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Lyapunov–Krasovskii functionals for scalar time delay equations

✍ Scribed by V.L. Kharitonov


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
645 KB
Volume
51
Category
Article
ISSN
0167-6911

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✦ Synopsis


In this paper a procedure for construction of complete type Lyapunov-Krasovskii functionals for a scalar time delay equation is considered. The functionals depend on a scalar function which satisÿes a time delay equation. It is shown that the scalar function satisÿes also a high order delay free di erential equation. In order to specify the function additional boundary conditions are given.

Robust stability conditions based on the Lyapunov-Krasovskii functionals are presented.


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