Absolute stability of control systems with retarded argument (Q923207)
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scientific article; zbMATH DE number 4169165
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Absolute stability of control systems with retarded argument |
scientific article; zbMATH DE number 4169165 |
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Absolute stability of control systems with retarded argument (English)
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1990
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The authors establish new results about absolute stability domains for the trivial solution to the following system \[ \dot x=Ax(t)+Bx(t- \tau)+b_ 1f(\sigma (t))+b_ 2f(\sigma (t-\tau)), \] \[ \sigma (t)=d^ T_ 1x(t)+d^ T_ 2x(t-\tau),\quad 0\leq \sigma f(\sigma)\leq K\sigma,\quad f(0)\equiv 0. \] To prove the theorems the Lyapunov function method is used.
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automatic control systems
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differential-difference equations
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absolute stability
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Lyapunov function method
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