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Method for Computing Time Response of Systems Described by Transfer Functions
Authors:Kishore Singhal  Jiri Vlach
Institution:Faculty of Engineering, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
Abstract:A simple numerical method for computing the time domain response of linear time invariant systems described by their transfer functions is presented. The method does not require computation of transfer function poles or residues; it is not influenced by the multiplicity of poles or zeroes, nor does it require computation of the matrix exponential. Rather, it is based on a numerical method for inverting Laplace transforms. It is equivalent to very high order, absolutely stable numerical integration. Stiff systems present no problems.
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