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A differential transformation technique for the analysis of a class of non-linear time varying systems

Taylor and Francis Group
Publication Date
  • Computer Science & Automation (Formerly
  • School Of Automation)


The scope of the differential transformation technique, developed earlier for the study of non-linear, time invariant systems, has been extended to the domain of time-varying systems by modifications to the differential transformation laws proposed therein. Equivalence of a class of second-order, non-linear, non-autonomous systems with a linear autonomous model of second order is established through these transformation laws. The feasibility of application of this technique in obtaining the response of such non-linear time-varying systems is discussed.

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