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Simple recursive processes for determining Laplace and Z transforms of the zero-input responses of linear time-invariant systems

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1 Author(s)
O'Connell, R.M. ; Electr. Eng. Dept., Missouri Univ., Columbia, MO, USA

Simple recursive methods are derived for quickly and easily writing either the Laplace transform of the zero-input response of a linear time-invariant continuous-time system or the z-transform of the zero-input response of a linear time-invariant discrete-time system. Application of the results to example systems shows that the derived processes make it possible to express the transform of the zero-input response nearly as easily as writing the transform of the zero-state response

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Education, IEEE Transactions on  (Volume:45 ,  Issue: 2 )