Direct Lyapunov method in the study of asymptotics of phase systems (Q2879983)
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scientific article; zbMATH DE number 6022829
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Direct Lyapunov method in the study of asymptotics of phase systems |
scientific article; zbMATH DE number 6022829 |
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10 April 2012
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Lyapunov function
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Popov functional
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phase systems
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Direct Lyapunov method in the study of asymptotics of phase systems (English)
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This paper is devoted to the study of asymptotic behavior of solutions to control systems with periodic nonlinearities. Classes of continuous lumped parameter systems (described by systems of ordinary differential equations), distributed parameter systems (described by the Volterra integro-differential equations), and discrete systems (described by difference equations) are considered. For these systems, frequency-domain conditions are proposed for the limit behavior of solutions. The results obtained are based on the method of a-priori estimates due to V.M. Popov.
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