Stability of bilinear time-delay systems (Q2711458)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of bilinear time-delay systems |
scientific article |
Statements
Stability of bilinear time-delay systems (English)
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5 July 2001
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output stabilization
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bilinear delay system
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For the bilinear delay system NEWLINE\[NEWLINE\dot x(t)= A(t) x(t)+ A_1(t) x(t-\tau)+ B(t) x(t)u(t)+ C(t) u(t),NEWLINE\]NEWLINE NEWLINE\[NEWLINEx(t)= \varphi(t),\qquad t\in [t_0- \tau, t_0],NEWLINE\]NEWLINE where \(u(t)\) is the feedback control NEWLINE\[NEWLINEu(t)= f(y(t)),\qquad y(t)= H(t) x(t),NEWLINE\]NEWLINE theorems on stability and asymptotic stability of the zero state are proved.
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