Impulsive control for differential systems with delay. (English) Zbl 1276.34060

Nonlinear finite-dimensional, nonstationary impulsive systems with constant delay in the state variables are considered. Using Lyapunov functionals sufficient conditions for asymptotic stability are formulated and proved. The special case of linear systems is discussed, and sufficient conditions for asymptotic stability are derived. Similar stability results can be found in the papers [X. Liu, Math. Comput. Modelling 39, No. 4–5, 511–519 (2004; Zbl 1081.93021) and Z. Yang and D. Xu, Comput. Math. Appl. 53, No. 5, 760–769 (2007; Zbl 1133.93362)].


34K20 Stability theory of functional-differential equations
34K45 Functional-differential equations with impulses
34K35 Control problems for functional-differential equations
Full Text: DOI


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