A new method for the approximation of certain non-linear systems

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A new method for the approximation of certain non-linear systems

Molnár, Sándor; Molnár, Márk

Pure mathematics and applications, 07/2024, Volume: 31, Issue: 1

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A common problem in systems and control theory is to provide an approximation to non-linear systems. We provide a novel approach as a general solution to this problem originally conceived by Gamkrelidze. We consider and solve a general approximation problem which provides the fundamentals for various switching-type systems thus encompassing a wide range of systems theory problems.

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