Digest of IEE Coll. on Multidimensional Systems, London, 1998/225, pp. 1/1-1/7 TRANSFER FUNCTION MODELS OF MULTIDIMENSIONAL PHYSICAL SYSTEMS
نویسنده
چکیده
Transfer functions models of linear systems are a well established tool for the design and analysis of one-dimensional systems. This is not the case for multidimensional physical systems, given in terms of initial boundary value problems. Here, the only mathematical description of widespread use are partial di erential equations. This contribution shows, how the one-dimensional transfer function concept can be generalized to multidimensional systems with initial and boundary conditions. The idea is rst introduced by a simple example and then extended to arbitrary spatial dimensions, general boundary conditions, space dependent coe cients and non self-adjoint di erential operators.
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