Abstract
Stability criteria (Routh, Hurwitz, Mikhailov) for linear autonomous systems of differential equations and the possibility of generalizing them and implementing in computer programs are discussed. It is shown that the Mikhailov criterion is advantageous for visualization and generalization to systems with delay. A finitization of the frequency range and hodograph to display it is proposed. The validity of the Mikhailov criterion for systems with delay is proved based on the argument principle. Examples are considered. The Aizerman problem of asymptotic stability of quasilinear systems is analyzed. Systems of differential equations with constant and periodic matrices are considered. The results can be used to analyze and design various electromechanical systems
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