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Lapunov’s functions usage in radio circuits’ theory

National Technical University of Ukraine "Kyiv Polytechnic Institute"
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  • Mathematics
  • Physics


When analyzing linear differential equations’ stability using Lapunov’s second method, Lapunov’s functions are usually chosen in quadratic form. In radio circuits’ theory Lapunov’s second method by force of existing traditions is applied in rarer cases than for example in mechanics or astronomy. In this article several modifications of the Lapunov’s function are suggested on parametric circuit example. Method which is used here applies to linear radio circuits of general type.

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