Further results on robust stability for uncertain neutral systems with distributed delay

Abstract

This paper studies the problem of robust stability for uncertain neutral systems with distributed delay. By utilizing the incorporation of a new integral inequality technique and a novel Lyapunov–Krasovskii functional, some reduced conservative delay-dependent stability conditions for asymptotic stability are established. Then some special cases of neutral systems are discussed. Based on these delay-dependent stability conditions, the condition for robustness is obtained for uncertain linear delayed systems. All these stability conditions are given in terms of linear matrix inequalities (LMIs), which can easily be computed by the LMI toolbox of Matlab. Finally, several examples are discussed in detail to display the usefulness and superiority of the obtained results.

Time-delayed local feedback control for a chaotic finance system

“…The corresponding optimization problem can be written as Problem 2 min P,X,Y ,p p s.t. LMIs (26)- (27) and P ≤ pI hold.…”

“…Lemma 1 ( [26,27]) For a given n × n matrix Z > 0, two scalars a and b satisfying b > a and a differentiable vector function ω(t) ∈ R n , we have the following integral inequalities:…”