Robust controller design for a class of time-delay systems with nonlinear uncertainties (Q2725170)
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scientific article; zbMATH DE number 1618822
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Robust controller design for a class of time-delay systems with nonlinear uncertainties |
scientific article; zbMATH DE number 1618822 |
Statements
26 August 2002
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robust stabilization
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Lyapunov functional
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nonlinear uncertainties
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unknown bounded delay
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robust stability
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linear matrix inequality
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Robust controller design for a class of time-delay systems with nonlinear uncertainties (English)
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A differential equation with norm-bounded nonlinear uncertainties and with unknown bounded delay is considered: NEWLINE\[NEWLINE\begin{aligned} \dot x(t)= Ax(t)+ A_1x(t- d(t))&+ Bu(t)+ f(x(t), x(t- d(t)), u(t),t),\;x(t)\in \mathbb{R}^n,\\ u(t)&= Kx(t).\end{aligned}NEWLINE\]NEWLINE A criterion for robust stability is obtained in the form of a linear matrix inequality.
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