Delay-dependent robust stabilizing control law design for a class of uncertain time-delay systems (Q2725356)
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scientific article; zbMATH DE number 1619169
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Delay-dependent robust stabilizing control law design for a class of uncertain time-delay systems |
scientific article; zbMATH DE number 1619169 |
Statements
23 April 2002
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quadratic constraints
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feedback stabilization
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delay system
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linear matrix inequalities
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quadratic Lyapunov-Razumikhin function
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Delay-dependent robust stabilizing control law design for a class of uncertain time-delay systems (English)
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One considers a feedback stabilization of the delay system NEWLINE\[NEWLINE\begin{multlined} \dot x=\bigl( A+H_1F_1(t) E_1\bigr)x(t)+ \bigl(A_1+ H_2 F_2(t)E_2 \bigr)x \bigl(t-d(t)\bigr)+ \\ +\bigl(B+H_3 F_3(t)E_3\bigr) u(t)+ \bigl(B_1+ H_4F_4(t)E_4 \bigr)u\bigl(t-h(t) \bigr) \end{multlined}NEWLINE\]NEWLINE where \(F_i^*(t) F_i(t)\leq I\) and \(d(t)\), \(h(t)\) are nonnegative and bounded. The control is \(u=Kx\) and \(K\) is chosen by solving some linear matrix inequalities obtained via a quadratic Lyapunov-Razumikhin function.
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