Stability investigation for linear periodic time-delayed systems using Fredholm theory |
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| Authors: | B P Lampe E N Rosenwasser |
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| Affiliation: | 1.University of Rostock,Rostock,Germany;2.State University of Ocean Technology,St. Petersburg,Russia |
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| Abstract: | A single-loop linear periodic system with time delay is considered. Using the mathematical tool of integral Fredholm equations
of the second kind, a characteristic function is constructed, the roots of which are inverses of the multipliers of the system.
Rigorous sufficient stability conditions are given, which are based on approximate representation of the characteristic function
in the form of a polynomial. |
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