Delay-dependent stability criteria for neutral delay differential and difference equations
نویسندگان
چکیده
منابع مشابه
On Delay-dependent Stability for Neutral Delay-differential Systems
This paper deals with the stability problem for a class of linear neutral delaydifferential systems. The time delay is assumed constant and known. Delaydependent criteria are derived. The criteria are given in the form of linear matrix inequalities which are easy to use when checking the stability of the systems considered. Numerical examples indicate significant improvements over some existing...
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Recently Mao et al. [18] established a number of useful stability criteria in terms of M-matrices for nonlinear stochastic differential delay equations with Markovian switching, and the criteria there are independent of time delay. Such criteria are in general good for large delay but might not be good enough for small delay. When the time lag is sufficiently small, it is useful to obtain delay...
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Some sufficient conditions are established for the oscillation of second-order neutral differential equation x t p t x τ t ′′ q t f x σ t 0, t ≥ t0, where 0 ≤ p t ≤ p0 < ∞. The results complement and improve those of Grammatikopoulos et al. Ladas, A. Meimaridou, Oscillation of second-order neutral delay differential equations, Rat. Mat. 1 1985 , Grace and Lalli 1987 , Ruan 1993 , H. J. Li 1996 ...
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This article concerns the behavior of the solutions to periodic linear neutral delay differential equations as well as to periodic linear neutral delay difference equations. Some new results are obtained via two appropriate distinct roots of the corresponding (so called) characteristic equation.
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2014
ISSN: 1078-0947
DOI: 10.3934/dcds.2014.34.4577