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Impulsive stabilization of functional differential equations via Lyapunov functionals - MaRDI portal

Impulsive stabilization of functional differential equations via Lyapunov functionals (Q1963960)

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scientific article; zbMATH DE number 1398592
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Impulsive stabilization of functional differential equations via Lyapunov functionals
scientific article; zbMATH DE number 1398592

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    Impulsive stabilization of functional differential equations via Lyapunov functionals (English)
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    21 February 2001
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    The authors discuss the use of the second Lyapunov method and the use of Lyapunov functionals in the analysis of impulsive stabilization problems concerning functional-differential equations of the form \[ x'(t)= f(t, x_t),\quad t\geq t_0,\quad \Delta_x= I_k(t, x(t^-)),\quad t= t_k,\quad k\in \mathbb{Z}^+. \]
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    impulsive differential equations
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    Lyapunov method
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