论文标题
lyapunov的方法，用于阻尼的蒂莫申科梁的指数稳定性
A Lyapunov approach for the exponential stability of a damped Timoshenko beam
论文作者
论文摘要
在此技术说明中，我们考虑具有空间变化参数的粘性timoshenko束方程的稳定性。在哈米尔顿港框架的帮助下，我们首先证明了解决方案的存在，并通过适当的Lyapunov函数证明该系统是指数稳定的，并且具有显式的衰减率。计算出明确的指数结合，以提供一些说明性示例，我们提供了一些数值模拟。
In this technical note, we consider the stability properties of a viscously damped Timoshenko beam equation with spatially varying parameters. With the help of the port-Hamiltonian framework, we first prove the existence of solutions and show, by an appropriate Lyapunov function, that the system is exponentially stable and has an explicit decay rate. The explicit exponential bound is computed for an illustrative example of which we provide some numerical simulations.
