Petrovsky板方程在Dirichlet边界控制下的适定性

Well-Posedness of Petrovsky Plate Equation with Dirichlet Boundary Control

讨论了Petrovsky板方程在Dirichlet边界控制和同位观测下的适定性,通过证明输入输出稳定性,证明了系统在D.Salamon意义下是适定的.

We discuss the well-posedness of Petrovsky plate equation with Dirichlet boundary control and collocated observation. We show that the system is well-posed in the sense of D. Salamon by proving the stability of the input and output.