Insulation system for thermoacoustic insulation of a component to be insulated, such as an exhaust gas component, comprising a fiber molded part having a surface facing away from the component to be insulated, where the surface facing away is at least in part jacketed with a cladding, and having an insulation surface facing the component to be insulated, where the fiber molded part is applied to the component to be insulated such that at least one cavity is formed between a portion of the insulation surface of the fiber molded part and the component to be insulated.