Impulsive Stabilization of Linear Delay Differential Equations
نویسنده
چکیده
The paper is concerned with stabilization of a scalar delay differention equation ẋ(t)− m ∑ k=1 Ak(t)x[hk(t)] = 0, t ≥ 0, x(ξ) = φ(ξ), ξ < 0, by introducing impulses in certain moments of time x(τj) = Bjx(τj − 0), j = 1, 2, . . . . Explicit stability results are presented both for the equation with positive coefficients and for the equation with Ak being of arbitrary sign. Supported by Israel Ministry of Absorption and by Israel Ministry of Science and Technology
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Impulsive Stabilization of a Class of Stochastic Functional Differential Equations with Time Delays
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