Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4636400 | Applied Mathematics and Computation | 2007 | 6 Pages |
Abstract
This paper considers certain neutral differential equation with the distributed delayddt[x(t)+c(t)x(t-τ)]+p(t)x(t)+q(t)x(t-σ)+r(t)∫t-δtx(s)ds=0.Without imposing a nonnegative restriction on coefficients of the equation, we establish a delay-dependent asymptotic stability condition for the equation by introducing a new Lyapunov function. The condition presented here is different from that of Park [J.H. Park, LMI optimization approach to asymptotic stability of certain neutral delay differential equation with time-varying coefficients, Appl. Math. Comput. 160 (2005) 355–361] in the sense that it is dependent on all delays of the equation. Numerical examples illustrate effectiveness and sharpness of our theoretical result.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yuan Gong Sun,