，但渐近稳定。提出的技术灵感来自90年代早期引入的转发方法。讨论了闭环系统的适应性和渐近稳定性。
We propose a new design technique for the stabilization of coupled ODE-PDE systems in feedforward form. In particular, we address the stabilization problem of a one-dimensional transport equation driven by a scalar ODE which is controlled via a cone-bounded nonlinearity. The unforced transport equation is conservative but not asymptotically stable. The proposed technique is inspired by the forwarding approach early introduced in the 90's. Well-posedness and asymptotic stability of the closed-loop system are discussed.
