Investigation on absolute stability of regulated systems in a simple critical case

2016

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DOI 10.1063/1.4959641
Data confidence 70 medium
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Abstract

A new method for studying absolute stability of the equilibrium position of nonlinear regulated systems in a simple critical case by evaluating improper integrals along the solutions of the system is proposed. Sectors are found, where the equilibrium position of the system is absolutely stable and the Aizerman problem has a positive solution. The effectiveness of the method is shown in the example.