Frequency-domain criteria for global stability of dynamic systems with the Prandtl and play operators


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Abstract

The frequency criterion of the global stability of dynamic systems with the Prandtl and “play” operator is formulated. The scheme of its proof is given. The advantage of the criterion obtained as compared with the known Logemann–Ryan criterion is shown.

About the authors

G. A. Leonov

St. Petersburg State University

Author for correspondence.
Email: leonov@math.spbu.ru
Russian Federation, St. Petersburg, 199034

K. D. Aleksandrov

St. Petersburg State University

Email: leonov@math.spbu.ru
Russian Federation, St. Petersburg, 199034

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