A Stability Criterion for Delay Differential Equations With Impulse Effects
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Date
2007
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World Scientific Publishing Co.
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Green Open Access
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Abstract
In this paper, we prove that if a delay differential equation with impulse effects of the form x’(t) = A(t)x(t) + B(t)x(t - τ), t ≠ θi, Δx(θi) = Cix(θi) + Dix(θi-j); i ∈ 2 N; verfies a Perron condition then its trivial solution is uniformly asymptotically stable. © 2007 by World Scientific Publishing Co. Pte. Ltd. All rights reserved.
Description
Keywords
Adjoint, Delay, Impulse, Perron, Uniform Asymptotic Stability
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Alzabut, J.O.;, "A Stability Criterion for Delay Differential Equations With Impulse Effects", Applied Analysis and Differential Equations: Lasi, Romania, 4-9 September 2006, pp. 1-10, (2007).
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1
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Applied Analysis and Differential Equations: Lasi, Romania, 4-9 September 2006
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1
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10
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