Impulsive stabilization of functional differential equations via Lyapunov functionals. (English) Zbl 0955.34069

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 \[ x'(t)= f(t, x_t),\quad t\geq t_0,\quad \Delta_x= I_k(t, x(t^-)),\quad t= t_k,\quad k\in \mathbb{Z}^+. \]


34K45 Functional-differential equations with impulses
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