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

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 xi (t)=¿j=1ⁿ aijxj (t)+ ¿^mf=1 b1f uf (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 xi (t)= ¿ⁿj=1 a^-(0)1ij xj(t)+ ¿¹r=1 ¿ⁿj=1 a^-(r)1ij [xj (t-¿^(r)1ij)-xj (t)] + ¿²l=1 ¿ⁿj=1 a^-(1)21j [xj (t-¿⁽¹⁾21j)-x1 (t)] + ¿^mf=1 b1if uf (t), i=1,...,n. At the same time, we give out the estimate formulae of the interval length limitations and time delay limitation.