Lyapunov-Krasovskii functionals and frequency domain: Delay-independent absolute stability criteria for delay systems (Q2730970)
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scientific article; zbMATH DE number 1625308
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lyapunov-Krasovskii functionals and frequency domain: Delay-independent absolute stability criteria for delay systems |
scientific article; zbMATH DE number 1625308 |
Statements
2 January 2002
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absolute stability
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nonlinear delay systems
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sector bounded nonlinearities
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necessary frequency domain condition
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quadratic Lyapunov-Krasovskii functional
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Kalman-Yakubovich-Popov lemma
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linear matrix inequalities
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Lyapunov-Krasovskii functionals and frequency domain: Delay-independent absolute stability criteria for delay systems (English)
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The author provides some delay-independent absolute stability criteria for nonlinear delay systems with sector bounded nonlinearities. The results presented here give a necessary frequency domain condition for the existence of a quadratic Lyapunov-Krasovskii functional and hence establishes for delay systems a link analogous to the Kalman-Yakubovich-Popov lemma. The results are expressed in terms of linear matrix inequalities, which are numerically easy to check.
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