On the Robust Stability of Interval Coefficients Neutral Type Linear Constant Control Systems with Multi-groups Multi-delays (1)

Abstract

In this paper, we give out the result for the asymptotic stability of the closed-loop system of the deterministic coefficients linear constant control systems without time-delays x i (t)=? j=1 n a ij x j (t)+ ?m f=1 b 1f u f (t), i=1,...,n imply the robust asymptotic stability of the closed-loop system of the interval coefficients neutral type linear constant control systems with multi-group multi-delays x i (t)= ?n j=1 a-(0) 1ij x j (t)+ ?1 r=1 ?n j=1 a-(r) 1ij [x j (t-?(r) 1ij )-x j (t)] + ?2 l=1 ?n j=1 a-(1) 21j [x j (t-?(1) 21j )-x 1 (t)] + ?m f=1 b 1if u f (t), i=1,...,n. At the same time, we give out the estimate formulae of the interval length limitations and time delay limitation.