A hybrid symbolic-numerical simulation method for some typical boundary control problems
Although boundary control of linear partial differential equations has become an important research area, there is still no readily available simulation tool to help researchers analyze and design. In this article, a simulation method for some typical boundary control problems, combining symbolic math and a numerical method, is presented with application examples. In the intermediate steps of the simulation, an important by-product, transfer function of the controlled system, can be obtained, which makes the design of more advanced boundary controllers possible and much easier.
symbolic numeric simulation boundary control beam equation numerical inverse laplace transform