Absolute stability and absolute instability of control systems with several nonlinear nonstationary elements (Q800273)

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scientific article; zbMATH DE number 3877026
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Absolute stability and absolute instability of control systems with several nonlinear nonstationary elements
scientific article; zbMATH DE number 3877026

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    Absolute stability and absolute instability of control systems with several nonlinear nonstationary elements (English)
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    1983
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    Using the technique of Lyapunov functions conditions are found for absolute stability and instability of the time-dependent control system \[ \dot x(t)=Ax(t)+f_ 1(c^ T_ 1x(t),t)+...+f_ k(c^ T_ kx(t),t),\quad x(t)\in {\mathbb{R}}^ n. \]
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    Lyapunov functions
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    absolute stability
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    instability
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